Ordered Random Variables: Theory and Applications

Authors: Muhammad Qaiser Shahbaz, Mohammad Ahsanullah, Saman Hanif Shahbaz, Bander M. Al-Zahrani



Self learning approach for various models of ordered random variables

Several examples for various models of ordered random variables are added

Models for descendingly ordered variables are discussed

Recurrence relations for moments under various models are presented

Inference and characterization of distributions based upon various models of ordered random variables

Ordered Random Variables have attracted several authors. The basic building block of Ordered Random Variables is Order Statistics which has several applications in extreme value theory and ordered estimation. The general model for ordered random variables, known as Generalized Order Statistics has been introduced relatively recently by Kamps (1995).

Table of contents

Front Matter
Pages i-xii

Introduction
Pages 1-6

Order Statistics
Pages 7-75

Record Values
Pages 77-123

The Generalized Order Statistics
Pages 125-175

Dual Generalized Order Statistics
Pages 177-222

Some Uses of Ordered Random Variables
Pages 223-251

Characterizations of Distribution
Pages 253-271

Extreme Value Distributions
Pages 273-287

Back Matter
Pages 289-294

原版 PDF + EPUB: