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Marshall-Olkin Half Logistic Distribution with Theory and Applications

Author

Listed:
  • Diren Yeğen
  • Gamze Özel

Abstract

In this study we present a new distribution named as Marshall-Olkin Half Logistic (MOHL) by extending half logistic distribution to increase the flexibility. We derive some fundamental properties including survival function, hazard rate function, skewness, kurtosis, order statistics and entropy function. Parameters are estimated using maximum likelihood estimation method to fit new model. Then, a simulation study is conducted to show the performance of the proposed model

Suggested Citation

  • Diren Yeğen & Gamze Özel, 2018. "Marshall-Olkin Half Logistic Distribution with Theory and Applications," Alphanumeric Journal, Bahadir Fatih Yildirim, vol. 6(2), pages 407-416, December.
    • Handle: RePEc:anm:alpnmr:v:6:y:2018:i:2:p:407-416
    DOI: http://dx.doi.org/10.17093/alphanumeric.409992
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    References listed on IDEAS

    as
    1. Nanda, Asok K. & Das, Suchismita, 2012. "Stochastic orders of the Marshall–Olkin extended distribution," Statistics & Probability Letters, Elsevier, vol. 82(2), pages 295-302.
    2. Chrys Caroni, 2010. "Testing for the Marshall–Olkin extended form of the Weibull distribution," Statistical Papers, Springer, vol. 51(2), pages 325-336, June.
    3. Gupta, Ramesh C. & Peng, Cheng, 2009. "Estimating reliability in proportional odds ratio models," Computational Statistics & Data Analysis, Elsevier, vol. 53(4), pages 1495-1510, February.
    4. Gupta, Ramesh C. & Lvin, Sergey & Peng, Cheng, 2010. "Estimating turning points of the failure rate of the extended Weibull distribution," Computational Statistics & Data Analysis, Elsevier, vol. 54(4), pages 924-934, April.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Entropy; Half Logistic Distribution; Maximum Likelihood Estimation; Order Statistics; Simulation;
    All these keywords.

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory

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