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Sujatha Distribution and its Applications

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  • R. Shanker

Abstract

In this paper a new one-parameter lifetime distribution named “Sujatha Distribution” with an increasing hazard rate for modelling lifetime data has been suggested. Its first four moments about origin and moments about mean have been obtained and expressions for coefficient of variation, skewness, kurtosis and index of dispersion have been given. Various mathematical and statistical properties of the proposed distribution including its hazard rate function, mean residual life function, stochastic ordering, mean deviations, Bonferroni and Lorenz curves, and stress-strength reliability have been discussed. Estimation of its parameter has been discussed using the method of maximum likelihood and the method of moments. The applications and goodness of fit of the distribution have been discussed with three real lifetime data sets and the fit has been compared with one-parameter lifetime distributions including Akash, Shanker, Lindley and exponential distributions.

Suggested Citation

  • R. Shanker, 2016. "Sujatha Distribution and its Applications," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 17(3), pages 391-410, September.
    • Handle: RePEc:csb:stintr:v:17:y:2016:i:3:p:391-410
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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. Richard L. Smith & J. C. Naylor, 1987. "A Comparison of Maximum Likelihood and Bayesian Estimators for the Three‐Parameter Weibull Distribution," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 36(3), pages 358-369, November.
    4. 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.
    5. 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.
    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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    Cited by:

    1. Tharshan Ramajeyam & Wijekoon Pushpakanthie, 2022. "Zero-modified Poisson-Modification of Quasi Lindley distribution and its application," Statistics in Transition New Series, Polish Statistical Association, vol. 23(4), pages 113-128, December.
    2. Friday Ikechukwu Agu & Joseph Thomas Eghwerido, 2021. "Agu-Eghwerido distribution, regression model and applications," Statistics in Transition New Series, Polish Statistical Association, vol. 22(4), pages 59-76, December.
    3. Lahsen Bouchahed & Halim Zeghdoudi, 2018. "A New And Unified Approach In Generalizing The Lindley’S Distribution With Applications," Statistics in Transition New Series, Polish Statistical Association, vol. 19(1), pages 61-74, March.
    4. Agu Friday Ikechukwu & Eghwerido Joseph Thomas, 2021. "Agu-Eghwerido distribution, regression model and applications," Statistics in Transition New Series, Polish Statistical Association, vol. 22(4), pages 59-76, December.
    5. Bouchahed Lahsen & Zeghdoudi Halim, 2018. "A New And Unified Approach In Generalizing The Lindley’S Distribution With Applications," Statistics in Transition New Series, Polish Statistical Association, vol. 19(1), pages 61-74, March.

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