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Negative Binomial–Lindley Cure Rate Model

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Abstract

This paper propose a new cure rate survival model named the negative binomial–Lindley cure rate model by assuming that the number of competing causes of the event of interest follows the negative binomial distribution, and that the time to the event of interest has a Lindley distribution. The new model includes some cure rate models as special cases. Further, the cure rate regression model, which includes covariate information and parameters estimation for the proposed models are derived. In addition, this work also proposes the negative binomial–Lindley distribution as a new mixted lifetime distribution which is derived from the new cure rate survival model. Random variable generation and parameter estimation of the negative binomial–Lindley distribution are obtained. We illustrate the usefulness of the proposed cure rate survival model with covariate information for analysis of a real medical dataset.

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Authors and Affiliations

  1. Faculty of Science, Chandrakasem Rajabhat University, 10900, Bangkok, Thailand

    Wasinrat Sirithip

  2. Faculty of Science and Technology, Suan Sunandha Rajabhat University, 10300, Bangkok, Thailand

    Pudprommarat Chookait

Authors
  1. Wasinrat Sirithip
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  2. Pudprommarat Chookait
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Correspondence to Wasinrat Sirithip or Pudprommarat Chookait.

Additional information

(Submitted by A. I. Volodin)

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Sirithip, W., Chookait, P. Negative Binomial–Lindley Cure Rate Model. Lobachevskii J Math 42, 3230–3240 (2021). https://doi.org/10.1134/S199508022201019X

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  • DOI: https://doi.org/10.1134/S199508022201019X

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