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Elliptically Contoured Models in Statistics

Name: Elliptically Contoured Models in Statistics
Brand: Springer Netherlands
SKU: 01393960
Price: 40641 HUF
Availability: InStock
Author: Arjun K. Gupta
ISBN: 9780792321156

Arjun K. Gupta

Tamas Varga

Language

English

Book Hardback

Libristo code: 01393960

Publishers Springer Netherlands, November 1992

This volume presents the first detailed introduction to the theory of matrix variate elliptically co... Full description

Libristo code: 01393960

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This volume presents the first detailed introduction to the theory of matrix variate elliptically contoured distributions. The book comprises eight chapters and an up-to-date bibliography. Chapter 1 summarizes some results of matrix algebra. Chapter 2 deals with the basic properties of matrix variate elliptically contoured distributions, such as the probability density function and expected values. It also presents one of the most important tools of the theory of elliptical distributions, the stochastic representation. The probability density function and expected values are investigated in detail in Chapter 3. Chapter 4 focuses on elliptically contoured distributions that can be represented as mixtures of normal distributions. The distributions of functions of random matrices with elliptically contoured distributions are discussed in Chapter 5, with special attention being paid to quadratic forms. Characterization results are given in Chapter 6. Chapters 7-9 are devoted to statistical inference. For researchers and graduate students in statistics and related fields whose interests involve multivariate statistical analysis.