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The Marshall-Olkin Weibull Truncated Negative Binomial Distribution and its Applications

Author

Listed:
  • Bindu Krishnan

    (Bharathiar University, Coimbatore)

  • Dais

    (Catholicate College, Pathanamthitta)

Abstract

The Weibull distribution is one of the widely known lifetime distribution that has been extensively used for modelling data in reliability and survival analysis. A generalization of both the Marshall-OlkinWeibull distribution and the Weibull truncated negative binomial distribution is introduced and studied in this article. Various distributional properties of the new distribution are derived. Estimation of model parameters using the method of maximum likelihood is discussed. Applications to a real data set is provided to show the flexibility and potentiality of the new distribution over other Weibull models. The first order autoregressive minification process with the new distribution as marginal is also developed. We hope that the new model will serve as a good alternative to other models available in the literature for modeling positive real data in several areas.

Suggested Citation

  • Bindu Krishnan & Dais, 2019. "The Marshall-Olkin Weibull Truncated Negative Binomial Distribution and its Applications," Statistica, Department of Statistics, University of Bologna, vol. 79(3), pages 247-265.
    • Handle: RePEc:bot:rivsta:v:79:y:2019:i:3:p:247-265
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    Cited by:

    1. Isidro Jesús González-Hernández & Rafael Granillo-Macías & Carlos Rondero-Guerrero & Isaías Simón-Marmolejo, 2021. "Marshall-Olkin distributions: a bibliometric study," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(11), pages 9005-9029, November.

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