RESULTS ON TSALLIS ENTROPY OF ORDER STATISTICS AND RECORD VALUES

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Türkiye İstatistik Derneği Dergisi
Volume:8 Issue:2
RESULTS ON TSALLIS ENTROPY OF ORDER STATISTICS AND RECORD VALUES

RESULTS ON TSALLIS ENTROPY OF ORDER STATISTICS AND RECORD VALUES

Authors : S BARATPOUR, A H KHAMMAR

Pages : 60-73

View : 69 | Download : 11

Publication Date : 2015-06-01

Article Type : Research Paper

Abstract :The Tsallis entropy is a generalization of type α of the Shannon entropy insert ignore into journalissuearticles values(Tsallis, 1988); that isa non-additive entropy unlike the Shannon entropy and some of other generalized entropy, such as Renyientropy that introduced by Renyi insert ignore into journalissuearticles values(1961);. In this paper, we study the Tsallis entropy based on order statisticsand record values. We show that the parent distributions can be determined uniquely by the equality of Tsallisentropy of order statistics or record values. Also, we characterize symmetric distributions based on Tsallisentropy of order statistics and record values. Finally, we prove that the Tsallis information between orderstatistics and parent random variable, and Tsallis information between record values and parent randomvariable are distribution free. The results are useful in modeling problems and testing statistical hypotheses
Keywords : Characterization, Hazard rate function, Muntz Szasz theorem, Series parallel, system, Symmetric distributions, Tsallis information

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