Characterization of Lifetime Distribution Based on Generalized Interval Entropy

  • Vikas Kumar UIET, M. D. University
  • Nirdesh Singh
Keywords: Shannon entropy, Interval entropy, Generalized failure rate, Characterization

Abstract

In this paper, we introduce the concept of generalized interval entropy measure of order alpha and type beta for the doubly truncated random variable. A characterization problem for the generalized interval entropy measure has been studied. The exponential, the pareto and finite range distributions have been characterized in terms of the proposed entropy measure and generalized failure rate function. A lower bound to generalized interval entropy has also been derived. Finally some stochastic comparison based on generalized interval entropy are presented.

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Published
2018-11-02
How to Cite
Kumar, V., & Singh, N. (2018). Characterization of Lifetime Distribution Based on Generalized Interval Entropy. Statistics, Optimization & Information Computing, 6(4), 547-559. https://doi.org/10.19139/soic.v6i4.328
Section
Research Articles