Multivariate Statistical Inference
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Multivariate Statistical Inference
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Author : Narayan C. Giri
language : en
Publisher: Academic Press
Release Date : 2014-07-10
Multivariate Statistical Inference written by Narayan C. Giri and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-10 with Mathematics categories.
Multivariate Statistical Inference is a 10-chapter text that covers the theoretical and applied aspects of multivariate analysis, specifically the multivariate normal distribution using the invariance approach. Chapter I contains some special results regarding characteristic roots and vectors, and partitioned submatrices of real and complex matrices, as well as some special theorems on real and complex matrices useful in multivariate analysis. Chapter II deals with the theory of groups and related results that are useful for the development of invariant statistical test procedures, including the Jacobians of some specific transformations that are useful for deriving multivariate sampling distributions. Chapter III is devoted to basic notions of multivariate distributions and the principle of invariance in statistical testing of hypotheses. Chapters IV and V deal with the study of the real multivariate normal distribution through the probability density function and through a simple characterization and the maximum likelihood estimators of the parameters of the multivariate normal distribution and their optimum properties. Chapter VI tackles a systematic derivation of basic multivariate sampling distributions for the real case, while Chapter VII explores the tests and confidence regions of mean vectors of multivariate normal populations with known and unknown covariance matrices and their optimum properties. Chapter VIII is devoted to a systematic derivation of tests concerning covariance matrices and mean vectors of multivariate normal populations and to the study of their optimum properties. Chapters IX and X look into a treatment of discriminant analysis and the different covariance models and their analysis for the multivariate normal distribution. These chapters also deal with the principal components, factor models, canonical correlations, and time series. This book will prove useful to statisticians, mathematicians, and advance mathematics students.
Group Invariance In Statistical Inference
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Author : Giri Narayan C
language : en
Publisher: World Scientific
Release Date : 1996-10-22
Group Invariance In Statistical Inference written by Giri Narayan C and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-10-22 with Mathematics categories.
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.
Multivariate Statistical Inference And Applications
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Author : Alvin C. Rencher
language : en
Publisher: Wiley-Interscience
Release Date : 1998
Multivariate Statistical Inference And Applications written by Alvin C. Rencher and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
The most accessible introduction to the theory and practice of multivariate analysis Multivariate Statistical Inference and Applications is a user-friendly introduction to basic multivariate analysis theory and practice for statistics majors as well as nonmajors with little or no background in theoretical statistics. Among the many special features of this extremely accessible first text on multivariate analysis are: * Clear, step-by-step explanations of all key concepts and procedures along with original, easy-to-follow proofs * Numerous problems, examples, and tables of distributions * Many real-world data sets drawn from a wide range of disciplines * Reviews of univariate procedures that give rise to multivariate techniques * An extensive survey of the world literature on multivariate analysis * An in-depth review of matrix theory * A disk including all the data sets and SAS command files for all examples and numerical problems found in the book These same features also make Multivariate Statistical Inference and Applications an excellent professional resource for scientists and clinicians who need to acquaint themselves with multivariate techniques. It can be used as a stand-alone introduction or in concert with its more methods-oriented sibling volume, the critically acclaimed Methods of Multivariate Analysis.
Methods Of Multivariate Analysis
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Author : Alvin C. Rencher
language : en
Publisher: John Wiley & Sons
Release Date : 2003-04-14
Methods Of Multivariate Analysis written by Alvin C. Rencher and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-14 with Mathematics categories.
Amstat News asked three review editors to rate their top five favorite books in the September 2003 issue. Methods of Multivariate Analysis was among those chosen. When measuring several variables on a complex experimental unit, it is often necessary to analyze the variables simultaneously, rather than isolate them and consider them individually. Multivariate analysis enables researchers to explore the joint performance of such variables and to determine the effect of each variable in the presence of the others. The Second Edition of Alvin Rencher's Methods of Multivariate Analysis provides students of all statistical backgrounds with both the fundamental and more sophisticated skills necessary to master the discipline. To illustrate multivariate applications, the author provides examples and exercises based on fifty-nine real data sets from a wide variety of scientific fields. Rencher takes a "methods" approach to his subject, with an emphasis on how students and practitioners can employ multivariate analysis in real-life situations. The Second Edition contains revised and updated chapters from the critically acclaimed First Edition as well as brand-new chapters on: Cluster analysis Multidimensional scaling Correspondence analysis Biplots Each chapter contains exercises, with corresponding answers and hints in the appendix, providing students the opportunity to test and extend their understanding of the subject. Methods of Multivariate Analysis provides an authoritative reference for statistics students as well as for practicing scientists and clinicians.
Multivariate Statistical Inference
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Author :
language : en
Publisher:
Release Date : 1973
Multivariate Statistical Inference written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.
Differential representation of a bivariate stochastic; On the multivariate generalization of the family of discrete lagrange distributions; Alternatives to least squares in multiple regression; The elusive ancillary; Multiple birth discrimination; On a class of unbiased tests for the equality of K covariance matrices; Adequacy of discrimination functions and their applications.
Statistical Inference For Models With Multivariate T Distributed Errors
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Author : A. K. Md. Ehsanes Saleh
language : en
Publisher: John Wiley & Sons
Release Date : 2014-10-01
Statistical Inference For Models With Multivariate T Distributed Errors written by A. K. Md. Ehsanes Saleh and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-01 with Mathematics categories.
This book summarizes the results of various models under normal theory with a brief review of the literature. Statistical Inference for Models with Multivariate t-Distributed Errors: Includes a wide array of applications for the analysis of multivariate observations Emphasizes the development of linear statistical models with applications to engineering, the physical sciences, and mathematics Contains an up-to-date bibliography featuring the latest trends and advances in the field to provide a collective source for research on the topic Addresses linear regression models with non-normal errors with practical real-world examples Uniquely addresses regression models in Student's t-distributed errors and t-models Supplemented with an Instructor's Solutions Manual, which is available via written request by the Publisher
Statistical Inference In Elliptically Contoured And Related Distributions
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Author : Kai-Tang Fang
language : en
Publisher:
Release Date : 1990
Statistical Inference In Elliptically Contoured And Related Distributions written by Kai-Tang Fang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Multivariate Statistical Inference
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Author : D. G. Kabe
language : en
Publisher: Amsterdam : North-Holland Publishing Company ; New York : American Elsevier Publishing Company
Release Date : 1973
Multivariate Statistical Inference written by D. G. Kabe and has been published by Amsterdam : North-Holland Publishing Company ; New York : American Elsevier Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Multivariate analysis categories.
Differential representation of a bivariate stochastic process. On the multivariate generalization of the family of discrete lagrange distributions. Alternatives to least squares in multiple regression. The elusive ancillary. Multiple birth discrimination. On a class of unbiased tests for the equality of k covariance matrices. Examination of Pseudo-residuals of outliers for detecting spurosity in the general univariate linear model. Adequacy of discriminant functions and their applications. Distribution of two correlated hotelling's. Remarks on multivariate models based on the notion of structure.
Applied Multivariate Analysis
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Author : S. James Press
language : en
Publisher: Courier Corporation
Release Date : 2012-09-05
Applied Multivariate Analysis written by S. James Press and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-05 with Mathematics categories.
Geared toward upper-level undergraduates and graduate students, this two-part treatment deals with the foundations of multivariate analysis as well as related models and applications. Starting with a look at practical elements of matrix theory, the text proceeds to discussions of continuous multivariate distributions, the normal distribution, and Bayesian inference; multivariate large sample distributions and approximations; the Wishart and other continuous multivariate distributions; and basic multivariate statistics in the normal distribution. The second half of the text moves from defining the basics to explaining models. Topics include regression and the analysis of variance; principal components; factor analysis and latent structure analysis; canonical correlations; stable portfolio analysis; classifications and discrimination models; control in the multivariate linear model; and structuring multivariate populations, with particular focus on multidimensional scaling and clustering. In addition to its value to professional statisticians, this volume may also prove helpful to teachers and researchers in those areas of behavioral and social sciences where multivariate statistics is heavily applied. This new edition features an appendix of answers to the exercises.
Multivariate Statistical Analysis
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Author : Czesław Domański
language : en
Publisher:
Release Date : 2008
Multivariate Statistical Analysis written by Czesław Domański and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Multivariate analysis categories.