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The inverse power Lindley distribution in the presence of left-censored data

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Listed:
  • Emílio A. Coelho-Barros
  • Josmar Mazucheli
  • Jorge A. Achcar
  • Kelly Vanessa Parede Barco
  • José Rafael Tovar Cuevas

Abstract

In this study, classical and Bayesian inference methods are introduced to analyze lifetime data sets in the presence of left censoring considering two generalizations of the Lindley distribution: a first generalization proposed by Ghitany et al. [Power Lindley distribution and associated inference, Comput. Statist. Data Anal. 64 (2013), pp. 20–33], denoted as a power Lindley distribution and a second generalization proposed by Sharma et al. [The inverse Lindley distribution: A stress–strength reliability model with application to head and neck cancer data, J. Ind. Prod. Eng. 32 (2015), pp. 162–173], denoted as an inverse Lindley distribution. In our approach, we have used a distribution obtained from these two generalizations denoted as an inverse power Lindley distribution. A numerical illustration is presented considering a dataset of thyroglobulin levels present in a group of individuals with differentiated cancer of thyroid.

Suggested Citation

  • Emílio A. Coelho-Barros & Josmar Mazucheli & Jorge A. Achcar & Kelly Vanessa Parede Barco & José Rafael Tovar Cuevas, 2018. "The inverse power Lindley distribution in the presence of left-censored data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 45(11), pages 2081-2094, August.
  • Handle: RePEc:taf:japsta:v:45:y:2018:i:11:p:2081-2094
    DOI: 10.1080/02664763.2017.1410525
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