Important distributions used to model and analyse data in various real-life sciences such as natural sciences, engineering, medicine are the Weibull distribution, exponential Rayleigh distribution. The main objective of this paper is determine best evaluators compare them for distribution with three-parameters Weibull, Exponential Weibull. methods under consideration comparing parameter estimat...

Control charts are widely used for process monitoring. Software reliability process can be monitored efficiently by using Statistical Process Control (SPC). It assists the software development team to identify failures and actions to be taken during software failure process and hence, assures better software reliability. In this paper we propose a control mechanism based on the cumulative quant...

Abstract. The paper considers recent approaches to testing homogeneity in a finite mixture model, the modified likelihood ratio test (MLRT) of Chen et al. (2001) and the D-tests of Charnigo and Sun (2004). They are adapted to Weibull mixtures with and without a Weibull-to-exponential transformation of the data. Critical quantiles are calculated by simulation. To cope with the dependency of quan...

This study proposes a new repetitive group sampling plan by attributes based on truncated life test under the Weibull distributions with known shape parameter. The constrained optimization problem is formulated as a nonlinear integer programming to determine the sample size and the acceptance criterion of the proposed plan. The objective function to be minimized is the average sample number, wh...

In this article, we introduce a method for monitoring the Weibull shape parameter β with type II (failure) censored data. The control limits depend on the sample size, the number of censored observations, the target average run length, and the stable value of β. The method assumes that the scale parameter α is constant during each sampling period, which is true under rational subgrouping. The p...

A method is described for the calculation of the three-parameter Weibull distribution function from censored samples. The method introduces a data driven technique based on an adapted Gaussian like kernel to match the censoring scheme. The method minimizes the Cramer von Mises distance from a non-parametric density estimate and the parametric estimate at the order statistics. The maximum likeli...

In this paper, we analyze the outage probability of a multibranch selection combining (SC) based on the signal to interference ratio (SIR) over Weibull fading channels in case of non-identical power distribution per branches. Both, desired and interference signal envelopes are exponentially correlated Weibull random variables. Also, an analysis of effects of fading parameter β, correlation coef...