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Measure of entropy for past lifetime and k-record statistics

Author

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  • Goel, Ritu
  • Taneja, H.C.
  • Kumar, Vikas

Abstract

In this paper we consider a measure of past entropy for nth upper k-record value. A characterization result for the measure under consideration is given. We discuss some basic properties of the proposed measure. Also we construct bounds to the proposed past entropy measure for nth k-records.

Suggested Citation

  • Goel, Ritu & Taneja, H.C. & Kumar, Vikas, 2018. "Measure of entropy for past lifetime and k-record statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 623-631.
    • Handle: RePEc:eee:phsmap:v:503:y:2018:i:c:p:623-631
    DOI: 10.1016/j.physa.2018.02.200
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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. Di Crescenzo, Antonio & Longobardi, Maria, 2004. "A measure of discrimination between past lifetime distributions," Statistics & Probability Letters, Elsevier, vol. 67(2), pages 173-182, April.
    3. Balakrishnan, N. & Chan, P. S., 1998. "On the normal record values and associated inference," Statistics & Probability Letters, Elsevier, vol. 39(1), pages 73-80, July.
    4. Fashandi, M. & Ahmadi, Jafar, 2012. "Characterizations of symmetric distributions based on Rényi entropy," Statistics & Probability Letters, Elsevier, vol. 82(4), pages 798-804.
    5. Mohsen Madadi & Mahbanoo Tata, 2011. "Shannon information in record data," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 74(1), pages 11-31, July.
    6. M. Razmkhah & H. Morabbi & J. Ahmadi, 2012. "Comparing two sampling schemes based on entropy of record statistics," Statistical Papers, Springer, vol. 53(1), pages 95-106, February.
    7. Asok Nanda & Prasanta Paul, 2006. "Some Properties of Past Entropy and their Applications," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 64(1), pages 47-61, August.
    8. Kumar, Vikas, 2015. "Generalized entropy measure in record values and its applications," Statistics & Probability Letters, Elsevier, vol. 106(C), pages 46-51.
    9. S. Baratpour & J. Ahmadi & N. Arghami, 2007. "Entropy properties of record statistics," Statistical Papers, Springer, vol. 48(2), pages 197-213, April.
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    Cited by:

    1. Sathar E. I. Abdul & Jose Jitto, 2020. "Past Extropy of 𝑘-Records," Stochastics and Quality Control, De Gruyter, vol. 35(1), pages 25-38, June.
    2. Ramanathan Gayathri & Enchakudiyil Ibrahim Abdul Sathar, 2021. "On past geometric vitality function of order statistics," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(2), pages 263-280, February.
    3. Maryam Eskandarzadeh & Antonio Di Crescenzo & Saeid Tahmasebi, 2019. "Cumulative Measure of Inaccuracy and Mutual Information in k -th Lower Record Values," Mathematics, MDPI, vol. 7(2), pages 1-19, February.

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