Characterizations of discrete distributions based on conditional expectations of record values

In this paper we study the conditional expectation of r-th record values subject to (r + l)-th record values, record mean function, from a distribution of discrete type. We give some properties of the record mean function and an explicit expression for the distribution function based on its record m...

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Bibliographic Details
Published inStatistical papers (Berlin, Germany) Vol. 42; no. 1; pp. 101 - 110
Main Authors Franco, Manuel, Ruiz, José M.
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.01.2001
Subjects
Distribution functions
Equality
Random variables
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ISSN0932-5026
1613-9798
DOI10.1007/s003620000043

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Summary:In this paper we study the conditional expectation of r-th record values subject to (r + l)-th record values, record mean function, from a distribution of discrete type. We give some properties of the record mean function and an explicit expression for the distribution function based on its record mean function, which allows us to characterize particular discrete distributions using the record mean functions.
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ISSN:0932-5026
1613-9798
DOI:10.1007/s003620000043