In this work, a three-parameter Weibull Inverse Rayleigh (WIR) distribution is proposed. The new WIR an extension of one-parameter that incorporated transformation the and Log-logistic as quantile function. statistical properties such function, order statistic, monotone likelihood ratio property, hazard, reverse hazard functions, moments, skewness, kurtosis, linear representation proposed were ...

The reliability of a component depends on the stress conditions operating environment, which are uncertainty and should be modeled as random. This article deals with estimation stress-strength parameter Weibull-Rayleigh distribution. Let X Y two independent random variables, where follow maximum likelihood estimator approximate obtained. Other properties distributions derived. Two real data app...

Although a vast amount of literature exists on the selection of an appropriate probubility distribution for annual maximum fluodflows, few studies huve examined which probability distributions ure most suitable to fit to sequences of annual minimum streamflow!;. Probabilily plots have been u!;ed widely in hydrology as a gruphicul uid to assess the goodnes!; of fu of ultemative distributions. Re...

This paper is concerned with the optimal control of a production inventory system with deteriorating items. It is assumed that the deterioration rate follows the two-parameter Weibull distribution. The continuous-review and periodic-review policies are investigated. In each case, optimality conditions are derived. Also, numerical illustrative examples are presented.

Counting processes are used in modelling of repairable systems. In Bayesian parameter inference the choice of fitted prior distributions and loss functions has great importance. This paper deals with studies of prior and posterior densities. Simulation enables comparisons of estimators obtained with different loss functions. Especially, in the case of a Weibull process, properties relative to p...

In this paper we consider the Weibull distribution as a model for technical efficiency. The distribution has a shape and scale parameter like the gamma distribution and can be a reasonable competitor in practice. The techniques are illustrated using artificial data as well as a panel of Spanish dairy farms.

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...