Among the probability density functions that estimate and project diametric distributions, Weibull function is one of most studied, percentile method an alternative approach for estimating its parameters, with different deduction methods calculating location, scale, shape parameters; in addition, these some require iteration between formulas. In this study, was used, a established parameter, as...

Many complex systems produce outcomes having recurring, power law-like distributions over wide ranges. However, the form necessarily breaks down at extremes, whereas the Weibull distribution has been demonstrated over the full observed range. Here the Weibull distribution is derived as the asymptotic distribution of generalized first-order kinetic processes, with convergence driven by autocorre...

In this paper, we consider the Bayesian analysis of the Marshall-Olkin bivariate Weibull distribution. It is a singular distribution whose marginals are Weibull distributions. This is a generalization of the Marshall-Olkin bivariate exponential distribution. It is well known that the maximum likelihood estimators of the unknown parameters do not always exist. The Bayes estimators are obtained w...

We introduce a family of statistics, based on the empirical moment generating function, for testing goodness of t to the two-parameter Weibull distribution or, equivalently, to the type I extreme value model. The asymptotic distribution of these statistics correspond to functionals of an appropriate gaussian limiting process. For one of the statistics considered, we estimate, via simulations, s...

fitting of regression models to life data, where the life distribution location parameter is a linear function of covariates. The fitting yields maximum likelihood estimates of parameters of a regression model with a Weibull, exponential, extreme value, normal, lognormal, logistic, loglogistic, or generalized gamma distribution. The data can be complete, right censored, left censored, or interv...

Many models involving combination of multiple Weibull distributions, modification of Weibull distribution or extension of its modified ones, etc. have been developed to model a given set of failure data. The application of these models to modeling a given data set can be based on plotting the data on Weibull probability paper (WPP). Of them, two or more models are appropriate to model one typic...

Monotonic and fatigue tests were carried out in four-point bending on a glass fabric/epoxy composite, using two different stress ratios. Ultimate failure both in monotonic tests and in fatigue was precipitated by microbuckling phenomena happening at the compression side of the specimens. The experimental results were evaluated adopting a fatigue model statistically implemented, based on the hyp...