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Quantile Approach of Dynamic Generalized Entropy (Divergence) Measure

Author

Listed:
  • Vikas Kumar

    (UIET, M. D. University - India)

  • Rekha Rani

    (UIET, M. D. University - India)

Abstract

In the present paper, we propose a quantile version of generalized entropy measure for residual and past lifetimes and study their properties. Lower and upper bounds of the proposed measures are derived. Some of the quantile lifetime distributions have been characterized. We also introduce quantile versions of the eneralized divergence measure of Varma between two residual and two past lifetime random variables. Some properties of this measure are studied and a characterization of the proportional (reversed) hazards model is given.

Suggested Citation

  • Vikas Kumar & Rekha Rani, 2018. "Quantile Approach of Dynamic Generalized Entropy (Divergence) Measure," Statistica, Department of Statistics, University of Bologna, vol. 78(2), pages 105-126.
    • Handle: RePEc:bot:rivsta:v:78:y:2018:i:2:p:105-126
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    Cited by:

    1. Răzvan-Cornel Sfetcu & Sorina-Cezarina Sfetcu & Vasile Preda, 2024. "Discrete Entropies of Chebyshev Polynomials," Mathematics, MDPI, vol. 12(7), pages 1-11, March.

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