Control Charts for the Shape Parameter of Skewed Distribution

@article{Zaka2021ControlCF,
  title={Control Charts for the Shape Parameter of Skewed Distribution},
  author={Azam Zaka and Riffat Jabeen and Kanwal Iqbal Khan},
  journal={Intelligent Automation \& Soft Computing},
  year={2021}
}
The weighted distributions are useful when the sampling is done using an unequal probability of the sampling units. The Weighted Power function distribution (WPFD) has applications in the fields of reliability engineering, management sciences and survival analysis. WPFD is more beneficial in Statistical process control (SPC). SPC is defined as the use of statistical techniques to control a process or production method. SPC tools and procedures can help to monitor process behaviour, discover… 
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References

SHOWING 1-10 OF 18 REFERENCES

Development and Evaluation of Control Charts Using Double Exponentially Weighted Moving Averages

The double exponentially weighted moving average (DEWMA), which is known in the literature as Brown′s one‐parameter linear method for forecasting is proposed as a control tool for process monitoring…

Mixed Exponentially Weighted Moving Average–Cumulative Sum Charts for Process Monitoring

A mixed EWMA–CUSUM control chart for detecting a shift in the process mean is proposed and it is revealed that mixing the two charts makes the proposed scheme even more sensitive to the small shifts inThe process mean than the other schemes designed for detecting small shifts.

Robustness of the EWMA median control chart to non-normality

The control charts with exponentially weighted moving average (EWMA) had been shown to be effective for detecting small shifts in the mean of the process characteristic. When the data depart from…

EWMA Control Chart Performance with Estimated Parameters under Non‐normality

A Markov chain approach is used to model and evaluate performance of EWMA control charts when parameter estimation is subject to non-normality using skewed and heavy-tailed symmetric distributions.

Monitoring the ratio of two normal variables using variable sampling interval exponentially weighted moving average control charts

We investigate in this paper a new type of control chart called VSI EWMA‐RZ by integrating the variable sampling interval feature (VSI) with the exponentially weighted moving average (EWMA) scheme to…

The performance of semi-empirical Bayesian control charts for monitoring Weibull data

Abstract In this paper we investigate the performance of semi-empirical Bayesian control charts to monitor the percentiles and the shape parameter of a Weibull distribution. These charts have been…

A New Hybrid Exponentially Weighted Moving Average Control Chart for Monitoring Process Mean

  • A. Haq
  • Business
    Qual. Reliab. Eng. Int.
  • 2013
A new hybrid EWMA (HEWMA) control chart is proposed by mixing two EWMA control charts, which detects smaller shifts substantially quicker than the classical CUSUM, classical EWMA and mixed EWMA–CUSUM control charts.

A robust multivariate sign control chart for detecting shifts in covariance matrix under the elliptical directions distributions

Abstract Most existing control charts monitoring the covariance matrix of multiple variables were restricted to multivariate normal distribution. When the process distribution is non-normal, the…

Design of a Control Chart Using Extended EWMA Statistic

In the present paper, we propose a control chart based on extended exponentially weighted moving average (EEWMA) statistic to detect a quick shift in the mean. The mean and variance expression of the…

Rank-based EWMA procedure for sequentially detecting changes of process location and variability

This paper presents a study of a new procedure, which is based on integrating a powerful nonparametric test for the two-sample problem and EWMA control scheme to online sequential monitoring, and is quite robust to nonnormally distributed data.