Generalized modified slash Birnbaum-Saunders distribution
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Fecha
2018
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MDPI
Resumen
In this paper, a generalization of the modified slash Birnbaum–Saunders (BS) distribution is
introduced. The model is defined by using the stochastic representation of the BS distribution, where
the standard normal distribution is replaced by a symmetric distribution proposed by Reyes et al. It is
proved that this new distribution is able to model more kurtosis than other extensions of BS previously
proposed in the literature. Closed expressions are given for the pdf (probability density functio),
along with their moments, skewness and kurtosis coefficients. Inference carried out is based on
modified moments method and maximum likelihood (ML). To obtain ML estimates, two approaches
are considered: Newton–Raphson and EM-algorithm. Applications reveal that it has potential for
doing well in real problems.
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Birnbaum–Saunders distribution, generalized modified slash distribution, kurtosis, maximum likelihood, EM-algorithm