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Characterization of Lindley distribution by truncated moments

Author

Listed:
  • M. Ahsanullah
  • M. E. Ghitany
  • D. K. Al-Mutairi

Abstract

In the past few years, the Lindley distribution has gained popularity for modeling lifetime data as an alternative to the exponential distribution. This paper provides two new characterizations of the Lindley distribution. The first characterization is based on a relation between left truncated moments and failure rate function. The second characterization is based on a relation between right truncated moments and reversed failure rate function.

Suggested Citation

  • M. Ahsanullah & M. E. Ghitany & D. K. Al-Mutairi, 2017. "Characterization of Lindley distribution by truncated moments," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(12), pages 6222-6227, June.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:12:p:6222-6227
    DOI: 10.1080/03610926.2015.1124117
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    Cited by:

    1. Farouk Metiri & Halim Zeghdoudi & Abdelali Ezzebsa, 2022. "On the characterisation of X-Lindley distribution by truncated moments. Properties and application," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 32(1), pages 97-109.
    2. Wang, Shaochen & Weiß, Christian H., 2023. "New characterizations of the (discrete) Lindley distribution and their applications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 212(C), pages 310-322.
    3. Hassan S. Bakouch & Tassaddaq Hussain & Marina Tošić & Vladica S. Stojanović & Najla Qarmalah, 2023. "Unit Exponential Probability Distribution: Characterization and Applications in Environmental and Engineering Data Modeling," Mathematics, MDPI, vol. 11(19), pages 1-22, October.

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