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Characterizations based on measure of inaccuracy for truncated random variables

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  • Chanchal Kundu
  • Asok Nanda

Abstract

In recent years, different authors have shown interest to study Kerridge inaccuracy measure for truncated distributions. In the present communication, we provide characterizations of quite a few continuous and discrete distributions based on past inaccuracy measure. We introduce the concept of interval inaccuracy measure for two-sided truncated random variables. This measure may help the information theorists and reliability analysts to study the various characteristics of a system/component when it fails between two time points. Various aspects of interval inaccuracy measure have been discussed and some characterization results have been provided. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Chanchal Kundu & Asok Nanda, 2015. "Characterizations based on measure of inaccuracy for truncated random variables," Statistical Papers, Springer, vol. 56(3), pages 619-637, August.
    • Handle: RePEc:spr:stpapr:v:56:y:2015:i:3:p:619-637
    DOI: 10.1007/s00362-014-0600-z
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    References listed on IDEAS

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    1. Vikas Kumar & H. Taneja & R. Srivastava, 2011. "A dynamic measure of inaccuracy between two past lifetime distributions," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 74(1), pages 1-10, July.
    2. J. Ruiz & J. Navarro, 1996. "Characterizations based on conditional expectations of the doubled truncated distribution," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 48(3), pages 563-572, September.
    3. P. Sankaran & S. Sunoj, 2004. "Identification of models using failure rate and mean residual life of doubly truncated random variables," Statistical Papers, Springer, vol. 45(1), pages 97-109, January.
    4. Misagh, F. & Yari, G.H., 2011. "On weighted interval entropy," Statistics & Probability Letters, Elsevier, vol. 81(2), pages 188-194, February.
    5. Prem Nath, 1968. "Inaccuracy and coding theory," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 13(1), pages 123-135, December.
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    Cited by:

    1. Jafar Ahmadi, 2021. "Characterization of continuous symmetric distributions using information measures of records," Statistical Papers, Springer, vol. 62(6), pages 2603-2626, December.
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    4. Morteza Mohammadi & Majid Hashempour, 2024. "On weighted version of dynamic cumulative residual inaccuracy measure based on extropy," Statistical Papers, Springer, vol. 65(7), pages 4599-4629, September.

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