Statistical process monitoring (SPM) techniques have been widely used in industry for many
decades in order to assess the process stability, as well as the final product quality …

Start‐up demonstration tests were first discussed in the quality/reliability literature about
three decades ago. Since then, many variations of these tests have been introduced, and …

In this paper, we provide an overview of the use of run and scan rules in statistical process
monitoring. Although we focus on control charts, supplemented with various stop** rules …

Discrete stochastic models are tools that allow us to understand, control, and optimize
engineering systems and processes. This book provides real-life examples and illustrations …

In the present article, we propose a new control chart for monitoring high quality processes.
More specifically, we suggest declaring the monitored process out of control, by exploiting a …

The distribution of the number of trials until the first k consecutive successes in a sequence
of Bernoulli trials with success probability p is known as geometric distribution of order k. Let …

The multivariate synthetic generalized sample variance| S|(synthetic| S|) chart is a
combination of the| S| sub-chart and the conforming run length sub-chart. A procedure for …

This paper has great potential for estimating population proportion who possess stigmatized
character by using Negative binomial distribution as a randomization device. The properties …

Reliability Analysis and Plans for Successive Testing: Start-up Demonstration Tests and
Applications discusses all past and recent developments on start-up demonstration tests in …

A natural and intuitively appealing generalization of the runs principle arises if instead of
looking at fixed-length strings with all their positions occupied by successes, we allow the …