Results on residual Rényi entropy of order statistics and record values

Results on residual Rényi entropy of order statistics and record values

This paper explores properties of the residual Rényi entropy of some ordered random variables. The residual Rényi entropy of the kth order statistic from a continuous distribution function is represented in terms of the residual Rényi entropy of the kth order statistic from uniform distribution. The...

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Veröffentlicht in:Information sciences 2010-11, Vol.180 (21), p.4195-4206
Hauptverfasser: Zarezadeh, S., Asadi, M.
Format: Artikel
Sprache:eng
Schlagworte:
( n − k + 1)-out-of- n systems
Distribution functions
Entropy
Order statistics
Random variables
Record values
Reliability
Residual lifetime
Rényi entropy
Shannon entropy
Statistics
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Zusammenfassung:This paper explores properties of the residual Rényi entropy of some ordered random variables. The residual Rényi entropy of the kth order statistic from a continuous distribution function is represented in terms of the residual Rényi entropy of the kth order statistic from uniform distribution. The monotone behavior of the residual Rényi entropy of order statistic under various conditions is discussed. Analogues results for the residual Rényi entropy of record values are also given.
ISSN:0020-0255
1872-6291
DOI:10.1016/j.ins.2010.06.019