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The Length-Biased Weighted Lindley Distribution with Applications

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Abstract

In this paper, we propose a new length-biased distribution, which is a special case of weighted distributions. We derive some mathematical properties of the proposed distribution, including moment generating function, characteristic function and moments, and discuss parameter estimation by the method of moments and maximum likelihood estimation. We assess estimators via simulation, and show the potential of the proposed distribution by fitting it with some real-life data sets.

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Authors and Affiliations

  1. Department of Statistics, Kasetsart University, 10903, Bangkok, Thailand

    Yupapin Atikankul, Ampai Thongteeraparp & Winai Bodhisuwan

  2. Department of Mathematics and Statistics, University of Regina, S4S 0A2, Regina, Saskatchewan, Canada

    A. Volodin

Authors
  1. Yupapin Atikankul
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  2. Ampai Thongteeraparp
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  3. Winai Bodhisuwan
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  4. A. Volodin
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Corresponding authors

Correspondence to Yupapin Atikankul, Ampai Thongteeraparp, Winai Bodhisuwan or A. Volodin.

Ethics declarations

The authors thank Kasetsart University and Rajamangala University of Technology Phra Nakhon. Further, the authors are grateful to the reviewers for suggestions of the manuscript.

Additional information

(Submitted by A. M. Elizarov)

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Atikankul, Y., Thongteeraparp, A., Bodhisuwan, W. et al. The Length-Biased Weighted Lindley Distribution with Applications. Lobachevskii J Math 41, 308–319 (2020). https://doi.org/10.1134/S199508022003004X

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  • DOI: https://doi.org/10.1134/S199508022003004X

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