Cumulative Tsallis entropy for maximum ranked set sampling with unequal samples

S. Tahmasebi, M. Longobardi, M.R. Kazemi and M. Alizadeh

Physica A: Statistical Mechanics and its Applications, 2020, vol. 556, issue C

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.

Keywords: Tsallis entropy; Cumulative Tsallis entropy; Ranked set sampling (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:556:y:2020:i:c:s037843712030385x

DOI: 10.1016/j.physa.2020.124763

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