Monitoring inhomogeneous Poisson processes with varying sample sizes has attracted considerable attention recently in both industrial quality control and public health surveillance. One of the key challenges in these applications is that a change in incidence rate may be masked by changes of sample sizes. The conventional Poisson cumulative sum (CUSUM) chart designed for detecting a pre-specifi...

PURPOSE The cumulative sum (CUSUM) is proposed and tested in a group of glaucoma patients and healthy subjects as a method for monitoring disease progression and for identifying clinically significant step changes in visual structure or function. METHODS The CUSUM procedure is the recommended method for the timely detection of small step changes in manufacturing process control. The CUSUM pro...

Control charts for monitoring of process variance are developed based on Shewhart, exponentially weighted moving average (EWMA) and cumulative sum (CUSUM) control charts for mean. In all these variance control charts, log transformation of the sample variance is used. The design procedure of this chart is complex and it is poorly understood by the industry. In this paper a EWMA chart for monito...

Industrial production requires multivariate control charts to enable monitoring of several components. Recently there has been an increased interest also in other areas such as detection of bioterrorism, spatial surveillance and transaction strategies in finance. In the literature, several types of multivariate counterparts to the univariate Shewhart, EWMA and CUSUM methods have been proposed. ...

Control charts (CCs) are one of the main tools in Statistical Process that have been widely adopted manufacturing sectors as an effective strategy for malfunction detection throughout previous decades. Measurement errors (M.E’s) involved quality characteristic interest, which can effect CC’s performance. The authors explored impact a linear model with additive covariate M.E on multivariate cumu...

When data consist of patients with a specific risk to develop an health event and we are interested in monitoring the incidence rate of this event, the standard Bernoulli CUSUM fails and a risk-adjustment needs. The risk-adjusted CUSUM chart proposed by Steiner et al. (2000) shows some limitations. To overcome these limits a simple risk-adjusted CUSUM is proposed and it may be considered a gene...

The accuracy of the measurement system is vital for reliable process monitoring using statistical control charts. applied chart’s effectiveness depends on system's performance. Measurement uncertainty can lead to incorrect decisions like unnecessary stops or failure intervene. In this paper, we investigated effect errors performance four well-established combined charts mean normally distribute...

The cumulative sum (CUSUM) control chart can sensitively detect small-to-moderate shifts in the process mean. average run length (ARL) is a popular technique used to determine performance of chart. Recently, several researchers investigated processes on CUSUM by evaluating ARL using either Monte Carlo simulation or Markov chain. As these methods only yield approximate results, we developed solu...