ArticleOriginal scientific text
Title
Compound Poisson approximation for extremes of moving minima in arrays of independent random variables
Authors 1
Affiliations
- Institute of Mathematics, Technical University of Kielce, Tysiąclecia PP 7, 25-314 Kielce, Poland
Abstract
We present conditions sufficient for the weak convergence to a compound Poisson distribution of the distributions of the kth order statistics for extremes of moving minima in arrays of independent random variables.
Keywords
consecutive-m-out-of-n system, moving minima, compound Poisson distribution, order statistics
Bibliography
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Pages:
19-28
Main language of publication
English
Received
1996-07-11
Accepted
1997-01-25
Published
1998
Exact and natural sciences