Parameter Redundancy And Identifiability

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Parameter Redundancy and Identifiability

Author : Diana Cole
Publisher : CRC Press
ISBN 13 : 1498720900
Total Pages : 273 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Parameter Redundancy and Identifiability by : Diana Cole

Download or read book Parameter Redundancy and Identifiability written by Diana Cole and published by CRC Press. This book was released on 2020-05-10 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical and mathematical models are defined by parameters that describe different characteristics of those models. Ideally it would be possible to find parameter estimates for every parameter in that model, but, in some cases, this is not possible. For example, two parameters that only ever appear in the model as a product could not be estimated individually; only the product can be estimated. Such a model is said to be parameter redundant, or the parameters are described as non-identifiable. This book explains why parameter redundancy and non-identifiability is a problem and the different methods that can be used for detection, including in a Bayesian context. Key features of this book: Detailed discussion of the problems caused by parameter redundancy and non-identifiability Explanation of the different general methods for detecting parameter redundancy and non-identifiability, including symbolic algebra and numerical methods Chapter on Bayesian identifiability Throughout illustrative examples are used to clearly demonstrate each problem and method. Maple and R code are available for these examples More in-depth focus on the areas of discrete and continuous state-space models and ecological statistics, including methods that have been specifically developed for each of these areas This book is designed to make parameter redundancy and non-identifiability accessible and understandable to a wide audience from masters and PhD students to researchers, from mathematicians and statisticians to practitioners using mathematical or statistical models.

Modeling Demographic Processes in Marked Populations

Author : David L. Thomson
Publisher : Springer Science & Business Media
ISBN 13 : 038778151X
Total Pages : 1110 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Modeling Demographic Processes in Marked Populations by : David L. Thomson

Download or read book Modeling Demographic Processes in Marked Populations written by David L. Thomson and published by Springer Science & Business Media. This book was released on 2008-12-11 with total page 1110 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, biologists and statisticians come together in an interdisciplinary synthesis with the aim of developing new methods to overcome the most significant challenges and constraints faced by quantitative biologists seeking to model demographic rates.

Analysis of Capture-Recapture Data

Author : Rachel S. McCrea
Publisher : CRC Press
ISBN 13 : 1439836604
Total Pages : 302 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Analysis of Capture-Recapture Data by : Rachel S. McCrea

Download or read book Analysis of Capture-Recapture Data written by Rachel S. McCrea and published by CRC Press. This book was released on 2014-08-01 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important first step in studying the demography of wild animals is to identify the animals uniquely through applying markings, such as rings, tags, and bands. Once the animals are encountered again, researchers can study different forms of capture-recapture data to estimate features, such as the mortality and size of the populations. Capture-rec

Quantitative Psychology

Author : Marie Wiberg
Publisher : Springer Nature
ISBN 13 : 3031555481
Total Pages : 385 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Quantitative Psychology by : Marie Wiberg

Download or read book Quantitative Psychology written by Marie Wiberg and published by Springer Nature. This book was released on with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Uncertainty Quantification

Author : Ralph C. Smith
Publisher : SIAM
ISBN 13 : 1611977843
Total Pages : 571 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Uncertainty Quantification by : Ralph C. Smith

Download or read book Uncertainty Quantification written by Ralph C. Smith and published by SIAM. This book was released on 2024-09-13 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncertainty quantification serves a fundamental role when establishing the predictive capabilities of simulation models. This book provides a comprehensive and unified treatment of the mathematical, statistical, and computational theory and methods employed to quantify uncertainties associated with models from a wide range of applications. Expanded and reorganized, the second edition includes advances in the field and provides a comprehensive sensitivity analysis and uncertainty quantification framework for models from science and engineering. It contains new chapters on random field representations, observation models, parameter identifiability and influence, active subspace analysis, and statistical surrogate models, and a completely revised chapter on local sensitivity analysis. Other updates to the second edition are the inclusion of over 100 exercises and many new examples — several of which include data — and UQ Crimes listed throughout the text to identify common misconceptions and guide readers entering the field. Uncertainty Quantification: Theory, Implementation, and Applications, Second Edition is intended for advanced undergraduate and graduate students as well as researchers in mathematics, statistics, engineering, physical and biological sciences, operations research, and computer science. Readers are assumed to have a basic knowledge of probability, linear algebra, differential equations, and introductory numerical analysis. The book can be used as a primary text for a one-semester course on sensitivity analysis and uncertainty quantification or as a supplementary text for courses on surrogate and reduced-order model construction and parameter identifiability analysis.

Systems Biology

Author : Aleš Prokop
Publisher : Springer Science & Business Media
ISBN 13 : 9400768036
Total Pages : 569 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Systems Biology by : Aleš Prokop

Download or read book Systems Biology written by Aleš Prokop and published by Springer Science & Business Media. This book was released on 2013-08-28 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: Growth in the pharmaceutical market has slowed down – almost to a standstill. One reason is that governments and other payers are cutting costs in a faltering world economy. But a more fundamental problem is the failure of major companies to discover, develop and market new drugs. Major drugs losing patent protection or being withdrawn from the market are simply not being replaced by new therapies – the pharmaceutical market model is no longer functioning effectively and most pharmaceutical companies are failing to produce the innovation needed for success. This multi-authored new book looks at a vital strategy which can bring innovation to a market in need of new ideas and new products: Systems Biology (SB). Modeling is a significant task of systems biology. SB aims to develop and use efficient algorithms, data structures, visualization and communication tools to orchestrate the integration of large quantities of biological data with the goal of computer modeling. It involves the use of computer simulations of biological systems, such as the networks of metabolites comprise signal transduction pathways and gene regulatory networks to both analyze and visualize the complex connections of these cellular processes. SB involves a series of operational protocols used for performing research, namely a cycle composed of theoretical, analytic or computational modeling to propose specific testable hypotheses about a biological system, experimental validation, and then using the newly acquired quantitative description of cells or cell processes to refine the computational model or theory.

Modelling Population Dynamics

Author : K. B. Newman
Publisher : Springer
ISBN 13 : 1493909770
Total Pages : 223 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Modelling Population Dynamics by : K. B. Newman

Download or read book Modelling Population Dynamics written by K. B. Newman and published by Springer. This book was released on 2014-07-16 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a unifying framework for estimating the abundance of open populations: populations subject to births, deaths and movement, given imperfect measurements or samples of the populations. The focus is primarily on populations of vertebrates for which dynamics are typically modelled within the framework of an annual cycle, and for which stochastic variability in the demographic processes is usually modest. Discrete-time models are developed in which animals can be assigned to discrete states such as age class, gender, maturity, population (within a metapopulation), or species (for multi-species models). The book goes well beyond estimation of abundance, allowing inference on underlying population processes such as birth or recruitment, survival and movement. This requires the formulation and fitting of population dynamics models. The resulting fitted models yield both estimates of abundance and estimates of parameters characterizing the underlying processes.

Characterizing Sources of Indoor Air Pollution and Related Sink Effects

Author : Bruce A. Tichenor
Publisher : ASTM International
ISBN 13 : 0803120303
Total Pages : 408 pages
Book Rating : 4.8/5 (31 download)

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Book Synopsis Characterizing Sources of Indoor Air Pollution and Related Sink Effects by : Bruce A. Tichenor

Download or read book Characterizing Sources of Indoor Air Pollution and Related Sink Effects written by Bruce A. Tichenor and published by ASTM International. This book was released on 1996 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on presentations at a 1994 Symposium, these detailed papers review source/sink characterization; design, construction, characterization, and operation of test chambers and facilities; testing protocols for determining emission factors and sink absorption/desorption rates; models for predicting

Capture-Recapture: Parameter Estimation for Open Animal Populations

Author : George A. F. Seber
Publisher : Springer
ISBN 13 : 3030181871
Total Pages : 663 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Capture-Recapture: Parameter Estimation for Open Animal Populations by : George A. F. Seber

Download or read book Capture-Recapture: Parameter Estimation for Open Animal Populations written by George A. F. Seber and published by Springer. This book was released on 2019-08-13 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive book, rich with applications, offers a quantitative framework for the analysis of the various capture-recapture models for open animal populations, while also addressing associated computational methods. The state of our wildlife populations provides a litmus test for the state of our environment, especially in light of global warming and the increasing pollution of our land, seas, and air. In addition to monitoring our food resources such as fisheries, we need to protect endangered species from the effects of human activities (e.g. rhinos, whales, or encroachments on the habitat of orangutans). Pests must be be controlled, whether insects or viruses, and we need to cope with growing feral populations such as opossums, rabbits, and pigs. Accordingly, we need to obtain information about a given population’s dynamics, concerning e.g. mortality, birth, growth, breeding, sex, and migration, and determine whether the respective population is increasing , static, or declining. There are many methods for obtaining population information, but the most useful (and most work-intensive) is generically known as “capture-recapture,” where we mark or tag a representative sample of individuals from the population and follow that sample over time using recaptures, resightings, or dead recoveries. Marks can be natural, such as stripes, fin profiles, and even DNA; or artificial, such as spots on insects. Attached tags can, for example, be simple bands or streamers, or more sophisticated variants such as radio and sonic transmitters. To estimate population parameters, sophisticated and complex mathematical models have been devised on the basis of recapture information and computer packages. This book addresses the analysis of such models. It is primarily intended for ecologists and wildlife managers who wish to apply the methods to the types of problems discussed above, though it will also benefit researchers and graduate students in ecology. Familiarity with basic statistical concepts is essential.

Integrated Population Models

Author : Michael Schaub
Publisher : Academic Press
ISBN 13 : 0128209151
Total Pages : 640 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Integrated Population Models by : Michael Schaub

Download or read book Integrated Population Models written by Michael Schaub and published by Academic Press. This book was released on 2021-11-12 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrated Population Models: Theory and Ecological Applications with R and JAGS is the first book on integrated population models, which constitute a powerful framework for combining multiple data sets from the population and the individual levels to estimate demographic parameters, and population size and trends. These models identify drivers of population dynamics and forecast the composition and trajectory of a population. Written by two population ecologists with expertise on integrated population modeling, this book provides a comprehensive synthesis of the relevant theory of integrated population models with an extensive overview of practical applications, using Bayesian methods by means of case studies. The book contains fully-documented, complete code for fitting all models in the free software, R and JAGS. It also includes all required code for pre- and post-model-fitting analysis. Integrated Population Models is an invaluable reference for researchers and practitioners involved in population analysis, and for graduate-level students in ecology, conservation biology, wildlife management, and related fields. The text is ideal for self-study and advanced graduate-level courses. Offers practical and accessible ecological applications of IPMs (integrated population models) Provides full documentation of analyzed code in the Bayesian framework Written and structured for an easy approach to the subject, especially for non-statisticians

Signal Treatment and Signal Analysis in NMR

Author : D.N. Rutledge
Publisher : Elsevier
ISBN 13 : 0080541208
Total Pages : 567 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Signal Treatment and Signal Analysis in NMR by : D.N. Rutledge

Download or read book Signal Treatment and Signal Analysis in NMR written by D.N. Rutledge and published by Elsevier. This book was released on 1996-06-10 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: Signal analysis and signal treatment are integral parts of all types of Nuclear Magnetic Resonance. In the last ten years, much has been achieved in the development of dimensional spectra. At the same time new NMR techniques such as NMR Imaging and multidimensional spectroscopy have appeared, requiring entirely new methods of signal analysis. Up until now, most NMR texts and reference books limited their presentation of signal processing to a short introduction to the principles of the Fourier Transform, signal convolution, apodisation and noise reduction. To understand the mathematics of the newer signal processing techniques, it was necessary to go back to the primary references in NMR, chemometrics and mathematics journals. The objective of this book is to fill this void by presenting, in a single volume, both the theory and applications of most of these new techniques to Time-Domain, Frequency-Domain and Space-Domain NMR signals. Details are provided on many of the algorithms used and a companion CD-ROM is also included which contains some of the computer programs, either as source code or in executable form. Although it is aimed primarily at NMR users in the medical, industrial and academic fields, it should also interest chemometricians and programmers working with other techniques.

Elements of Causal Inference

Author : Jonas Peters
Publisher : MIT Press
ISBN 13 : 0262037319
Total Pages : 289 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Elements of Causal Inference by : Jonas Peters

Download or read book Elements of Causal Inference written by Jonas Peters and published by MIT Press. This book was released on 2017-11-29 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise and self-contained introduction to causal inference, increasingly important in data science and machine learning. The mathematization of causality is a relatively recent development, and has become increasingly important in data science and machine learning. This book offers a self-contained and concise introduction to causal models and how to learn them from data. After explaining the need for causal models and discussing some of the principles underlying causal inference, the book teaches readers how to use causal models: how to compute intervention distributions, how to infer causal models from observational and interventional data, and how causal ideas could be exploited for classical machine learning problems. All of these topics are discussed first in terms of two variables and then in the more general multivariate case. The bivariate case turns out to be a particularly hard problem for causal learning because there are no conditional independences as used by classical methods for solving multivariate cases. The authors consider analyzing statistical asymmetries between cause and effect to be highly instructive, and they report on their decade of intensive research into this problem. The book is accessible to readers with a background in machine learning or statistics, and can be used in graduate courses or as a reference for researchers. The text includes code snippets that can be copied and pasted, exercises, and an appendix with a summary of the most important technical concepts.

Trends and Progress in System Identification

Author : Pieter Eykhoff
Publisher : Elsevier
ISBN 13 : 1483148661
Total Pages : 419 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Trends and Progress in System Identification by : Pieter Eykhoff

Download or read book Trends and Progress in System Identification written by Pieter Eykhoff and published by Elsevier. This book was released on 2014-05-20 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trends and Progress in System Identification is a three-part book that focuses on model considerations, identification methods, and experimental conditions involved in system identification. Organized into 10 chapters, this book begins with a discussion of model method in system identification, citing four examples differing on the nature of the models involved, the nature of the fields, and their goals. Subsequent chapters describe the most important aspects of model theory; the ""classical"" methods and time series estimation; application of least squares and related techniques for the estimation of dynamic system parameters; the maximum likelihood and error prediction methods; and the modern development of statistical methods. Non-parametric approaches, identification of nonlinear systems by piecewise approximation, and the minimax identification are then explained. Other chapters explore the Bayesian approach to system identification; choice of input signals; and choice and effect of different feedback configurations in system identification. This book will be useful for control engineers, system scientists, biologists, and members of other disciplines dealing withdynamical relations.

Knowledge Discovery and Emergent Complexity in Bioinformatics

Author : Karl Tuyls
Publisher : Springer Science & Business Media
ISBN 13 : 3540710361
Total Pages : 190 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Knowledge Discovery and Emergent Complexity in Bioinformatics by : Karl Tuyls

Download or read book Knowledge Discovery and Emergent Complexity in Bioinformatics written by Karl Tuyls and published by Springer Science & Business Media. This book was released on 2007-02-09 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the First International Workshop on Knowledge Discovery and Emergent Complexity in Bioinformatics, KDECB 2006, held in Ghent, Belgium, in May 2006, in connection with the 15th Belgium-Netherlands Conference on Machine Learning. The 12 revised full papers cover various topics in the areas of knowledge discovery and emergent complexity research in bioinformatics.

Time Series Analysis

Author : Jonathan D. Cryer
Publisher : Springer Science & Business Media
ISBN 13 : 038775959X
Total Pages : 501 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Time Series Analysis by : Jonathan D. Cryer

Download or read book Time Series Analysis written by Jonathan D. Cryer and published by Springer Science & Business Media. This book was released on 2008-03-06 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been developed for a one-semester course usually attended by students in statistics, economics, business, engineering, and quantitative social sciences. A unique feature of this edition is its integration with the R computing environment. Basic applied statistics is assumed through multiple regression. Calculus is assumed only to the extent of minimizing sums of squares but a calculus-based introduction to statistics is necessary for a thorough understanding of some of the theory. Actual time series data drawn from various disciplines are used throughout the book to illustrate the methodology.

Springer Handbook of Robotics

Author : Bruno Siciliano
Publisher : Springer
ISBN 13 : 3319325523
Total Pages : 2259 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Springer Handbook of Robotics by : Bruno Siciliano

Download or read book Springer Handbook of Robotics written by Bruno Siciliano and published by Springer. This book was released on 2016-07-27 with total page 2259 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this handbook provides a state-of-the-art overview on the various aspects in the rapidly developing field of robotics. Reaching for the human frontier, robotics is vigorously engaged in the growing challenges of new emerging domains. Interacting, exploring, and working with humans, the new generation of robots will increasingly touch people and their lives. The credible prospect of practical robots among humans is the result of the scientific endeavour of a half a century of robotic developments that established robotics as a modern scientific discipline. The ongoing vibrant expansion and strong growth of the field during the last decade has fueled this second edition of the Springer Handbook of Robotics. The first edition of the handbook soon became a landmark in robotics publishing and won the American Association of Publishers PROSE Award for Excellence in Physical Sciences & Mathematics as well as the organization’s Award for Engineering & Technology. The second edition of the handbook, edited by two internationally renowned scientists with the support of an outstanding team of seven part editors and more than 200 authors, continues to be an authoritative reference for robotics researchers, newcomers to the field, and scholars from related disciplines. The contents have been restructured to achieve four main objectives: the enlargement of foundational topics for robotics, the enlightenment of design of various types of robotic systems, the extension of the treatment on robots moving in the environment, and the enrichment of advanced robotics applications. Further to an extensive update, fifteen new chapters have been introduced on emerging topics, and a new generation of authors have joined the handbook’s team. A novel addition to the second edition is a comprehensive collection of multimedia references to more than 700 videos, which bring valuable insight into the contents. The videos can be viewed directly augmented into the text with a smartphone or tablet using a unique and specially designed app. Springer Handbook of Robotics Multimedia Extension Portal: http://handbookofrobotics.org/

Introduction to Modeling in Physiology and Medicine

Author : Claudio Cobelli
Publisher : Elsevier
ISBN 13 : 0080559980
Total Pages : 337 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Introduction to Modeling in Physiology and Medicine by : Claudio Cobelli

Download or read book Introduction to Modeling in Physiology and Medicine written by Claudio Cobelli and published by Elsevier. This book was released on 2008-02-06 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unified modeling textbook for students of biomedical engineering provides a complete course text on the foundations, theory and practice of modeling and simulation in physiology and medicine. It is dedicated to the needs of biomedical engineering and clinical students, supported by applied BME applications and examples. Developed for biomedical engineering and related courses: speaks to BME students at a level and in a language appropriate to their needs, with an interdisciplinary clinical/engineering approach, quantitative basis, and many applied examples to enhance learning Delivers a quantitative approach to modeling and also covers simulation: the perfect foundation text for studies across BME and medicine Extensive case studies and engineering applications from BME, plus end-of-chapter exercises