Measures of information for maximum ranked set sampling with unequal samples

Maryam Eskandarzadeh, Antonio Di Crescenzo and Saeid Tahmasebi

Communications in Statistics - Theory and Methods, 2018, vol. 47, issue 19, 4692-4709

Abstract: Biradar and Santosha (2014) proposed maximum ranked set sampling procedure with unequal samples (MRSSU) to estimate the mean of the exponential distribution. In this paper, we consider information measures of MRSSU in terms of Shannon entropy, Rényi entropy and Kullback-Leibler (KL) information. We also compare the uncertainty and information content of MRSSU with simple random sampling and ranked set sampling data. Finally, we develop some characterization results in terms of cumulative entropy and failure entropy of MRSSU.

Date: 2018
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DOI: 10.1080/03610926.2018.1445857

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