Measures of Information for Maximum Ranked Set Sampling with Unequal Samples, By Saeid Tahmasebi

Research

Title	Measures of Information for Maximum Ranked Set Sampling with Unequal Samples
Type	Article
Keywords	Cumulative entropy, Maximum ranked set sampling, Shannon entropy, Rényi entropy.
Journal	COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
DOI	https://doi.org/10.1080/03610926.2018.1445857
Researchers	Maryam Eskandarzadeh (First researcher) , Antonio Di Crescenzo (Second researcher) , Saeid Tahmasebi (Third researcher)

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 en- tropy, R´enyi 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.