Affiliation:
1. Programa de Pós Graduação em Biometria e Estatística Aplicada, Departamento de Estatística e Informática, Universidade Federal Rural de Pernambuco, Recife, Brazil
Abstract
Different measures of goodness-of-fit provide information to describe how
well models fit the data. However, it?s important to note that these
measures have shown modest growth in comparison to the emergence of
probability distribution models. That said, this research constructed
qualitative and quantitative fit measures for Transmuted Inverse Weibull
distribution. To develop these Goodness-of-Fit measures, we study some
properties of that distribution: we present the Mellin Transform,
Log-Moments, and Log-Cumulants. Then, we discuss estimation methods for the
model?s parameters, such as Moments, Maximum Likelihood, and the one based
on the Log-Cumulants method. The last method mentioned is proposed to
estimate the parameters of the distribution. We make the Log-Cumulants
diagrams and construct the confidence ellipses. The model is applied to
three survival datasets to verify the quality of our estimation methods and
Goodness-of-Fitmeasures
Publisher
National Library of Serbia
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