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Limit laws for kth order statistics from conditionally mixing arrays of random variables

Published online by Cambridge University Press:  14 July 2016

W. Dziubdziela
W. Dziubdziela*
Affiliation:
University of Wroc✗aw
*
∗Postal address: Institute of Mathematics, University of Wroc✗ aw, Pl. Grunwaldzki 2/4, 50–384 Wroc✗ aw, Poland.
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Abstract

We present sufficient conditions for the weak convergence of the distributions of the kth order statistics from a conditionally mixing array of random variables to limit laws which are represented in terms of a mixed compound Poisson distribution.

Keywords

WEAK CONVERGENCEMIXED COMPOUND POISSON DISTRIBUTION
Type
Research Paper
Information
Journal of Applied Probability , Volume 23 , Issue 3 , September 1986 , pp. 679 - 687
Copyright
Copyright © Applied Probability Trust 1986 

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