A New Two-Parameter Lifetime Distribution: Properties, Applications and Different Method of Estimations

  • Morad Alizadeh
  • Mahdi Emadi Department of Statistics, Ferdowsi University of Mashhad, Iran
  • Mahdi Doostparast Department of Statistics, Ferdowsi University of Mashhad, Iran
Keywords: Odd log-logistic, Half-Logistic distribution, Moments, Entropy, Maximum likelihood estimation


In this paper, we introduce a new two-parameter distribution which is called new Odd Log-Logistic Half-Logistic (NOLL-HL) distribution. Theoretical properties of this model including the hazard function, survival function, asymptotic, extreme value, quantile function, moments, conditional moments, mean residual life, mean past lifetime, coefficients of skewness and kurtosis, entropy and order statistics are derived and studied in details. The maximum likelihood estimates of parameters are compared with various methods of estimations by conducting a simulation study. Finally, two real data sets are illustration the purposes


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How to Cite
Alizadeh, M., Emadi, M., & Doostparast, M. (2019). A New Two-Parameter Lifetime Distribution: Properties, Applications and Different Method of Estimations. Statistics, Optimization & Information Computing, 7(2), 291-310. https://doi.org/10.19139/soic.v7i2.653
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