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Topp-Leone Power Lindley Distribution(Tlpld): its Properties and Application

Author

Listed:
  • Festus C. Opone

    (University of Benin)

  • Nosakhare Ekhosuehi

    (University of Benin)

  • Sunday E. Omosigho

    (University of Benin)

Abstract

In this paper, a new class of generalized Lindley distribution called the Topp-Leone Power Lindley distribution (TLPLD) is introduced. Some mathematical properties which include the shape of the density function, hazard rate function, quantile function, moments and related measures, mean deviation, Bonferroni and Lorenz curves, Renyi entropy, distribution of the ordered statistics and Reliability are derived. A lifetime data set is used to illustrate the applicability of the distribution.

Suggested Citation

  • Festus C. Opone & Nosakhare Ekhosuehi & Sunday E. Omosigho, 2022. "Topp-Leone Power Lindley Distribution(Tlpld): its Properties and Application," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(2), pages 597-608, August.
    • Handle: RePEc:spr:sankha:v:84:y:2022:i:2:d:10.1007_s13171-020-00209-0
    DOI: 10.1007/s13171-020-00209-0
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    References listed on IDEAS

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    1. M. E. Ghitany & D. K. Al-Mutairi, 2008. "Size-biased Poisson-Lindley distribution and its application," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 299-311.
    2. Ghitany, M.E. & Al-Mutairi, D.K. & Balakrishnan, N. & Al-Enezi, L.J., 2013. "Power Lindley distribution and associated inference," Computational Statistics & Data Analysis, Elsevier, vol. 64(C), pages 20-33.
    3. Ayman Alzaatreh & Carl Lee & Felix Famoye, 2013. "A new method for generating families of continuous distributions," METRON, Springer;Sapienza Università di Roma, vol. 71(1), pages 63-79, June.
    4. Ghitany, M.E. & Al-Mutairi, D.K. & Nadarajah, S., 2008. "Zero-truncated Poisson–Lindley distribution and its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 279-287.
    5. Ghitany, M.E. & Atieh, B. & Nadarajah, S., 2008. "Lindley distribution and its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 78(4), pages 493-506.
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