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A new Lindley distribution with location parameter

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  • M. M. E. Abd El-Monsef

Abstract

The Lindley distribution has been used recently for modeling lifetime data and studying some stress-strength problems. In this paper, a new three-parameter Lindley distribution is introduced. The added location parameter offers more flexibility in fitting some real data against other common distributions. Several statistical and reliability properties are discussed. A simulation study has been carried to examine the MSE, bias, and coverage probability for the parameters. A real data set is used to illustrate the flexibility of the proposed distribution.

Suggested Citation

  • M. M. E. Abd El-Monsef, 2016. "A new Lindley distribution with location parameter," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(17), pages 5204-5219, September.
    • Handle: RePEc:taf:lstaxx:v:45:y:2016:i:17:p:5204-5219
    DOI: 10.1080/03610926.2014.941496
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    Cited by:

    1. Johannes Ferreira & Ané van der Merwe, 2022. "A Noncentral Lindley Construction Illustrated in an INAR(1) Environment," Stats, MDPI, vol. 5(1), pages 1-19, January.
    2. Yuancheng Si & Saralees Nadarajah, 2020. "Lindley Power Series Distributions," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 82(1), pages 242-256, February.

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