Cumulative Tsallis entropy for maximum ranked set sampling with unequal samples, By Morad Alizadeh

Research

Title	Cumulative Tsallis entropy for maximum ranked set sampling with unequal samples
Type	Article
Keywords	Tsallis entropy; Cumulative Tsallis entropy; Ranked set sampling
Journal	PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
DOI	https://doi.org/10.1016/j.physa.2020.124763
Researchers	Saeid Tahmasebi (First researcher) , Maria Longobardi (Second researcher) , Mohammad Reza Kazemi (Third researcher) , Morad Alizadeh (Fourth researcher)

Abstract

In this paper, we consider the information content of maximum ranked set sampling procedure with unequal samples (MRSSU) in terms of Tsallis entropy which is a non additive generalization of Shannon entropy. We obtain several results of Tsallis entropy including bounds, monotonic properties, stochastic orders, and sharp bounds under some assumptions. We also compare the uncertainty and information content of MRSSU with its counterpart in the simple random sampling (SRS) data. Finally, we develop some characterization results in terms of cumulative Tsallis entropy and residual Tsallis entropy of MRSSU and SRS data