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A new class of distribution having decreasing, increasing, and bathtub-shaped failure rate

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  • S. K. Maurya
  • A. Kaushik
  • S. K. Singh
  • U. Singh

Abstract

In this article, we propose a new class of distribution which is based on the concept of exponentiated generalization with some modification so as to provide a better result in terms of flexibility. Our proposed distribution accommodates various shapes of hazard rate including the bathtub. Exponential distribution has been taken as the baseline distribution. Various statistical properties of the proposed distribution have been studied. We have used the method of maximum likelihood for estimation of the parameters of the proposed model. Last, we have analyzed four real datasets to illustrate the flexibility of the model in comparison to eight existing well-known distributions.

Suggested Citation

  • S. K. Maurya & A. Kaushik & S. K. Singh & U. Singh, 2017. "A new class of distribution having decreasing, increasing, and bathtub-shaped failure rate," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(20), pages 10359-10372, October.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:20:p:10359-10372
    DOI: 10.1080/03610926.2016.1235196
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    Cited by:

    1. Sandeep Kumar Maurya & Saralees Nadarajah, 2021. "Poisson Generated Family of Distributions: A Review," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(2), pages 484-540, November.
    2. Teena Goyal & Piyush K. Rai & Sandeep K. Maurya, 2020. "Bayesian Estimation for GDUS Exponential Distribution Under Type-I Progressive Hybrid Censoring," Annals of Data Science, Springer, vol. 7(2), pages 307-345, June.
    3. Muhammed Rasheed Irshad & Christophe Chesneau & Soman Latha Nitin & Damodaran Santhamani Shibu & Radhakumari Maya, 2021. "The Generalized DUS Transformed Log-Normal Distribution and Its Applications to Cancer and Heart Transplant Datasets," Mathematics, MDPI, vol. 9(23), pages 1-22, December.
    4. Luis Carlos Méndez-González & Luis Alberto Rodríguez-Picón & Manuel Iván Rodríguez Borbón & Hansuk Sohn, 2023. "The Chen–Perks Distribution: Properties and Reliability Applications," Mathematics, MDPI, vol. 11(13), pages 1-19, July.

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