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A Two Parameter Lindley Distribution: Its Properties and Applications

Author

Listed:
  • Shanker R

    (Department of Statistics, Eritrea Institute of Technology, Eritrea)

  • Kamlesh KK

    (Departamento de Informática, Universidad de Valladolid, Spain)

  • Fesshaye H

    (Department of Economics, College of Business and Economics, Eritrea)

Abstract

In this paper some of the mathematical and statistical properties including mean deviations, order statistics, Bonferroni and Lorenz curves, Renyi entropy measure and stress strength reliability of two-parameter Lindley distribution (TPLD) introduced by Shanker et al. [1] have been discussed. The goodness of fit of TPLD has been discussed with two real lifetime data and the fit has been compared with three parameter generalized Lindley distribution (GLD), two parameter gamma, Weibull and Lognormal distributions and one parameter exponential and Lindley distributions.

Suggested Citation

  • Shanker R & Kamlesh KK & Fesshaye H, 2017. "A Two Parameter Lindley Distribution: Its Properties and Applications," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 1(4), pages 85-90, May.
    • Handle: RePEc:adp:jbboaj:v:1:y:2017:i:4:p:85-90
    DOI: 10.19080/BBOAJ.2017.01.555570
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    References listed on IDEAS

    as
    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. A. Mishra & R. Shanker, 2013. "A two-parameter Lindley distribution," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 14(1), pages 45-56, March.
    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. Broderick O. Oluyede & Shujiao Huang & Mavis Pararai, 2014. "A New Class of Generalized Dagum Distribution with Applications to Income and Lifetime Data," Journal of Statistical and Econometric Methods, SCIENPRESS Ltd, vol. 3(2), pages 1-8.
    6. 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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