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On Weighted Extended Cumulative Residual Entropy of k-th Upper Record

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Book cover Digital Business

Part of the book series: Lecture Notes on Data Engineering and Communications Technologies ((LNDECT,volume 21))

Abstract

Generalized cumulative residual entropy has been shown an alternative uncertainty measure to cumulative residual entropy in the literature. We find its applications in the theory of communication, actuarial and computer science. In this chapter, we consider a shift-dependent version of the generalized cumulative residual entropy for the k-th upper record and its dynamic version. The advantage of the proposed measure over the existing measure is discussed. Various results including some useful properties, effect of affine transformations, bounds, stochastic ordering and aging properties are obtained. In addition, inequalities based on the proportional hazard rate model are derived. Further, we obtain some characterization results for various probability models based on the proposed information measure. A nonparametric estimator of the proposed measure is provided and then, its asymptotic normality is established.

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Author information

Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology Rourkela, Rourkela, India

    Rajesh Moharana

  2. Faculty of Department of Mathematics, National Institute of Technology Rourkela, Rourkela, India

    Suchandan Kayal

Authors
  1. Rajesh Moharana
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  2. Suchandan Kayal
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Corresponding author

Correspondence to Suchandan Kayal .

Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, Faculty of Engineering and Technology, SOA University, Bhubaneswar, Odisha, India

    Srikanta Patnaik

  2. School of Science and Technology, Middlesex University, London, United Kingdom

    Xin-She Yang

  3. Business Systems and Analytics Department, La Salle University, Philadelphia, Pennsylvania, USA

    Madjid Tavana

  4. University Politehnica of Bucharest, Bucharest, Romania

    Florin Popentiu-Vlădicescu

  5. Shenyang Jianzhu University, Shenyang, China

    Feng Qiao

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Moharana, R., Kayal, S. (2019). On Weighted Extended Cumulative Residual Entropy of k-th Upper Record. In: Patnaik, S., Yang, XS., Tavana, M., Popentiu-Vlădicescu, F., Qiao, F. (eds) Digital Business. Lecture Notes on Data Engineering and Communications Technologies, vol 21. Springer, Cham. https://doi.org/10.1007/978-3-319-93940-7_10

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