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Ordered Random Variables: Theory and Applications

  • Book
  • © 2016

Overview

Authors:
  1. Muhammad Qaiser Shahbaz

    1. Department of Statistics, King Abdul Aziz University Department of Statistics, Jeddah, Saudi Arabia

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  2. Mohammad Ahsanullah

    1. Management Sciences, Rider University Management Sciences, Lawrenceville, USA

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  3. Saman Hanif Shahbaz

    1. Department of Statistics, King Abdul Aziz University Department of Statistics, Jeddah, Saudi Arabia

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  4. Bander M. Al-Zahrani

    1. Department of Statistics, King Abdul Aziz University Department of Statistics, Jeddah, Saudi Arabia

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  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: Atlantis Studies in Probability and Statistics (ATLANTISSPS, volume 9)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xii
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  2. Introduction

    • Muhammad Qaiser Shahbaz, Mohammad Ahsanullah, Saman Hanif Shahbaz, Bander M. Al-Zahrani
    Pages 1-6

  3. Order Statistics

    • Muhammad Qaiser Shahbaz, Mohammad Ahsanullah, Saman Hanif Shahbaz, Bander M. Al-Zahrani
    Pages 7-75

  4. Record Values

    • Muhammad Qaiser Shahbaz, Mohammad Ahsanullah, Saman Hanif Shahbaz, Bander M. Al-Zahrani
    Pages 77-123

  5. The Generalized Order Statistics

    • Muhammad Qaiser Shahbaz, Mohammad Ahsanullah, Saman Hanif Shahbaz, Bander M. Al-Zahrani
    Pages 125-175

  6. Dual Generalized Order Statistics

    • Muhammad Qaiser Shahbaz, Mohammad Ahsanullah, Saman Hanif Shahbaz, Bander M. Al-Zahrani
    Pages 177-222

  7. Some Uses of Ordered Random Variables

    • Muhammad Qaiser Shahbaz, Mohammad Ahsanullah, Saman Hanif Shahbaz, Bander M. Al-Zahrani
    Pages 223-251

  8. Characterizations of Distribution

    • Muhammad Qaiser Shahbaz, Mohammad Ahsanullah, Saman Hanif Shahbaz, Bander M. Al-Zahrani
    Pages 253-271

  9. Extreme Value Distributions

    • Muhammad Qaiser Shahbaz, Mohammad Ahsanullah, Saman Hanif Shahbaz, Bander M. Al-Zahrani
    Pages 273-287

  10. Back Matter

    Pages 289-294
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Keywords

About this book



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). 

Authors and Affiliations

  • Department of Statistics, King Abdul Aziz University Department of Statistics, Jeddah, Saudi Arabia

    Muhammad Qaiser Shahbaz, Saman Hanif Shahbaz, Bander M. Al-Zahrani

  • Management Sciences, Rider University Management Sciences, Lawrenceville, USA

    Mohammad Ahsanullah

Bibliographic Information

  • Book Title: Ordered Random Variables: Theory and Applications

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

  • Series Title: Atlantis Studies in Probability and Statistics

  • DOI: https://doi.org/10.2991/978-94-6239-225-0

  • Publisher: Atlantis Press Paris

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Atlantis Press and the author(s) 2016

  • Hardcover ISBN: 978-94-6239-224-3Published: 15 December 2016

  • eBook ISBN: 978-94-6239-225-0Published: 29 November 2016

  • Series ISSN: 1879-6893

  • Series E-ISSN: 1879-6907

  • Edition Number: 1

  • Number of Pages: XII, 294

  • Number of Illustrations: 3 b/w illustrations

  • Topics: Statistics, general

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