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On weighted extropy of ranked set sampling and its comparison with simple random sampling counterpart

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  • Guoxin Qiu
  • Mohammad Z. Raqab

Abstract

The extropy measure proposed by Lad, Sanfilippo, and Agro (Statistical Science 30 (1):40–58, 2015) as a dual function of Shannon entropy has received a considerable attention in the last five years. In this paper, we first show a representation for the weighted extropy of ranked set sampling in terms of quantile and density-quantile functions. Then we provide some related results including monotone properties, stochastic orders, characterizations and sharp bounds. Moreover, the so obtained results show how the weighted extropy of ranked set sampling compares with its counterpart of simple random sampling.

Suggested Citation

  • Guoxin Qiu & Mohammad Z. Raqab, 2024. "On weighted extropy of ranked set sampling and its comparison with simple random sampling counterpart," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 53(1), pages 378-395, January.
    • Handle: RePEc:taf:lstaxx:v:53:y:2024:i:1:p:378-395
    DOI: 10.1080/03610926.2022.2082478
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    Cited by:

    1. Yunhan Liu & Changchun Gao & Xiaofeng Liu & Ping Luo & Jianguo Ren, 2024. "A Comparison of MLE for Some Index Distributions Based on Censored Samples," Mathematics, MDPI, vol. 12(20), pages 1-15, October.

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