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Records via Probability Theory

  • Book
  • © 2015

Overview

Authors:
  1. Mohammad Ahsanullah

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

  2. Valery B. Nevzorov

    1. Department of Mathematics and Mechanics, Saint Petersburg State University, Saint Petersburg, Russia

  • The book is written giving basic theory of record on a lower technical level
  • The book presents basic theory of records statistics and its applications
  • The book will be a unique resource that brings together as well as special results of record values
  • The book is prepared bearing in mind first year graduate and advanced undergraduate levels
  • Includes supplementary material: sn.pub/extras

Part of the book series: Atlantis Studies in Probability and Statistics (ATLANTISSPS, volume 6)

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About this book

A lot of statisticians, actuarial mathematicians, reliability engineers, meteorologists, hydrologists, economists. Business and sport analysts deal with records which play important roles in various fields of statistics and its application. This book enables a reader to check his/her level of understanding of the theory of record values. We give basic formulae which are more important in the theory and present a lot of examples which illustrate the theoretical statements. For a beginner in record statistics, as well as for graduate students the study of our book needs the basic knowledge of the subject. A more advanced reader can use our book to polish his/her knowledge. An upgraded list of bibliography which will help a reader to enrich his/her theoretical knowledge and widen the experience of dealing with ordered observations, is also given in the book.

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Introduction

    • Mohammad Ahsanullah, Valery B. Nevzorov
    Pages 1-5

  3. Order Statistics

    • Mohammad Ahsanullah, Valery B. Nevzorov
    Pages 7-44

  4. Record Times

    • Mohammad Ahsanullah, Valery B. Nevzorov
    Pages 45-62

  5. Record Values

    • Mohammad Ahsanullah, Valery B. Nevzorov
    Pages 63-78

  6. Record Values of Some Well Known Distributions

    • Mohammad Ahsanullah, Valery B. Nevzorov
    Pages 79-122

  7. Records of Discrete Distributions

    • Mohammad Ahsanullah, Valery B. Nevzorov
    Pages 123-142

  8. Estimation of Parameters and Predictions of Records

    • Mohammad Ahsanullah, Valery B. Nevzorov
    Pages 143-181

  9. Characterizations of Distributions

    • Mohammad Ahsanullah, Valery B. Nevzorov
    Pages 183-206

  10. Asymptotic Distributions of Records

    • Mohammad Ahsanullah, Valery B. Nevzorov
    Pages 207-216

  11. Nonclassical Record Schemes

    • Mohammad Ahsanullah, Valery B. Nevzorov
    Pages 217-230

  12. Back Matter

    Pages 231-255
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Authors and Affiliations

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

    Mohammad Ahsanullah

  • Department of Mathematics and Mechanics, Saint Petersburg State University, Saint Petersburg, Russia

    Valery B. Nevzorov

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