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Frontiers In Analysis And Probability
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Book Synopsis Frontiers in Analysis and Probability by : Nalini Anantharaman
Download or read book Frontiers in Analysis and Probability written by Nalini Anantharaman and published by Springer Nature. This book was released on 2020-11-21 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume presents extensive research devoted to a broad spectrum of mathematical analysis and probability theory. Subjects discussed in this Work are those treated in the so-called Strasbourg–Zürich Meetings. These meetings occur twice yearly in each of the cities, Strasbourg and Zürich, venues of vibrant mathematical communication and worldwide gatherings. The topical scope of the book includes the study of monochromatic random waves defined for general Riemannian manifolds, notions of entropy related to a compact manifold of negative curvature, interacting electrons in a random background, lp-cohomology (in degree one) of a graph and its connections with other topics, limit operators for circular ensembles, polyharmonic functions for finite graphs and Markov chains, the ETH-Approach to Quantum Mechanics, 2-dimensional quantum Yang–Mills theory, Gibbs measures of nonlinear Schrödinger equations, interfaces in spectral asymptotics and nodal sets. Contributions in this Work are composed by experts from the international community, who have presented the state-of-the-art research in the corresponding problems treated. This volume is expected to be a valuable resource to both graduate students and research mathematicians working in analysis, probability as well as their interconnections and applications.
Book Synopsis Statistical Analysis of Next Generation Sequencing Data by : Somnath Datta
Download or read book Statistical Analysis of Next Generation Sequencing Data written by Somnath Datta and published by Springer. This book was released on 2014-07-03 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Next Generation Sequencing (NGS) is the latest high throughput technology to revolutionize genomic research. NGS generates massive genomic datasets that play a key role in the big data phenomenon that surrounds us today. To extract signals from high-dimensional NGS data and make valid statistical inferences and predictions, novel data analytic and statistical techniques are needed. This book contains 20 chapters written by prominent statisticians working with NGS data. The topics range from basic preprocessing and analysis with NGS data to more complex genomic applications such as copy number variation and isoform expression detection. Research statisticians who want to learn about this growing and exciting area will find this book useful. In addition, many chapters from this book could be included in graduate-level classes in statistical bioinformatics for training future biostatisticians who will be expected to deal with genomic data in basic biomedical research, genomic clinical trials and personalized medicine. About the editors: Somnath Datta is Professor and Vice Chair of Bioinformatics and Biostatistics at the University of Louisville. He is Fellow of the American Statistical Association, Fellow of the Institute of Mathematical Statistics and Elected Member of the International Statistical Institute. He has contributed to numerous research areas in Statistics, Biostatistics and Bioinformatics. Dan Nettleton is Professor and Laurence H. Baker Endowed Chair of Biological Statistics in the Department of Statistics at Iowa State University. He is Fellow of the American Statistical Association and has published research on a variety of topics in statistics, biology and bioinformatics.
Book Synopsis Frontiers of Statistical Decision Making and Bayesian Analysis by : Ming-Hui Chen
Download or read book Frontiers of Statistical Decision Making and Bayesian Analysis written by Ming-Hui Chen and published by Springer Science & Business Media. This book was released on 2010-07-24 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research in Bayesian analysis and statistical decision theory is rapidly expanding and diversifying, making it increasingly more difficult for any single researcher to stay up to date on all current research frontiers. This book provides a review of current research challenges and opportunities. While the book can not exhaustively cover all current research areas, it does include some exemplary discussion of most research frontiers. Topics include objective Bayesian inference, shrinkage estimation and other decision based estimation, model selection and testing, nonparametric Bayes, the interface of Bayesian and frequentist inference, data mining and machine learning, methods for categorical and spatio-temporal data analysis and posterior simulation methods. Several major application areas are covered: computer models, Bayesian clinical trial design, epidemiology, phylogenetics, bioinformatics, climate modeling and applications in political science, finance and marketing. As a review of current research in Bayesian analysis the book presents a balance between theory and applications. The lack of a clear demarcation between theoretical and applied research is a reflection of the highly interdisciplinary and often applied nature of research in Bayesian statistics. The book is intended as an update for researchers in Bayesian statistics, including non-statisticians who make use of Bayesian inference to address substantive research questions in other fields. It would also be useful for graduate students and research scholars in statistics or biostatistics who wish to acquaint themselves with current research frontiers.
Book Synopsis Probability in Physics by : Yemima Ben-Menahem
Download or read book Probability in Physics written by Yemima Ben-Menahem and published by Springer Science & Business Media. This book was released on 2012-01-25 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is the role and meaning of probability in physical theory, in particular in two of the most successful theories of our age, quantum physics and statistical mechanics? Laws once conceived as universal and deterministic, such as Newton‘s laws of motion, or the second law of thermodynamics, are replaced in these theories by inherently probabilistic laws. This collection of essays by some of the world‘s foremost experts presents an in-depth analysis of the meaning of probability in contemporary physics. Among the questions addressed are: How are probabilities defined? Are they objective or subjective? What is their explanatory value? What are the differences between quantum and classical probabilities? The result is an informative and thought-provoking book for the scientifically inquisitive.
Book Synopsis Frontiers in Stochastic Analysis–BSDEs, SPDEs and their Applications by : Samuel N. Cohen
Download or read book Frontiers in Stochastic Analysis–BSDEs, SPDEs and their Applications written by Samuel N. Cohen and published by Springer Nature. This book was released on 2019-08-31 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of selected, revised and extended contributions resulted from a Workshop on BSDEs, SPDEs and their Applications that took place in Edinburgh, Scotland, July 2017 and included the 8th World Symposium on BSDEs. The volume addresses recent advances involving backward stochastic differential equations (BSDEs) and stochastic partial differential equations (SPDEs). These equations are of fundamental importance in modelling of biological, physical and economic systems, and underpin many problems in control of random systems, mathematical finance, stochastic filtering and data assimilation. The papers in this volume seek to understand these equations, and to use them to build our understanding in other areas of mathematics. This volume will be of interest to those working at the forefront of modern probability theory, both established researchers and graduate students.
Book Synopsis Frontiers in Probability and Statistics by : Sujit K. Basu
Download or read book Frontiers in Probability and Statistics written by Sujit K. Basu and published by . This book was released on 1998 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work looks at statistics and probablity, focusing on such topics as the use of linear statistical models, Bayesian analysis of variability and the uses of hierachical models
Book Synopsis Frontiers in Statistics by : Jianqing Fan
Download or read book Frontiers in Statistics written by Jianqing Fan and published by World Scientific. This book was released on 2006-07-17 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last two decades, many areas of statistical inference have experienced phenomenal growth. This book presents a timely analysis and overview of some of these new developments and a contemporary outlook on the various frontiers of statistics. Eminent leaders in the field have contributed 16 review articles and 6 research articles covering areas including semi-parametric models, data analytical nonparametric methods, statistical learning, network tomography, longitudinal data analysis, financial econometrics, time series, bootstrap and other re-sampling methodologies, statistical computing, generalized nonlinear regression and mixed effects models, martingale transform tests for model diagnostics, robust multivariate analysis, single index models and wavelets. This volume is dedicated to Prof. Peter J Bickel in honor of his 65th birthday. The first article of this volume summarizes some of Prof. Bickel's distinguished contributions. Contents:Our Steps on the Bickel Way (K Doksum & Y Ritov)Semiparametric Models: A Review of Progress since BKRW (1993) (J A Wellner et al.)Efficient Estimator for Time Series (A Schick & W Wefelmeyer)On the Efficiency of Estimation for a Single-Index Model (Y Xia & H Tong)Estimating Function Based Cross-Validation (M J Van der Laan & D Rubin)Powerful Choices: Tuning Parameter Selection Based on Power (K Doksum & C Schafer)Nonparametric Assessment of Atypicality (P Hall & J W Kay)Selective Review on Wavelets in Statistics (Y Wang)Model Diagnostics via Martingale Transforms: A Brief Review (H L Koul)Boosting Algorithms: With an Application to Bootstrapping Multivariate Time Series (P Bühlmann & R W Lutz)Bootstrap Methods: A Review (S N Lahiri)An Expansion for a Discrete Non-Lattice Distribution (F Götze & W R van Zwet)An Overview on Nonparametric and Semiparametric Techniques for Longitudinal Data (J Fan & R Li)Regressing Longitudinal Response Trajectories on a Covariate (H-G Müller & F Yao)Statistical Physics and Statistical Computing: A Critical Link (J D Servidea & X-L Meng)Network Tomography: A Review and Recent Developments (E Lawrence et al.)Likelihood Inference for Diffusions: A Survey (Y Aït-Sahalia)Nonparametric Estimation of Production Efficiency (B U Park et al.)Convergence and Consistency of Newton's Algorithm for Estimating Mixing Distribution (J K Ghosh & S T Tokdar)Mixed Models: An Overview (J Jiang & Z Ge)Robust Location and Scatter Estimators in Multivariate Analysis (Y Zuo)Estimation of the Loss of an Estimate (W H Wong) Readership: Advanced graduate students and researchers in statistics. Keywords:Semiparametrics;Financial Econometrics;Longitudinal Data;Efficient Estimation;Single Index;Atypicality;Martingale Transforms;Boosting;Non-Lattice Distributions;Longitudinal Data;Network Tomography;Mixed ModelsKey Features:Gathers contributions from renowned researchers such as Kjell Doksum and Peter HallA must-have volume for researchers in statistics
Book Synopsis Artificial Intelligence Frontiers in Statistics by : David J. Hand
Download or read book Artificial Intelligence Frontiers in Statistics written by David J. Hand and published by CRC Press. This book was released on 2020-11-26 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a summary of recent work on the interface between artificial intelligence and statistics. It does this through a series of papers by different authors working in different areas of this interface. These papers are a selected and referenced subset of papers presented at the 3rd Interntional Workshop on Artificial Intelligence and Statistics, Florida, January 1991.
Book Synopsis Statistical Methods for Ranking Data by : Mayer Alvo
Download or read book Statistical Methods for Ranking Data written by Mayer Alvo and published by Springer. This book was released on 2014-09-02 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces advanced undergraduate, graduate students and practitioners to statistical methods for ranking data. An important aspect of nonparametric statistics is oriented towards the use of ranking data. Rank correlation is defined through the notion of distance functions and the notion of compatibility is introduced to deal with incomplete data. Ranking data are also modeled using a variety of modern tools such as CART, MCMC, EM algorithm and factor analysis. This book deals with statistical methods used for analyzing such data and provides a novel and unifying approach for hypotheses testing. The techniques described in the book are illustrated with examples and the statistical software is provided on the authors’ website.
Book Synopsis Frontiers in Mathematical Analysis and Numerical Methods by : Jacques-Louis Lions
Download or read book Frontiers in Mathematical Analysis and Numerical Methods written by Jacques-Louis Lions and published by World Scientific. This book was released on 2004 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable volume is a collection of articles in memory ofJacques-Louis Lions, a leading mathematician and the founder of theContemporary French Applied Mathematics School. The contributions havebeen written by his friends, colleagues and students, including CBardos, A Bensoussan, S S Chern, P G Ciarlet, R Glowinski, Gu Chaohao, B Malgrange, G Marchuk, O Pironneau, W Strauss, R Temam, etc
Book Synopsis Topics at the Frontier of Statistics and Network Analysis by : Eric D. Kolaczyk
Download or read book Topics at the Frontier of Statistics and Network Analysis written by Eric D. Kolaczyk and published by Cambridge University Press. This book was released on 2017-08-10 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This snapshot of the current frontier of statistics and network analysis focuses on the foundational topics of modeling, sampling, and design. Primarily for graduate students and researchers in statistics and closely related fields, emphasis is not only on what has been done, but on what remains to be done.
Book Synopsis Multivariate Statistical Methods by : György Terdik
Download or read book Multivariate Statistical Methods written by György Terdik and published by Springer Nature. This book was released on 2021-10-26 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a general method for deriving higher-order statistics of multivariate distributions with simple algorithms that allow for actual calculations. Multivariate nonlinear statistical models require the study of higher-order moments and cumulants. The main tool used for the definitions is the tensor derivative, leading to several useful expressions concerning Hermite polynomials, moments, cumulants, skewness, and kurtosis. A general test of multivariate skewness and kurtosis is obtained from this treatment. Exercises are provided for each chapter to help the readers understand the methods. Lastly, the book includes a comprehensive list of references, equipping readers to explore further on their own.
Book Synopsis Frontiers in Stochastic Analysis-BSDEs, SPDEs and Their Applications by : Samuel N. Cohen
Download or read book Frontiers in Stochastic Analysis-BSDEs, SPDEs and Their Applications written by Samuel N. Cohen and published by . This book was released on 2019 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of selected, revised and extended contributions resulted from a Workshop on BSDEs, SPDEs and their Applications that took place in Edinburgh, Scotland, July 2017 and included the 8th World Symposium on BSDEs. The volume addresses recent advances involving backward stochastic differential equations (BSDEs) and stochastic partial differential equations (SPDEs). These equations are of fundamental importance in modelling of biological, physical and economic systems, and underpin many problems in control of random systems, mathematical finance, stochastic filtering and data assimilation. The papers in this volume seek to understand these equations, and to use them to build our understanding in other areas of mathematics. This volume will be of interest to those working at the forefront of modern probability theory, both established researchers and graduate students.
Book Synopsis Mathematical Frontiers Of The Social And Policy Sciences by : Loren Cobb
Download or read book Mathematical Frontiers Of The Social And Policy Sciences written by Loren Cobb and published by Routledge. This book was released on 2019-03-13 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses both on the application of recent developments in mathematics to the formulation of nontrivial theory in the social sciences and on the expansion of the mathematical basis of decision theory to increase that theory's usefulness for policy research.
Book Synopsis Frontiers in Statistical Quality Control 13 by : Sven Knoth
Download or read book Frontiers in Statistical Quality Control 13 written by Sven Knoth and published by Springer Nature. This book was released on 2021-05-15 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed book focuses on major aspects of statistical quality control, shares insights into important new developments in the field, and adapts established statistical quality control methods for use in e.g. big data, network analysis and medical applications. The content is divided into two parts, the first of which mainly addresses statistical process control, also known as statistical process monitoring. In turn, the second part explores selected topics in statistical quality control, including measurement uncertainty analysis and data quality. The peer-reviewed contributions gathered here were originally presented at the 13th International Workshop on Intelligent Statistical Quality Control, ISQC 2019, held in Hong Kong on August 12-14, 2019. Taken together, they bridge the gap between theory and practice, making the book of interest to both practitioners and researchers in the field of statistical quality control.
Book Synopsis Frontiers in Statistical Quality Control 9 by : Hans-Joachim Lenz
Download or read book Frontiers in Statistical Quality Control 9 written by Hans-Joachim Lenz and published by Springer Science & Business Media. This book was released on 2010-03-10 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twenty-three papers in this volume are carefully selected, reviewed and revised for this volume, and are divided into two parts: Part 1: "On-line Control" with subchapters 1.1 "Control Charts" and 1.2 "Surveillance Sampling and Sampling Plans" and Part 2:"Off-line Control".
Book Synopsis Probability and Statistical Theory for Applied Researchers by : T W Epps
Download or read book Probability and Statistical Theory for Applied Researchers written by T W Epps and published by World Scientific Publishing Company. This book was released on 2013-08-16 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the theory of probability and mathematical statistics at a level suitable for researchers at the frontiers of applied disciplines. Examples and exercises make essential concepts in measure theory and analysis accessible to those with preparation limited to vector calculus. Complete, detailed solutions to all the exercises demonstrate techniques of problem solving and provide immediate feedback. Part I, The Theory of Probability, starts with elementary set theory and proceeds through basic measure and probability, random variables, integration and mathematical expectation. It concludes with an extensive survey of models for distributions of random variables. Part II, The Theory of Statistics, begins with sampling theory and distribution theory for statistics from normal populations, proceeds to asymptotic (large-sample) theory, and on to point and interval estimation and tests of parametric hypotheses. The last three chapters cover tests of nonparametric hypotheses, Bayesian methods, and linear and nonlinear regression. Researchers and graduate students in applied fields such as actuarial science, biostatistics, economics, finance, mathematical psychology, and systems engineering will find this book to be a valuable learning tool and an essential reference. Sample Chapter(s) Chapter 1: Probability on Abstract Sets (476 KB) Chapter 5: Sampling Distributions (405 KB) Request Inspection Copy
