Elliptically Contoured Models in Statistics
By: by A. K. Gupta, T. Varga
Contributors: Varga, T.
Series: Mathematics and Its Applications -- 240; Mathematics and Its Applications -- 240
Publisher: Springer Netherlands
Published: 1993
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 327
ISBN-13: 9789401047197; 9789401116466
Subjects: Computer engineering; Statistics; Economics
Description: 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.
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