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Author : Morris L. Eaton
Publisher : IMS
Page : 148 pages
File Size : 50,9 Mb
Release : 1989
Category : Group theory
ISBN : 0940600153
Author : Robert A. Wijsman
Publisher : IMS
Page : 264 pages
File Size : 40,9 Mb
Release : 1990
Category : Mathematics
ISBN : 0940600196
Author : Giri Narayan C
Publisher : World Scientific
Page : 180 pages
File Size : 41,5 Mb
Release : 1996-10-22
Category : Mathematics
ISBN : 9789814501644
In applied and pure sciences, the structural properties of groups are increasingly utilised to find better solutions in statistical sciences. Modern computers make statistical methods with large numbers of variables feasible. Invariance is a mathematical term for symmetry, and many statistical problems exhibit such properties. In statistical analysis with large numbers of variables, the invariance approach is becoming increasingly popular and useful because of its ability and usefulness in deriving better statistical procedures.In this book, Multivariate Statistical Inference is presented through Invariance.
Author : Paul L. Meyer,Stanford University. Department of Statistics
Publisher : Unknown
Page : 80 pages
File Size : 45,7 Mb
Release : 1954
Category : Invariants
ISBN : STANFORD:36105025529095
Author : James D. Malley
Publisher : Springer Science & Business Media
Page : 110 pages
File Size : 43,5 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 : Robert A. Wijsman
Publisher : Unknown
Page : 238 pages
File Size : 45,8 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 : Gregory S. Chirikjian
Publisher : Springer Science & Business Media
Page : 461 pages
File Size : 51,8 Mb
Release : 2011-11-16
Category : Mathematics
ISBN : 9780817649449
This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises, motivating examples, and real-world applications make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.
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 : 47,6 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 : Narayan C. Giri
Publisher : CRC Press
Page : 550 pages
File Size : 49,9 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.
Author : Elizabeth S. Meckes
Publisher : Cambridge University Press
Page : 225 pages
File Size : 54,5 Mb
Release : 2019-08
Category : Mathematics
ISBN : 9781108419529
Provides a comprehensive introduction to the theory of random orthogonal, unitary, and symplectic matrices.
Author : Yasuko Chikuse
Publisher : Springer Science & Business Media
Page : 425 pages
File Size : 51,6 Mb
Release : 2012-11-12
Category : Mathematics
ISBN : 9780387215402
Covering statistical analysis on the two special manifolds, the Stiefel manifold and the Grassmann manifold, this book is designed as a reference for both theoretical and applied statisticians. It will also be used as a textbook for a graduate course in multivariate analysis. It is assumed that the reader is familiar with the usual theory of univariate statistics and a thorough background in mathematics, in particular, knowledge of multivariate calculation techniques.
Author : Anonim
Publisher : IMS
Page : 252 pages
File Size : 52,7 Mb
Release : 2006
Category : Nonparametric statistics
ISBN : 0940600668
Author : Werner Schindler
Publisher : Springer Science & Business Media
Page : 184 pages
File Size : 45,9 Mb
Release : 2003-02-12
Category : Mathematics
ISBN : 3540002359
Symmetries and invariance principles play an important role in various branches of mathematics. This book deals with measures having weak symmetry properties. Even mild conditions ensure that all invariant Borel measures on a second countable locally compact space can be expressed as images of specific product measures under a fixed mapping. The results derived in this book are interesting for their own and, moreover, a number of carefully investigated examples underline and illustrate their usefulness and applicability for integration problems, stochastic simulations and statistical applications.
Author : Elizabeth Alison Thompson
Publisher : IMS
Page : 194 pages
File Size : 44,8 Mb
Release : 2000
Category : Reference
ISBN : 0940600498
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.
Author : Persi Diaconis
Publisher : Ims
Page : 212 pages
File Size : 46,8 Mb
Release : 1988
Category : Mathematics
ISBN : UOM:39015064920898
