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The Long Term Fréchet Distribution: Estimation, Properties and Its Application

Pedro Luiz Ramos
2017 Biometrics & Biostatistics International Journal  
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
more » ... ximum 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
doi:10.15406/bbij.2017.06.00170 fatcat:pt4duqjyvjculo5a6f5vxz7lka