Estimation in the Birnbaum-Saunders distribution based on scale-mixture of normals and the EM-algorithm

Abstract

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Scale mixtures of normal (SMN) distributions are used for modeling symmetric data. Members of this family have appealing properties such as robust estimates, easy number generation, and efficient computation of the ML estimates via the EM-algorithm. The Birnbaum-Saunders (BS) distribution is a positively skewed model that is related to the normal distribution and has received considerable attention. We introduce a type of BS distributions based on SMN models, produce a lifetime analysis, develop the EM-algorithm for ML estimation of parameters, and illustrate the obtained results with real data showing the robustness of the estimation procedure.332171191Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)FONDECYT [1080326, 1090265]DIPUV [29-2006]Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)FONDECYT [1080326, 1090265]DIPUV [29-2006

    Similar works