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A New Two-Parameter Lifetime Model

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Abstract

A new two parameter life time model, which accommodates increasing, decreasing, bathtub, and a broad variety of monotone failure rates, has been introduced in this article. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, moment of residual and reversed residual lives have been derived. The maximum likelihood has been proposed for estimating the model parameters. The importance and flexibility of the new distribution has been illustrated by means of an applications to real data set supported by a Monte-Carlo simulation study.

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Acknowledgements

The authors would like to thank the editor and the anonymous referees for their careful reading of the article and for their valuable suggestions that have improved the paper.

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Authors and Affiliations

  1. Department of Statistics, Mathematics and Insurance, Benha University, Benha, Egypt

    Haitham M. Yousof

  2. Department of Measurement and Evaluation, Artvin Çoruh University, Artvin, Turkey

    Mustafa Ç. Korkmaz

  3. Alliance School of Business, Alliance University, Bengaluru, India

    Subhradev Sen

Authors
  1. Haitham M. Yousof
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  2. Mustafa Ç. Korkmaz
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  3. Subhradev Sen
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Correspondence to Mustafa Ç. Korkmaz.

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Yousof, H.M., Korkmaz, M.Ç. & Sen, S. A New Two-Parameter Lifetime Model. Ann. Data. Sci. 8, 91–106 (2021). https://doi.org/10.1007/s40745-019-00203-w

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  • DOI: https://doi.org/10.1007/s40745-019-00203-w

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