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Sharma-Mittal Entropy Properties on Record Values

Author

Listed:
  • Jerin Paul

    (University of Kerala, Trivandrum - India)

  • Poruthiyudian Yageen Thomas

    (University of Kerala, Trivandrum - India)

Abstract

In this paper we derive Sharma-Mittal entropy of record values and analyse some of its important properties. We establish some bounds for the Sharma-Mittal entropy of record values. We generate a characterization result based on the properties of Sharma-Mittal entropy of record values for exponential distribution. We further establish some distribution free properties of Sharma-Mittal divergence information between distribution of a record value and the parent distribution. We extend the concept of Sharma-Mittal entropy to the concomitants of record values arising from a Farlie-Gumbel-Morgenstern (FGM) bivariate distribution. Also we consider residual Sharma-Mittal Entropy and used it to describe some properties of record values.

Suggested Citation

  • Jerin Paul & Poruthiyudian Yageen Thomas, 2016. "Sharma-Mittal Entropy Properties on Record Values," Statistica, Department of Statistics, University of Bologna, vol. 76(3), pages 273-287.
    • Handle: RePEc:bot:rivsta:v:76:y:2016:i:3:p:273-287
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