Abstract Statistical Process Control (SPC) has been established in many industries over the last decades. Particularly, the automotive industry including its suppliers of components is responsible for the spread of SPC supported by different norms. By means of process capability indices the...

Abstract Any random variable X describing a real phenomenon has necessarily a bounded range of variability implying that the values of the moments determine the probability distribution uniquely. In fact, the range of variability of a random variable restricts the range of the first moment; the...

Abstract The Jelinski-Moranda (JM) model for software failures was one of the first models used for analyzing software reliability. Later Moranda proposed a modification of the JM model, labeled Geometric de-Eutrophication model. In the Moranda Geometric de-Eutrophication model, N ( t ) is...

Abstract The reliability of a system is often referred to as a quality index reflecting the capability of the system to complete the specified function within specified time in reasonably satisfactory manner under the specified conditions (including hard conditions: say, operating environments,...

Abstract Statistical process control procedures are usually implemented under the assumption that the observations from a process are independent over time. However, this assumption is often violated. Therefore, we propose a single Shewhart-type control chart for autocorrelated process by...

Abstract The reduction of run length variability has received little attention in the statistical process control literature. This note proposes a modification of the signal rule for the EWMA control chart resulting in a reasonable reduction of run length variability.

Abstract In the present paper we discuss the problem of estimating the survival function R ( x ) = P ( X x ) of the Pareto distribution, when the sample contains discordant observations. Bayes point estimates and credible intervals are obtained by assuming exchangeable and identifiable models...

Abstract When evaluating point estimators by means of general loss functions, the expected loss is not always minimal, similar to the case of mean-biased estimators, whose mean squared error can be reduced by accounting for the mean-bias. Depending on the loss function, the socalled Lehmann-bias...

Abstract Most of the component level reliability test plans that are available in literature have been developed for series and parallel systems under the assumption that components have constant failure rates. Here an attempt is made to construct a test plan for a parallel system with the...

Abstract This paper presents a Bayesian approach to the estimation of the reliability of a parallel system with k components. It is assumed that the strengths of the k components are subjected to a common stress which is independent of the strengths of the k components. The reliability of the...