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WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 24, Fasc. 2,
pages 253 - 262
 

TSALLIS’ ENTROPY BOUNDS FOR GENERALIZED ORDER STATISTICS

M. Kałuszka
A. Okolewski

Abstract: We present sharp bounds for expectations of generalized order statistics with random indices expressed in terms of Tsallis’ entropy. The bounds are attainable and provide new characterizations of some nontrivial distributions. No restrictions are imposed on the parameters of the generalized order statistics model.

2000 AMS Mathematics Subject Classification: 62G30, 62H10.

Key words and phrases: Generalized order statistics, order statistics, records, progressive type II censored order statistics, Tsallis’ entropy, Moriguti’s inequality.

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