The Long Term Fr\'echet distribution: Estimation, Properties and its Application
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
Cite
@article{arxiv.1709.07593,
title = {The Long Term Fr\'echet distribution: Estimation, Properties and its Application},
author = {Pedro Luiz Ramos and Diego Nascimento and Francisco Louzada},
journal= {arXiv preprint arXiv:1709.07593},
year = {2017}
}
Comments
13 pages, 2 figures, 7 tables