Expectation and Maximization Based Multistate Modeling and Its Applications

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Publisher :
ISBN 13 :
Total Pages : 182 pages
Book Rating : 4.:/5 (422 download)

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Book Synopsis Expectation and Maximization Based Multistate Modeling and Its Applications by : Sejong Bae

Download or read book Expectation and Maximization Based Multistate Modeling and Its Applications written by Sejong Bae and published by . This book was released on 1999 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Expectation Maximization and Its Application in Modeling, Segmentation and Anomaly Detection

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ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Expectation Maximization and Its Application in Modeling, Segmentation and Anomaly Detection by : Ritesh Ganju

Download or read book Expectation Maximization and Its Application in Modeling, Segmentation and Anomaly Detection written by Ritesh Ganju and published by . This book was released on 2006 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Expectation Maximization (EM) is a general purpose algorithm for solving maximum likelihood estimation problems in a wide variety of situations best described as incomplete data problems. The incompleteness of the data may arise due to missing data, truncated distributions, etc. One such case is a mixture model, where the class association of the data is unknown. In these models, the EM algorithm is used to estimate the parameters of parametric mixture distributions along with the probabilities of occurrence. In this thesis, the EM algorithm is employed to estimate different mixture models for raw single and multi-band electro-optical Infra Red (IF) data"--Abstract, leaf iii.

Modeling Multistate Models with Back Transitions: Statistical Challenges and Applications

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ISBN 13 :
Total Pages : 130 pages
Book Rating : 4.:/5 (17 download)

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Book Synopsis Modeling Multistate Models with Back Transitions: Statistical Challenges and Applications by : Hilary Jeanne Aralis

Download or read book Modeling Multistate Models with Back Transitions: Statistical Challenges and Applications written by Hilary Jeanne Aralis and published by . This book was released on 2016 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multistate models are widely used in health research to analyze life history processes in which each individual is assumed to occupy one of a finite number of states at any given point in time. Models allowing for back transitions are necessary when considering recurrent events or disease states from which recovery is possible along with subsequent return to illness. The objective of this dissertation is to consider current challenges in the statistical analyses of multistate models arising in public health. Applications to the fields of HIV/AIDS and dementia are considered. To assess the effect of concurrent or overlapping partnership patterns on the trajectory of the HIV epidemic in a population, it is necessary to estimate both the extent and the magnitude of concurrency. Data are typically available in the form of retrospective sexual history reports. We introduce a joint multistate and point process model in which states are defined as the number of ongoing partnerships an individual is engaged in at a given time. Sexual partnerships starting and ending on the same date are referred to as one-offs and modeled as discrete events. The proposed method treats each individual's continuation in and transition through various numbers of ongoing partnerships as a separate stochastic process and allows the occurrence of one-offs to impact subsequent rates of partnership formation and dissolution. Among a sample of men having sex with men and seeking HIV testing at a Los Angeles clinic, the estimated point prevalence of concurrency was higher among men later diagnosed HIV positive. One-offs were associated with increased rates of subsequent partnership dissolution. In constructing a disease progression multistate model, panel data consisting of the states occupied by an individual at a series of discrete time points are often used to to estimate transition intensities of the underlying continuous-time process. When transition intensities depend on the time elapsed in the current state and back transitions between states are possible, this intermittent observation process leads to intractability of the likelihood function. We present an iterative stochastic expectation-maximization (SEM) algorithm that relies on a simulation-based approximation to the likelihood function and implement this algorithm using rejection sampling. In a simulation study, we demonstrate the feasibility and performance of the proposed procedure. We then demonstrate application of the algorithm to a study of dementia, the Nun Study, consisting of intermittently-observed elderly subjects in one of four possible states corresponding to intact cognition, impaired cognition, dementia, and death. We show that the proposed SEM algorithm substantially reduces bias in model parameter estimates compared to an alternative naive approach. We then extend the utility of this disease progression model to settings in which healthy individuals have a non-negligible probability of being misclassified into a disease state. The proposed model accomplishes unbiased estimation of the semi-Markov model parameters associated with transition rates and probabilities while simultaneously estimating the true underlying misclassification rate without requiring information from a gold standard. In applying this SEM algorithm addressing misclassification to the Nun Study, findings suggest that the rate of misclassification may be relatively high among this sample and that true back transitions from impaired to intact cognition are somewhat rare. By describing and addressing statistical challenges in multistate modeling, we demonstrate the utility of and reduce existing barriers to the implementation of such models across a wide range of applications in the field of public health and in situations where imperfect data are available.

Combinatorial Optimization and Applications

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Publisher : Springer Nature
ISBN 13 : 3030648435
Total Pages : 834 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Combinatorial Optimization and Applications by : Weili Wu

Download or read book Combinatorial Optimization and Applications written by Weili Wu and published by Springer Nature. This book was released on 2020-12-04 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of the 14th International Conference on Combinatorial Optimization and Applications, COCOA 2020, held in Dallas, TX, USA, in December 2020. The 55 full papers presented in this volume were carefully reviewed and selected from 104 submissions. The papers are grouped into the following topics: Approximation Algorithms; Scheduling; Network Optimization; Complexity and Logic; Search, Facility and Graphs; Geometric Problem; Sensors, Vehicles and Graphs; and Graph Problems. Due to the Corona pandemic this event was held virtually.

Multistate Models for the Analysis of Life History Data

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Publisher : CRC Press
ISBN 13 : 1498715613
Total Pages : 440 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Multistate Models for the Analysis of Life History Data by : Richard J Cook

Download or read book Multistate Models for the Analysis of Life History Data written by Richard J Cook and published by CRC Press. This book was released on 2018-05-15 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multistate Models for the Analysis of Life History Data provides the first comprehensive treatment of multistate modeling and analysis, including parametric, nonparametric and semiparametric methods applicable to many types of life history data. Special models such as illness-death, competing risks and progressive processes are considered, as well as more complex models. The book provides both theoretical development and illustrations of analysis based on data from randomized trials and observational cohort studies in health research. It features: Discusses a wide range of applications of multistate models, Presents methods for both continuously and intermittently observed life history processes, Gives a thorough discussion of conditionally independent censoring and observation processes, Discusses models with random effects and joint models for two or more multistate processes, Discusses and illustrates software for multistate analysis that is available in R, Target audience includes those engaged in research and applications involving multistate models.

Earthquake Statistical Analysis through Multi-state Modeling

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Publisher : John Wiley & Sons
ISBN 13 : 1786301504
Total Pages : 196 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Earthquake Statistical Analysis through Multi-state Modeling by : Irene Votsi

Download or read book Earthquake Statistical Analysis through Multi-state Modeling written by Irene Votsi and published by John Wiley & Sons. This book was released on 2019-04-02 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Earthquake occurrence modeling is a rapidly developing research area. This book deals with its critical issues, ranging from theoretical advances to practical applications. The introductory chapter outlines state-of-the-art earthquake modeling approaches based on stochastic models. Chapter 2 presents seismogenesis in association with the evolving stress field. Chapters 3 to 5 present earthquake occurrence modeling by means of hidden (semi-)Markov models and discuss associated characteristic measures and relative estimation aspects. Further comparisons, the most important results and our concluding remarks are provided in Chapters 6 and 7.

XIII Balkan Conference on Operational Research Proceedings

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Publisher : FON
ISBN 13 : 8680593648
Total Pages : 437 pages
Book Rating : 4.6/5 (85 download)

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Book Synopsis XIII Balkan Conference on Operational Research Proceedings by : Dragana Makajić-Nikolić

Download or read book XIII Balkan Conference on Operational Research Proceedings written by Dragana Makajić-Nikolić and published by FON. This book was released on 2018-06-10 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Latent Multi-state Models for Non-equidistant Longitudinal Observations with Finite and Infinite Mixture Model-based Clustering

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (111 download)

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Book Synopsis Latent Multi-state Models for Non-equidistant Longitudinal Observations with Finite and Infinite Mixture Model-based Clustering by : Yu Luo

Download or read book Latent Multi-state Models for Non-equidistant Longitudinal Observations with Finite and Infinite Mixture Model-based Clustering written by Yu Luo and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Large amounts of data that exist in the form of longitudinal health records, such as electronic health records (EHRs), healthcare administrative databases and mobile health applications, are now available for dynamic monitoring of the underlying processes governing the observations. However, such latent progression generating the observations is not observed directly and so requires inferential methods to ascertain progression. Moreover, records are only observed when a subject interacts with the healthcare system, resulting in irregular visits where the observations are not collected at equidistant time intervals with possible sparsity. For example, in healthcare databases, chronic disease patients do not seek intensive care at early stage of the disease, and therefore the records may be sparse, and patients might seek care outside the healthcare system, which means that only a segment of the entire health trajectory might be observed. These considerations suggest that trajectories should be modeled as a latent continuous-time process. The progression usually depends on the evolution of different types of time-varying covariates. Incorporating these covariates into the model can advance our understanding of the development of the condition. However, no existing statistical method addresses these issues. To overcome these challenges, the first part of this thesis develops a continuous-time hidden Markov model (CTHMM) under the framework of generalized linear models (GLMs) to analyze the issues of irregular visits, different types of observations and multiple time-dependent covariates. Both likelihood and Bayesian inferences for the CTHMM-GLM are investigated via the expectation-maximization (EM) algorithm and Markov chain Monte Carlo (MCMC) respectively. Bayesian inference is appealing as simulation-based methods can be easily applied to make inference for each individual, and is more efficient when random effects or more complex settings are incorporated into the model. To provide a better understanding of dynamic changes in trajectories, it would be helpful to be able to cluster trajectories, allowing study of the pattern in each group to explore reasons for variation. The second part of this thesis extends the CTHMM-GLM to the finite and infinite mixture model-based clustering methods. We demonstrate that inference for finite mixture models can be inherited from one component CTHMM-GLM, where the EM algorithm and MCMC can be employed. The inference for infinite mixture models is a considerable research challenge, but the posterior distribution can be sampled by Gibbs sampling via Pólya urn schemes and and, more efficiently, split-merge proposals. All the proposed methods are applied to a healthcare administrative database in Montreal and specifically to study the progression of chronic obstructive pulmonary disease (COPD) and to group the trajectories of COPD patients. The description of the dataset and results are presented in the last part of this thesis. The application of the methodology demonstrate that the model can identify the meaningful latent states, the transition pattern and clusters to help the health system managers measure the performance of the healthcare system temporally." --

Safety and Reliability. Theory and Applications

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Publisher : CRC Press
ISBN 13 : 1351809725
Total Pages : 6847 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Safety and Reliability. Theory and Applications by : Marko Cepin

Download or read book Safety and Reliability. Theory and Applications written by Marko Cepin and published by CRC Press. This book was released on 2017-06-14 with total page 6847 pages. Available in PDF, EPUB and Kindle. Book excerpt: Safety and Reliability – Theory and Applications contains the contributions presented at the 27th European Safety and Reliability Conference (ESREL 2017, Portorož, Slovenia, June 18-22, 2017). The book covers a wide range of topics, including: • Accident and Incident modelling • Economic Analysis in Risk Management • Foundational Issues in Risk Assessment and Management • Human Factors and Human Reliability • Maintenance Modeling and Applications • Mathematical Methods in Reliability and Safety • Prognostics and System Health Management • Resilience Engineering • Risk Assessment • Risk Management • Simulation for Safety and Reliability Analysis • Structural Reliability • System Reliability, and • Uncertainty Analysis. Selected special sessions include contributions on: the Marie Skłodowska-Curie innovative training network in structural safety; risk approaches in insurance and fi nance sectors; dynamic reliability and probabilistic safety assessment; Bayesian and statistical methods, reliability data and testing; oganizational factors and safety culture; software reliability and safety; probabilistic methods applied to power systems; socio-technical-economic systems; advanced safety assessment methodologies: extended Probabilistic Safety Assessment; reliability; availability; maintainability and safety in railways: theory & practice; big data risk analysis and management, and model-based reliability and safety engineering. Safety and Reliability – Theory and Applications will be of interest to professionals and academics working in a wide range of industrial and governmental sectors including: Aeronautics and Aerospace, Automotive Engineering, Civil Engineering, Electrical and Electronic Engineering, Energy Production and Distribution, Environmental Engineering, Information Technology and Telecommunications, Critical Infrastructures, Insurance and Finance, Manufacturing, Marine Industry, Mechanical Engineering, Natural Hazards, Nuclear Engineering, Offshore Oil and Gas, Security and Protection, Transportation, and Policy Making.

Efficient Learning Machines

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Publisher : Apress
ISBN 13 : 1430259906
Total Pages : 263 pages
Book Rating : 4.4/5 (32 download)

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Book Synopsis Efficient Learning Machines by : Mariette Awad

Download or read book Efficient Learning Machines written by Mariette Awad and published by Apress. This book was released on 2015-04-27 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Machine learning techniques provide cost-effective alternatives to traditional methods for extracting underlying relationships between information and data and for predicting future events by processing existing information to train models. Efficient Learning Machines explores the major topics of machine learning, including knowledge discovery, classifications, genetic algorithms, neural networking, kernel methods, and biologically-inspired techniques. Mariette Awad and Rahul Khanna’s synthetic approach weaves together the theoretical exposition, design principles, and practical applications of efficient machine learning. Their experiential emphasis, expressed in their close analysis of sample algorithms throughout the book, aims to equip engineers, students of engineering, and system designers to design and create new and more efficient machine learning systems. Readers of Efficient Learning Machines will learn how to recognize and analyze the problems that machine learning technology can solve for them, how to implement and deploy standard solutions to sample problems, and how to design new systems and solutions. Advances in computing performance, storage, memory, unstructured information retrieval, and cloud computing have coevolved with a new generation of machine learning paradigms and big data analytics, which the authors present in the conceptual context of their traditional precursors. Awad and Khanna explore current developments in the deep learning techniques of deep neural networks, hierarchical temporal memory, and cortical algorithms. Nature suggests sophisticated learning techniques that deploy simple rules to generate highly intelligent and organized behaviors with adaptive, evolutionary, and distributed properties. The authors examine the most popular biologically-inspired algorithms, together with a sample application to distributed datacenter management. They also discuss machine learning techniques for addressing problems of multi-objective optimization in which solutions in real-world systems are constrained and evaluated based on how well they perform with respect to multiple objectives in aggregate. Two chapters on support vector machines and their extensions focus on recent improvements to the classification and regression techniques at the core of machine learning.

Advances in Reliability and Maintainability Methods and Engineering Applications

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Publisher : Springer Nature
ISBN 13 : 3031288599
Total Pages : 642 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Advances in Reliability and Maintainability Methods and Engineering Applications by : Yu Liu

Download or read book Advances in Reliability and Maintainability Methods and Engineering Applications written by Yu Liu and published by Springer Nature. This book was released on 2023-07-04 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive book brings together the latest developments in reliability and maintainability methods from leading research groups globally. Covering a diverse range of subject areas, from mechanical systems to cyber-physical systems, the book offers both theoretical advancements and practical applications in various industries. With a focus on reliability modelling, reliability analysis, reliability design, maintenance optimization, warranty policy, prognostics and health management, this book appeals to academic and industrial professionals in the field of reliability engineering and beyond. It features real-world case studies from turbofan engines bearings, industrial robots, wireless networks, aircraft actuation systems, and more. This book is ideal for engineers, scientists, and graduate students in reliability, maintainability, design optimization, prognostics and health management, and applied probability and statistics.

Proceedings of the 6th CIRP-Sponsored International Conference on Digital Enterprise Technology

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Publisher : Springer Science & Business Media
ISBN 13 : 3642104304
Total Pages : 1754 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Proceedings of the 6th CIRP-Sponsored International Conference on Digital Enterprise Technology by : George Q. Huang

Download or read book Proceedings of the 6th CIRP-Sponsored International Conference on Digital Enterprise Technology written by George Q. Huang and published by Springer Science & Business Media. This book was released on 2009-12-12 with total page 1754 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Proceedings volume contains articles presented at the CIRP-Sponsored Inter- tional Conference on Digital Enterprise Technology (DET2009) that takes place December 14–16, 2009 in Hong Kong. This is the 6th DET conference in the series and the first to be held in Asia. Professor Paul Maropoulos initiated, hosted and chaired the 1st International DET Conference held in 2002 at the University of D- ham. Since this inaugural first DET conference, DET conference series has been s- cessfully held in 2004 at Seattle, Washington USA, in 2006 at Setubal Portugal, in 2007 at Bath England, and in 2008 at Nantes France. The DET2009 conference continues to bring together International expertise from the academic and industrial fields, pushing forward the boundaries of research kno- edge and best practice in digital enterprise technology for design and manufacturing, and logistics and supply chain management. Over 120 papers from over 10 countries have been accepted for presentation at DET2009 and inclusion in this Proceedings volume after stringent refereeing process. On behalf of the organizing and program committees, the Editors are grateful to the many people who have made DET2009 possible: to the authors and presenters, es- cially the keynote speakers, to those who have diligently reviewed submissions, to members of International Scientific Committee, Organizing Committee and Advisory Committes, and to colleagues for their hard work in sorting out all the arrangements. We would also like to extend our gratitude to DET2009 sponsors, co-organizers, and supporting organizations.

Safety and Reliability – Safe Societies in a Changing World

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Publisher : CRC Press
ISBN 13 : 1351174657
Total Pages : 3202 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Safety and Reliability – Safe Societies in a Changing World by : Stein Haugen

Download or read book Safety and Reliability – Safe Societies in a Changing World written by Stein Haugen and published by CRC Press. This book was released on 2018-06-15 with total page 3202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Safety and Reliability – Safe Societies in a Changing World collects the papers presented at the 28th European Safety and Reliability Conference, ESREL 2018 in Trondheim, Norway, June 17-21, 2018. The contributions cover a wide range of methodologies and application areas for safety and reliability that contribute to safe societies in a changing world. These methodologies and applications include: - foundations of risk and reliability assessment and management - mathematical methods in reliability and safety - risk assessment - risk management - system reliability - uncertainty analysis - digitalization and big data - prognostics and system health management - occupational safety - accident and incident modeling - maintenance modeling and applications - simulation for safety and reliability analysis - dynamic risk and barrier management - organizational factors and safety culture - human factors and human reliability - resilience engineering - structural reliability - natural hazards - security - economic analysis in risk management Safety and Reliability – Safe Societies in a Changing World will be invaluable to academics and professionals working in a wide range of industrial and governmental sectors: offshore oil and gas, nuclear engineering, aeronautics and aerospace, marine transport and engineering, railways, road transport, automotive engineering, civil engineering, critical infrastructures, electrical and electronic engineering, energy production and distribution, environmental engineering, information technology and telecommunications, insurance and finance, manufacturing, marine transport, mechanical engineering, security and protection, and policy making.

Quality and Reliability Management and Its Applications

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Publisher : Springer
ISBN 13 : 1447167783
Total Pages : 453 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Quality and Reliability Management and Its Applications by : Hoang Pham

Download or read book Quality and Reliability Management and Its Applications written by Hoang Pham and published by Springer. This book was released on 2015-11-20 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrating development processes, policies, and reliability predictions from the beginning of the product development lifecycle to ensure high levels of product performance and safety, this book helps companies overcome the challenges posed by increasingly complex systems in today’s competitive marketplace. Examining both research on and practical aspects of product quality and reliability management with an emphasis on applications, the book features contributions written by active researchers and/or experienced practitioners in the field, so as to effectively bridge the gap between theory and practice and address new research challenges in reliability and quality management in practice. Postgraduates, researchers and practitioners in the areas of reliability engineering and management, amongst others, will find the book to offer a state-of-the-art survey of quality and reliability management and practices.

Safety and Reliability: Methodology and Applications

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Publisher : CRC Press
ISBN 13 : 1315736977
Total Pages : 408 pages
Book Rating : 4.3/5 (157 download)

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Book Synopsis Safety and Reliability: Methodology and Applications by : Tomasz Nowakowski

Download or read book Safety and Reliability: Methodology and Applications written by Tomasz Nowakowski and published by CRC Press. This book was released on 2014-09-01 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within the last fifty years the performance requirements for technical objects and systems were supplemented with: customer expectations (quality), abilities to prevent the loss of the object properties in operation time (reliability and maintainability), protection against the effects of undesirable events (safety and security) and the ability to

Some Applications of Expectation Maximization Algorithm

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Publisher : Eliva Press
ISBN 13 : 9781636486185
Total Pages : 230 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Some Applications of Expectation Maximization Algorithm by : Loc Nguyen

Download or read book Some Applications of Expectation Maximization Algorithm written by Loc Nguyen and published by Eliva Press. This book was released on 2022-03-25 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Expectation maximization (EM) algorithm is a popular and powerful mathematical method for statistical parameter estimation in case that there exist both observed data and hidden data. This book focuses on applications of EM in which the implicit relationship is essential to connect observed data and hidden data. In other words, such applications reinforce EM which in turn extends estimation methods like maximum likelihood estimation (MLE) or moment method.

Methods and Applications of Statistics in the Life and Health Sciences

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Publisher : John Wiley & Sons
ISBN 13 : 0470405090
Total Pages : 1027 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Methods and Applications of Statistics in the Life and Health Sciences by : Narayanaswamy Balakrishnan

Download or read book Methods and Applications of Statistics in the Life and Health Sciences written by Narayanaswamy Balakrishnan and published by John Wiley & Sons. This book was released on 2009-12-02 with total page 1027 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inspired by the Encyclopedia of Statistical Sciences, Second Edition, this volume outlines the statistical tools for successfully working with modern life and health sciences research Data collection holds an essential part in dictating the future of health sciences and public health, as the compilation of statistics allows researchers and medical practitioners to monitor trends in health status, identify health problems, and evaluate the impact of health policies and programs. Methods and Applications of Statistics in the Life and Health Sciences serves as a single, one-of-a-kind resource on the wide range of statistical methods, techniques, and applications that are applied in modern life and health sciences in research. Specially designed to present encyclopedic content in an accessible and self-contained format, this book outlines thorough coverage of the underlying theory and standard applications to research in related disciplines such as biology, epidemiology, clinical trials, and public health. Uniquely combining established literature with cutting-edge research, this book contains classical works and more than twenty-five new articles and completely revised contributions from the acclaimed Encyclopedia of Statistical Sciences, Second Edition. The result is a compilation of more than eighty articles that explores classic methodology and new topics, including: Sequential methods in biomedical research Statistical measures of human quality of life Change-point methods in genetics Sample size determination for clinical trials Mixed-effects regression models for predicting pre-clinical disease Probabilistic and statistical models for conception Statistical methods are explored and applied to population growth, disease detection and treatment, genetic and genomic research, drug development, clinical trials, screening and prevention, and the assessment of rehabilitation, recovery, and quality of life. These topics are explored in contributions written by more than 100 leading academics, researchers, and practitioners who utilize various statistical practices, such as election bias, survival analysis, missing data techniques, and cluster analysis for handling the wide array of modern issues in the life and health sciences. With its combination of traditional methodology and newly developed research, Methods and Applications of Statistics in the Life and Health Sciences has everything students, academics, and researchers in the life and health sciences need to build and apply their knowledge of statistical methods and applications.