Wyniki wyszukiwania:

In this book we define univariate and bivariate gamma-type distributions and discuss some of their statistical functions, including the moment generating function. Numerous distributions such as the Rayleigh, half-normal and Maxwell distributions can be obtained as special cases. The moment generating function of both univariate and bivariate random variables are derived by making use of the inverse Mellin transform technique and expressed in terms of generalized hypergeometric functions. These representations provide computable expressions for the moment generating functions of several of...

This book explores topics in multivariate statistical analysis, relevant in the real and complex domains. It utilizes simplified and unified notations to render the complex subject matter both accessible and enjoyable, drawing from clear exposition and numerous illustrative examples. The book features an in-depth treatment of theory with a fair balance of applied coverage, and a classroom lecture style so that the learning process feels organic. It also contains original results, with the goal of driving research conversations forward.

The book deals with bilinear forms in real random vectors and their generalizations as well as zonal polynomials and their applications in handling generalized quadratic and bilinear forms. The book is mostly self-contained. It starts from basic principles and brings the readers to the current research level in these areas. It is developed with detailed proofs and illustrative examples for easy readability and self-study. Several exercises are proposed at the end of the chapters. The complicated topic of zonal polynomials is explained in detail in this book. The book concentrates on the...