In this paper an attempt is made to study control charts for the mean using the shrinkage technique. The operating characteristic (OC) function and probability of the error of first kind of the control chart with symmetrical limits are calculated. The OC curves for the shrinkage technique are...

Uncertainty about the future constitutes the most difficult, but also by far the most important issue mankind is facing. The current state, which is characterized by the global warming, finance crisis and terror illustrates the fact that during the last centuries the future physical and social...

Standard control charts are constructed under the assumption that the observations taken from the process of interest are independent over time; however, in practice the observations in many cases are actually correlated. This paper considers the problem of monitoring a process in which the...

This paper presents a continuous time Markov chain (CTMC) model to obtain closed form expressions of the mean time between system failures (MTBF) for K-out-of-N:G systems subject to M exponential failure modes and repairs. The results are obtained by using explicit matrix representations of the...

In the context of reliability the stress-strength model describes the life of a component which has a random strength X and is subject to a stress Y. The component fails at the instant the stress applied to it exceeds the strength and the component will work satisfactory in case of the event...

Control charts are used to identify the presence of an assignable cause of variation in the process. The non-parametric control chart is an emerging area of development in the theory of SPC. Its main advantage is that it does not require any knowledge about the underlying distribution of the...

Particles such as dust have serious negative effects on yield, performance and reliability in the semiconductor manufacturing process. As a result, there is the need to control particles in the manufacturing process, which often is done by means of control charts. The c-chart is a control chart...

This paper introduces two techniques for computing bounds for several quantile-based risk measures based on distortion functions. Knowledge about the marginal distribution of the involved random variables is assumed with the optional assumption of some partial information about the structure of...

Many manufacturers produce and deliver large batches of small items. The delivery of an ordered number of pieces may be based on a manual count of the parts or by using scale counting. The pieces to be counted are weighted and the total weight (observed) is divided by an estimate of the average...