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Some results on residual entropy of ranked set samples

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  • Tahmasebi, Saeid
  • Jafari, Ali Akbar
  • Eskandarzadeh, Maryam

Abstract

In this paper, a number of results are presented for the residual and past entropies of ranked set sample. In addition, some properties are compared with their counterparts in the simple random sample of size n=2. Finally, a dynamic residual measure of inaccuracy associated with two residual lifetime distributions of ranked set sample and simple random sample is obtained.

Suggested Citation

  • Tahmasebi, Saeid & Jafari, Ali Akbar & Eskandarzadeh, Maryam, 2016. "Some results on residual entropy of ranked set samples," Statistics & Probability Letters, Elsevier, vol. 112(C), pages 137-145.
    • Handle: RePEc:eee:stapro:v:112:y:2016:i:c:p:137-145
    DOI: 10.1016/j.spl.2016.01.022
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    References listed on IDEAS

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    1. Barabesi, Lucio & El-Sharaawi, Abdel, 2001. "The efficiency of ranked set sampling for parameter estimation," Statistics & Probability Letters, Elsevier, vol. 53(2), pages 189-199, June.
    2. Lucio Barabesi & Caterina Pisani, 2002. "Ranked Set Sampling for Replicated Sampling Designs," Biometrics, The International Biometric Society, vol. 58(3), pages 586-592, September.
    3. Jesse Frey, 2014. "A Note on Fisher Information and Imperfect Ranked-Set Sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(13), pages 2726-2733, July.
    4. Thapliyal, Richa & Taneja, H.C., 2015. "On residual inaccuracy of order statistics," Statistics & Probability Letters, Elsevier, vol. 97(C), pages 125-131.
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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).
    2. Balakrishnan, Narayanaswamy & Buono, Francesco & Longobardi, Maria, 2022. "On Tsallis extropy with an application to pattern recognition," Statistics & Probability Letters, Elsevier, vol. 180(C).

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