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A new model for describing remission times: the generalized beta-generated Lindley distribution

Overview of attention for article published in Anais da Academia Brasileira de Ciências, September 2017
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Title
A new model for describing remission times: the generalized beta-generated Lindley distribution
Published in
Anais da Academia Brasileira de Ciências, September 2017
DOI 10.1590/0001-3765201720160455
Pubmed ID
Authors

MARIA DO CARMO S. LIMA, GAUSS M. CORDEIRO, ABRAÃO D.C. NASCIMENTO, KÁSSIO F. SILVA

Abstract

New generators are required to define wider distributions for modeling real data in survival analysis. To that end we introduce the four-parameter generalized beta-generated Lindley distribution. It has explicit expressions for the ordinary and incomplete moments, mean deviations, generating and quantile functions. We propose a maximum likelihood procedure to estimate the model parameters, which is assessed through a Monte Carlo simulation study. We also derive an additional estimation scheme by means of least square between percentiles. The usefulness of the proposed distribution to describe remission times of cancer patients is illustrated by means of an application to real data.

Mendeley readers

The data shown below were compiled from readership statistics for 4 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 4 100%

Demographic breakdown

Readers by professional status Count As %
Professor 1 25%
Researcher 1 25%
Lecturer 1 25%
Unknown 1 25%
Readers by discipline Count As %
Mathematics 1 25%
Computer Science 1 25%
Unknown 2 50%