Group Invariance Applications in Statistics

Group Invariance Applications in Statistics PDF Author: Morris L. Eaton
Publisher: IMS
ISBN: 9780940600157
Category : Group theory
Languages : en
Pages : 148

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Group Invariance Applications in Statistics

Group Invariance Applications in Statistics PDF Author: Morris L. Eaton
Publisher: IMS
ISBN: 9780940600157
Category : Group theory
Languages : en
Pages : 148

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Book Description


Invariant Measures on Groups and Their Use in Statistics

Invariant Measures on Groups and Their Use in Statistics PDF Author: Robert A. Wijsman
Publisher: IMS
ISBN: 9780940600195
Category : Mathematics
Languages : en
Pages : 264

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Examples and Problems in Mathematical Statistics

Examples and Problems in Mathematical Statistics PDF Author: Shelemyahu Zacks
Publisher: John Wiley & Sons
ISBN: 1118605837
Category : Mathematics
Languages : en
Pages : 499

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Book Description
Provides the necessary skills to solve problems in mathematical statistics through theory, concrete examples, and exercises With a clear and detailed approach to the fundamentals of statistical theory, Examples and Problems in Mathematical Statistics uniquely bridges the gap between theory andapplication and presents numerous problem-solving examples that illustrate the relatednotations and proven results. Written by an established authority in probability and mathematical statistics, each chapter begins with a theoretical presentation to introduce both the topic and the important results in an effort to aid in overall comprehension. Examples are then provided, followed by problems, and finally, solutions to some of the earlier problems. In addition, Examples and Problems in Mathematical Statistics features: Over 160 practical and interesting real-world examples from a variety of fields including engineering, mathematics, and statistics to help readers become proficient in theoretical problem solving More than 430 unique exercises with select solutions Key statistical inference topics, such as probability theory, statistical distributions, sufficient statistics, information in samples, testing statistical hypotheses, statistical estimation, confidence and tolerance intervals, large sample theory, and Bayesian analysis Recommended for graduate-level courses in probability and statistical inference, Examples and Problems in Mathematical Statistics is also an ideal reference for applied statisticians and researchers.

Markov Bases in Algebraic Statistics

Markov Bases in Algebraic Statistics PDF Author: Satoshi Aoki
Publisher: Springer Science & Business Media
ISBN: 1461437199
Category : Mathematics
Languages : en
Pages : 294

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Book Description
Algebraic statistics is a rapidly developing field, where ideas from statistics and algebra meet and stimulate new research directions. One of the origins of algebraic statistics is the work by Diaconis and Sturmfels in 1998 on the use of Gröbner bases for constructing a connected Markov chain for performing conditional tests of a discrete exponential family. In this book we take up this topic and present a detailed summary of developments following the seminal work of Diaconis and Sturmfels. This book is intended for statisticians with minimal backgrounds in algebra. As we ourselves learned algebraic notions through working on statistical problems and collaborating with notable algebraists, we hope that this book with many practical statistical problems is useful for statisticians to start working on the field.

Statistics

Statistics PDF Author: Karim M. Abadir
Publisher: Cambridge University Press
ISBN: 0521822882
Category : Business & Economics
Languages : en
Pages : 793

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Book Description
Serves as a bridge between elementary and specialized statistics, with exercises that are fully solved and systematically built up.

Multivariate Statistical Analysis

Multivariate Statistical Analysis PDF Author: Narayan C. Giri
Publisher: CRC Press
ISBN: 1482276372
Category : Mathematics
Languages : en
Pages : 583

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Book Description
Significantly revised and expanded, Multivariate Statistical Analysis, Second Edition addresses several added topics related to the properties and characterization of symmetric distributions, elliptically symmetric multivariate distributions, singular symmetric distributions, estimation of covariance matrices, tests of mean against one-sided altern

Frontiers of Statistical Decision Making and Bayesian Analysis

Frontiers of Statistical Decision Making and Bayesian Analysis PDF Author: Ming-Hui Chen
Publisher: Springer Science & Business Media
ISBN: 1441969446
Category : Mathematics
Languages : en
Pages : 631

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Book Description
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.

Algebraic Methods in Statistics and Probability

Algebraic Methods in Statistics and Probability PDF Author: Marlos A. G. Viana
Publisher: American Mathematical Soc.
ISBN: 0821826875
Category : Mathematics
Languages : en
Pages : 354

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Book Description
The 23 papers report recent developments in using the technique to help clarify the relationship between phenomena and data in a number of natural and social sciences. Among the topics are a coordinate-free approach to multivariate exponential families, some rank-based hypothesis tests for covariance structure and conditional independence, deconvolution density estimation on compact Lie groups, random walks on regular languages and algebraic systems of generating functions, and the extendibility of statistical models. There is no index. c. Book News Inc.

Generalized Least Squares

Generalized Least Squares PDF Author: Takeaki Kariya
Publisher: John Wiley & Sons
ISBN: 0470866985
Category : Mathematics
Languages : en
Pages : 312

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Book Description
Generalised Least Squares adopts a concise and mathematically rigorous approach. It will provide an up-to-date self-contained introduction to the unified theory of generalized least squares estimations, adopting a concise and mathematically rigorous approach. The book covers in depth the 'lower and upper bounds approach', pioneered by the first author, which is widely regarded as a very powerful and useful tool for generalized least squares estimation, helping the reader develop their understanding of the theory. The book also contains exercises at the end of each chapter and applications to statistics, econometrics, and biometrics, enabling use for self-study or as a course text.

Statistical Inference from Genetic Data on Pedigrees

Statistical Inference from Genetic Data on Pedigrees PDF Author: Elizabeth Alison Thompson
Publisher: IMS
ISBN: 9780940600492
Category : Reference
Languages : en
Pages : 194

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Book Description
Annotation While this monograph is not about show dogs or cats, its statistical methods could be applied to tracing the pedigree of these species as well as humans. Thompson (U. of Washington) covers such topics as genetic models, population allele frequencies, kinship/inbreeding coefficients, and Monte Carlo estimation. Includes supporting tables and figures. Suitable as a supplementary text or primary text for advanced students. Lacks an index. c. Book News Inc.