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

Authors

  • Bindu Krishnan Bharathiar University
  • Dais George Catholicate College, Pathanamthitta

DOI:

https://doi.org/10.6092/issn.1973-2201/7496

Keywords:

Autoregressive model, Hazard rate, Marshall-Olkin distribution, Minification process, Renyi entropy, Shannon entropy, Weibull distribution

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.

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Published

2019-11-06

How to Cite

Krishnan, B., & George, D. (2019). The Marshall-Olkin Weibull Truncated Negative Binomial Distribution and its Applications. Statistica, 79(3), 247–265. https://doi.org/10.6092/issn.1973-2201/7496

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Articles