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Measures of information for maximum ranked set sampling with unequal samples

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  • Maryam Eskandarzadeh
  • Antonio Di Crescenzo
  • Saeid Tahmasebi

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.

Suggested Citation

  • Maryam Eskandarzadeh & Antonio Di Crescenzo & Saeid Tahmasebi, 2018. "Measures of information for maximum ranked set sampling with unequal samples," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(19), pages 4692-4709, October.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:19:p:4692-4709
    DOI: 10.1080/03610926.2018.1445857
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    Cited by:

    1. Tahmasebi, S. & Longobardi, M. & Kazemi, M.R. & Alizadeh, M., 2020. "Cumulative Tsallis entropy for maximum ranked set sampling with unequal samples," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).

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