Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. In practice, lifetime performance index CL is a popular means to assess the performance and potential of their processes, where L is the lower specification limit. Nevertheless, many processes possess a non-normal lifetime model, the assumption of normality is ...

The principle of maximum entropy, along with empirical considerations, can provide consistent basis for constructing a consistent probability distribution model for highly varying geophysical processes. Here we examine the potential of using this principle with the Boltzmann-Gibbs-Shannon entropy definition in the probabilistic modelling of rainfall in different areas worldwide. We define and t...

The Moore and Bilikam family includes lifetime distributions, hence there is a need for meticulous investigation of the proposed family. We evaluate different estimation procedures both parameters reliability function comprehensively, including maximum likelihood, Bayesian E-Bayesian methods. methods are compared via simulation data, whereas results Burr XII sub-model reported. Based on approac...

In this paper, we modify the Burr-XII distribution through inverse exponential scheme to obtain a new two-parameter on unit interval called distribution. The basic statistical properties of newly defined are studied. Parameters estimation is dealt and different methods assessed two simulation studies. A quantile regression model based proposed introduced. Applications its real data sets show th...

A new distribution called the Lindley-Burr XII (LBXII) is proposed and studied. Some structural properties of including moments, conditional order statistics R´enyi entropy are derived. Maximum likelihood estimation technique used to estimate model parameters. simulation study examine bias mean square error maximum estimators presented applications real data sets in illustrate usefuln...

Estimators of the reliability function in a GLM (generalized life model) are considered. The class of the GLM includes (among others) the Weibull, Pareto, Beta, Gompertz, and Rayleigh distribution. A proper general prior density and the predictive function for general class of distribution proposed by Al-Hussaini [1] are used to obtain the exact estimate. Also, the Bayes estimates relative to s...

We propose a new four-parameter lifetime model with flexible hazard rate called the Burr XII Power Cauchy (BXII-PC) distribution. derive BXII-PC distribution via (ⅰ) T-X family technique and (ⅱ) nexus between exponential gamma variables. The proposed is as it has famous sub-models such XII-half Cauchy, Lomax-power Lomax-half Log-logistic-power log-logistic-half Cauchy. failure functi...

Many authors have presented studies of multi-choice stochastic transportation problem (MCSTP) where availability and demand parameters follow a particular probability distribution (such as exponential, weibull, cauchy or extreme value). In this paper an MCSTP is considered where availability and demand parameters follow general form of distribution and a generalized equivalent deterministic mod...