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Some characterization results on generalized cumulative residual entropy measure

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  • Kumar, Vikas
  • Taneja, H.C.

Abstract

The cumulative residual entropy (CRE) has been found to be a new measure of information that parallels Shannon entropy, refer to Rao et al. (2004). In this paper we study a generalized cumulative residual information measure based on Verma's entropy function and a dynamic version of it. The exponential, Pareto and finite range distributions, which are commonly used in reliability modeling, have been characterized using this generalized measure.

Suggested Citation

  • Kumar, Vikas & Taneja, H.C., 2011. "Some characterization results on generalized cumulative residual entropy measure," Statistics & Probability Letters, Elsevier, vol. 81(8), pages 1072-1077, August.
    • Handle: RePEc:eee:stapro:v:81:y:2011:i:8:p:1072-1077
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    Cited by:

    1. Chia Sun, 2014. "Combining grey relation analysis and entropy model for evaluating the operational performance: an empirical study," Quality & Quantity: International Journal of Methodology, Springer, vol. 48(3), pages 1589-1600, May.
    2. Chanchal Kundu, 2015. "Generalized measures of information for truncated random variables," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 78(4), pages 415-435, May.
    3. Abo-Eleneen, Z.A. & Almohaimeed, B. & Ng, H.K.T., 2018. "On cumulative residual entropy of progressively censored order statistics," Statistics & Probability Letters, Elsevier, vol. 139(C), pages 47-52.
    4. Mao, Xuegeng & Shang, Pengjian & Wang, Jianing & Yin, Yi, 2020. "Fractional cumulative residual Kullback-Leibler information based on Tsallis entropy," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    5. Răzvan-Cornel Sfetcu & Sorina-Cezarina Sfetcu & Vasile Preda, 2021. "Ordering Awad–Varma Entropy and Applications to Some Stochastic Models," Mathematics, MDPI, vol. 9(3), pages 1-15, January.

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