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Characterizations of the Exponential Distribution by Local Maximum Random Variables
Author(s) -
Ahsanullah M.
Publication year - 1982
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710240604
Subject(s) - independent and identically distributed random variables , mathematics , random variable , exponential distribution , combinatorics , exponential function , sequence (biology) , distribution (mathematics) , discrete mathematics , statistics , mathematical analysis , chemistry , biochemistry
Let { X n , n ≧1} be a sequence of independent and identically distributed random variables. Suppose n(K) =min n for which X n > X k , with K fixed and n > K . We will characterize the exponential distribution by considering the distributional properties of X k and X k and X n(k) .
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