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Author : Robert A. Wijsman
Publisher : IMS
Page : 264 pages
File Size : 46,9 Mb
Release : 1990
Category : Mathematics
ISBN : 0940600196
Author : Robert A. Wijsman
Publisher : Unknown
Page : 238 pages
File Size : 48,8 Mb
Release : 2008*
Category : Distribution (Probability theory)
ISBN : OCLC:279523153
This e-book is the product of Project Euclid and its mission to advance scholarly communication in the field of theoretical and applied mathematics and statistics. Project Euclid was developed and deployed by the Cornell University Library and is jointly managed by Cornell and the Duke University Press.
Author : Morris L. Eaton
Publisher : IMS
Page : 148 pages
File Size : 43,7 Mb
Release : 1989
Category : Group theory
ISBN : 0940600153
Author : Marlos A. G. Viana,Ams Special Session on Algebraic Methods in Statistics,Donald St. P. Richards
Publisher : American Mathematical Soc.
Page : 354 pages
File Size : 51,8 Mb
Release : 2001
Category : Algebra
ISBN : 9780821826874
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.
Author : Inge S. Helland
Publisher : Springer Nature
Page : 251 pages
File Size : 51,5 Mb
Release : 2021-10-15
Category : Mathematics
ISBN : 9783030819231
This book discusses a link between statistical theory and quantum theory based on the concept of epistemic processes. The latter are processes, such as statistical investigations or quantum mechanical measurements, that can be used to obtain knowledge about something. Various topics in quantum theory are addressed, including the construction of a Hilbert space from reasonable assumptions and an interpretation of quantum states. Separate derivations of the Born formula and the one-dimensional Schrödinger equation are given. In concrete terms, a Hilbert space can be constructed under some technical assumptions associated with situations where there are two conceptual variables that can be seen as maximally accessible. Then to every accessible conceptual variable there corresponds an operator on this Hilbert space, and if the variables take a finite number of values, the eigenspaces/eigenvectors of these operators correspond to specific questions in nature together with sharp answers to these questions. This paves a new way to the foundations of quantum theory. The resulting interpretation of quantum mechanics is related to Hervé Zwirn's recent Convivial Solipsism, but it also has some relations to Quantum Bayesianism and to Rovelli's relational quantum mechanics. Niels Bohr's concept of complementarity plays an important role. Philosophical implications of this approach to quantum theory are discussed, including consequences for macroscopic settings. The book will benefit a broad readership, including physicists and statisticians interested in the foundations of their disciplines, philosophers of science and graduate students, and anyone with a reasonably good background in mathematics and an open mind.
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
Page : 564 pages
File Size : 49,6 Mb
Release : 2007-11-23
Category : Mathematics
ISBN : 9780306483738
This is the third supplementary volume to Kluwer's highly acclaimed twelve-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.
Author : E.L. Lehmann,Joseph P. Romano
Publisher : Springer Nature
Page : 1016 pages
File Size : 40,5 Mb
Release : 2022-06-22
Category : Mathematics
ISBN : 9783030705787
The third edition of Testing Statistical Hypotheses updates and expands upon the classic graduate text, emphasizing optimality theory for hypothesis testing and confidence sets. The principal additions include a rigorous treatment of large sample optimality, together with the requisite tools. In addition, an introduction to the theory of resampling methods such as the bootstrap is developed. The sections on multiple testing and goodness of fit testing are expanded. The text is suitable for Ph.D. students in statistics and includes over 300 new problems out of a total of more than 760.
Author : Erich L. Lehmann,Joseph P. Romano
Publisher : Springer Science & Business Media
Page : 795 pages
File Size : 53,7 Mb
Release : 2006-03-30
Category : Mathematics
ISBN : 9780387276052
The third edition of Testing Statistical Hypotheses updates and expands upon the classic graduate text, emphasizing optimality theory for hypothesis testing and confidence sets. The principal additions include a rigorous treatment of large sample optimality, together with the requisite tools. In addition, an introduction to the theory of resampling methods such as the bootstrap is developed. The sections on multiple testing and goodness of fit testing are expanded. The text is suitable for Ph.D. students in statistics and includes over 300 new problems out of a total of more than 760.
Author : Shelemyahu Zacks
Publisher : John Wiley & Sons
Page : 499 pages
File Size : 53,8 Mb
Release : 2013-12-17
Category : Mathematics
ISBN : 9781118605837
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.
Author : Parhasarathi Lahiri
Publisher : IMS
Page : 262 pages
File Size : 54,6 Mb
Release : 2001
Category : Mathematics
ISBN : 0940600528
Author : Ishwar V. Basawa
Publisher : IMS
Page : 370 pages
File Size : 46,7 Mb
Release : 2001
Category : Mathematics
ISBN : 094060051X
Author : James D. Malley
Publisher : Springer Science & Business Media
Page : 110 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461226789
This monograph brings together my work in mathematical statistics as I have viewed it through the lens of Jordan algebras. Three technical domains are to be seen: applications to random quadratic forms (sums of squares), the investigation of algebraic simplifications of maxi mum likelihood estimation of patterned covariance matrices, and a more wide open mathematical exploration of the algebraic arena from which I have drawn the results used in the statistical problems just mentioned. Chapters 1, 2, and 4 present the statistical outcomes I have developed using the algebraic results that appear, for the most part, in Chapter 3. As a less daunting, yet quite efficient, point of entry into this material, one avoiding most of the abstract algebraic issues, the reader may use the first half of Chapter 4. Here I present a streamlined, but still fully rigorous, definition of a Jordan algebra (as it is used in that chapter) and its essential properties. These facts are then immediately applied to simplifying the M:-step of the EM algorithm for multivariate normal covariance matrix estimation, in the presence of linear constraints, and data missing completely at random. The results presented essentially resolve a practical statistical quest begun by Rubin and Szatrowski [1982], and continued, sometimes implicitly, by many others. After this, one could then return to Chapters 1 and 2 to see how I have attempted to generalize the work of Cochran, Rao, Mitra, and others, on important and useful properties of sums of squares.
Author : Vladimir I. Bogachev
Publisher : Springer Science & Business Media
Page : 1075 pages
File Size : 51,8 Mb
Release : 2007-01-15
Category : Mathematics
ISBN : 9783540345145
This book giving an exposition of the foundations of modern measure theory offers three levels of presentation: a standard university graduate course, an advanced study containing some complements to the basic course, and, finally, more specialized topics partly covered by more than 850 exercises with detailed hints and references. Bibliographical comments and an extensive bibliography with 2000 works covering more than a century are provided.
Author : Christian Robert
Publisher : Springer Science & Business Media
Page : 621 pages
File Size : 49,9 Mb
Release : 2007-05-19
Category : Mathematics
ISBN : 9780387715995
This is an introduction to Bayesian statistics and decision theory, including advanced topics such as Monte Carlo methods. This new edition contains several revised chapters and a new chapter on model choice.
Author : Narayan C. Giri
Publisher : CRC Press
Page : 550 pages
File Size : 49,6 Mb
Release : 2003-11-14
Category : Mathematics
ISBN : 9781482276374
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 alternatives, and correlations in symmetrical distributions. Its discussions and examples draw on a wide range of multivariate data, from biometry, agriculture, biomedical science, economics, to filtering and stochastic control, stock market data analysis, and random signal processing.
