A control chart monitoring the process capability index (PCI) using median absolute
deviation (MAD) is proposed to analyze the industrial process performance. Extensive …

This paper presents an approximate average run length (ARL) of CUSUM chart for long-
memory process by using numerical integral equation (NIE) method based on Gauss …

We study the Cumulative Sum (CUSUM) procedure when observations are from a first order
autoregressive model with exponential white noise. The objective of this paper is to present …

Using the martingale approach we find sufficient conditions for exponential boundedness of
first passage times over a level for ergodic first order autoregressive sequences. Further, we …

The purpose of this research is to develop the numerical integral equation (NIE) methods for
evaluating the average run length (ARL) on modified exponentially weighted moving …

We study optimal design of the Exponentially Weighted Moving Average (EWMA) chart by a
proper choice of the smoothing factor and the initial value (headstart) of the decision statistic …

We derive analytic approximations for the expectation of exit times of Exponentially
Weighted Moving Average (EWMA) procedure by using the martingale technique. Based on …

Exponentially weighted moving average (EWMA) procedure is a popular chart used for
detecting small shifts of parameters of distributions in quality control and surveillance …

The observations are not always identically and independently distributed (iid) in continuous
manufacturing which most observations is skewed away normal distribution. In this research …

Statistical process control (SPC) plays a necessary role in manufacturing industry
processes. An essential tool for SPC used for monitoring, measuring, controlling, and …