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A two-parameter Lindley distribution

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  • A. Mishra
  • R. Shanker

Abstract

A two-parameter Lindley distribution, of which the Lindley distribution (LD) is a particular case, has been introduced. Its moments, failure rate function, mean residual life function and stochastic orderings have been discussed. The maximum likelihood method and the method of moments have been discussed for estimating its parameters. The distribution has been fitted to some data-sets to test its goodness of fit.

Suggested Citation

  • 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.
    • Handle: RePEc:csb:stintr:v:14:y:2013:i:1:p:45-56
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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. & Alqallaf, F. & Al-Mutairi, D.K. & Husain, H.A., 2011. "A two-parameter weighted Lindley distribution and its applications to survival data," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(6), pages 1190-1201.
    3. 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.
    4. 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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    Cited by:

    1. 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.
    2. Rama Shanker, 2016. "Sujatha Distribution And Its Applications," Statistics in Transition New Series, Polish Statistical Association, vol. 17(3), pages 391-410, September.
    3. Rama Shanker & Kamlesh Kumar Shukla & Amarendra Mishra, 2017. "A Three-Parameter Weighted Lindley Distribution And Its Applications To Model Survival Time," Statistics in Transition New Series, Polish Statistical Association, vol. 18(2), pages 291-310, June.
    4. R. Shanker, 2016. "Sujatha Distribution and its Applications," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 17(3), pages 391-410, September.
    5. Shanker Rama & Shukla Kamlesh Kumar & Mishra Amarendra, 2017. "A Three-Parameter Weighted Lindley Distribution and its Applications to Model Survival Time," Statistics in Transition New Series, Statistics Poland, vol. 18(2), pages 291-310, June.
    6. Shanker Rama, 2016. "Sujatha Distribution and its Applications," Statistics in Transition New Series, Statistics Poland, vol. 17(3), pages 391-410, September.

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