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\iteman{io-port 05869542}
\itemau{Abbasnejad, M.; Arghami, N.R.}
\itemti{Renyi entropy properties of order statistics.}
\itemso{Commun. Stat., Theory Methods 40, No. 1, 40-52 (2011).}
\itemab
Summary: We discuss some properties of the {\it A. Renyi} entropy [Proc. 4th Berkeley Symp. Math. Stat. Probab. 1, 547--561 (1961; Zbl 0106.33001)] and the Renyi information of order statistics. Some bounds for the Renyi entropy of order statistics are obtained. Also, we relate the Renyi entropy ordering of order statistics to the Renyi entropy ordering and other well known orderings of parent random variables. Then it is proved that the Renyi information between order statistics and parent random variables is distribution free, and it is shown, as expected, the distance is minimum for the median.
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\itemcc{}
\itemut{hazard function; ordering; probability integral transformation; Renyi entropy bounds; Renyi information}
\itemli{doi:10.1080/03610920903353683}
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