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arXiv · 1709.07593

The Long Term Fr\'echet distribution: Estimation, Properties and its Application

Pedro Luiz Ramos·Diego Nascimento·Francisco Louzada
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Abstract

In this paper a new long-term survival distribution is proposed. The so called long term Fr\'echet distribution allows us to fit data where a part of the population is not susceptible to the event of interest. This model may be used, for example, in clinical studies where a portion of the population can be cured during a treatment. It is shown an account of mathematical properties of the new distribution such as its moments and survival properties. As well is presented the maximum likelihood estimators (MLEs) for the parameters. 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

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Pedro Luiz Ramos, Diego Nascimento, Francisco Louzada. 2017-09-22. The Long Term Fr\'echet distribution: Estimation, Properties and its Application. https://doi.org/10.15406/bbij.2017.06.00170

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