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Abstract
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Recently, Corderio et al. (2016) applied a model called odd-logistic generalized half-normal distribution for
describing fatigue lifetime data, based on this model, we propose a new wider model with a strong physical
motivation called the odd-log-logistic generalized half-normal poisson distribution which is commonly used
in reliability studies and modeling maximum of a random number of lifetime variables. Various of its
structural properties are derived. The method of maximum likelihood is adapted to estimate the model
parameters and its potentiality is illustrated with applications to two real fatigue data sets. For different
parameter settings and sample sizes, some simulation studies compare the performance of the new lifetime
model.
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