Characterizations of Exponential Distribution by Ordered Random Variables

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Title: Characterizations of Exponential Distribution by Ordered Random Variables
Description: Exponential distribution is one of the most-used distributions in the theory and practice of statistics. It has several important properties like being memoryless and having a constant hazard rate. The field of characterization is developed in different branches of statistics and applied probability. Ordered random variables are common in various applications in practice. In this book, characterizations of exponential distribution using ordered random variables are presented. Most of the known results as well as many new results are given in this book. The aim of the book is to present various characterizations of exponential distribution based on ordered random variables. The book is written on a lower technical level and requires basic knowledge of mathematics and statistics. Chapter 1 gives some basic properties of exponential distribution. Chapters 2, 3, and 4 give the characterization of exponential distribution based on order statistics, record values, and generalized order statistics.
Authors: Mohammad Ahsanullah
Resource Type: eBook.
Subjects: Distribution (Probability theory), Variables (Mathematics)
Categories: MATHEMATICS / Research
Database: eBook Collection (EBSCOhost)
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An: 2178941
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PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1090.09973144531
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  Data: Characterizations of Exponential Distribution by Ordered Random Variables
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  Label: Description
  Group: Ab
  Data: Exponential distribution is one of the most-used distributions in the theory and practice of statistics. It has several important properties like being memoryless and having a constant hazard rate. The field of characterization is developed in different branches of statistics and applied probability. Ordered random variables are common in various applications in practice. In this book, characterizations of exponential distribution using ordered random variables are presented. Most of the known results as well as many new results are given in this book. The aim of the book is to present various characterizations of exponential distribution based on ordered random variables. The book is written on a lower technical level and requires basic knowledge of mathematics and statistics. Chapter 1 gives some basic properties of exponential distribution. Chapters 2, 3, and 4 give the characterization of exponential distribution based on order statistics, record values, and generalized order statistics.
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 519.24
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Distribution (Probability theory)
        Type: general
      – SubjectFull: Variables (Mathematics)
        Type: general
    Titles:
      – TitleFull: Characterizations of Exponential Distribution by Ordered Random Variables
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Mohammad Ahsanullah
      – PersonEntity:
          Name:
            NameFull: Mohammad Ahsanullah
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2019
            – D: 22
              M: 11
              Type: profile
              Y: 2022
          Identifiers:
            – Type: isbn-print
              Value: 9781536154023
            – Type: isbn-electronic
              Value: 9781536154030
          Titles:
            – TitleFull: Characterizations of Exponential Distribution by Ordered Random Variables
              Type: main
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