Bayesian analysis of the inverse generalized gamma distribution using objective priors
Pedro Luiz Ramos, Alex L. Mota, Paulo H. Ferreira, Eduardo Ramos, Vera Tomazella, Francisco Louzada
Abstract
The inverse generalized gamma (IGG) distribution can be particularly useful for modelling reliability (survival) data with an upside-down bathtub hazard rate function. The mathematical properties and estimation methods are not known in the literature. In this paper, we provide Bayesian inferences for the IGG distribution parameters using non-informative priors, namely, the Jeffreys prior and the reference prior. Extensive numerical simulations are conducted to investigate the performance of the proposed estimation method when compared with the classical inference. Finally, the potentiality of the IGG model is analysed by employing real environmental data.