Um breve estudo da Distribuição Nadarajah-Haghighi e avaliação do desempenho dos estimadores dos parâmetros

Abstract

The Nadarajah-Haghighi distribution emerged as an alternative to the Weibull, gamma and exponential exponential distributions, and can have as a particular case the exponential distribution, one of the most applied in areas such as health and engineering, for example. The objective of the work is to present the main characteristics of this new distribution, its properties and inferential aspects, and the behavior of the distribution from the perspective of survival analysis, in addition to its applicability in data with a high frequency of zeros, being its main differentiating aspect. Introductory concepts of survival analysis will be presented, such as the failure rate function and the graphical behavior of this function known as the bathtub curve. Next, the fundamental characteristics of the new Nadarajah-Haghighi distribution, the parametric estimation using the maximum likelihood method and the methodology used in data simulation will be presented. Finally, the results will be presented to evaluate the performance of the parameter estimators of this new distribution.