Mathematics (Sep 2023)

Slash-Weighted Lindley Distribution: Properties, Inference, and Applications

  • Jaime S. Castillo,
  • Inmaculada Barranco-Chamorro,
  • Osvaldo Venegas,
  • Héctor W. Gómez

DOI
https://doi.org/10.3390/math11183980
Journal volume & issue
Vol. 11, no. 18
p. 3980

Abstract

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The slash-weighted Lindley model is introduced due to the need to obtain a model with more kurtosis than the weighted Lindley distribution. Several expressions for the pdf of this model are given. Its cumulative distribution function is expressed in terms of a generalized hypergeometric function and the incomplete gamma function. Moments and maximum likelihood estimation were studied. A simulation study was carried out to illustrate the good performance of the estimates. Finally, two real applications are included.

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