A New Long-Term Survival Distribution

Francisco Louzada and Pedro Luiz Ramos
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Francisco Louzada: Institute of Mathematical Science and Computing, University of São Paulo, Brazil
Pedro Luiz Ramos: Institute of Mathematical Science and Computing, University of São Paulo, Brazil

Biostatistics and Biometrics Open Access Journal, 2017, vol. 1, issue 5, 104-109

Abstract: In this paper a new long-term survival distribution named long term weighted Lindley distribution is proposed. This new model allows us to fit data where a part of the population is not susceptible to the event of interest. This model can be used in clinical studies where a portion of the population can be cured during a treatment. An account of mathematical properties of the new distribution is presented such as moments and survival properties. The maximum likelihood estimators (MLEs) for the parameters are presented. A numerical simulation is carried out in order to verify the performance of the MLEs. Finally, an important application related to the leukemia free-survival times for transplant patients are discussed to illustrates our proposed distribution.

Keywords: Biometrics Open Access Journal; Biostatistics and Biometrics; Biostatistics and Biometrics Open Access Journal; Open Access Journals; biometrics journal; biometrics articles; biometrics journal reference; biometrics journal impact factor; biometrics and biostatistics journal impact factor; journal of biometrics; open access juniper publishers; juniper publishers reivew (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:adp:jbboaj:v:1:y:2017:i:5:p:104-109

DOI: 10.19080/BBOAJ.2017.01.555574

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