Cumulative Sum Control Charts for Truncated Normal Distributions

Rai, Gulab

doi:10.1111/j.1467-842x.1966.tb00166.x

Cited by 4 publications

(2 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A literature review revealed no papers examining a similar distribution. The sole candidate was the work of Rai (1966) who used a series of approximations to estimate the ARL for a CUSUM chart controlling a doubly truncated normal distribution. This earlier problem is not directly comparable to the work developed here.…”

Section: Introductionmentioning

confidence: 99%

Control charts for monitoring observations from a truncated normal distribution

Cox

2009

The Journal of Risk Finance

View full text Add to dashboard Cite

Purpose -The majority of quality control charts are employed for normally distributed data. In reality this assumption is not always valid. This paper aims to consider an alternative the truncated normal. Design/methodology/approach -Having derived integral equations for the average run length (ARL), a key measure of the performance of a control chart, approximate solutions are derived using Gaussian quadrature. Findings -Polynomials closely approximating the ARL for the three most popular control charts, using their usual parameterization, are obtained. Research limitations/implications -An obvious extension is to other distributions and hopefully this work will encourage real world applications. Practical implications -These charts are widely applicable within engineering, finance, medicine, environmental statistics, and many other fields. These problems are typically said to fall in the domain of risk management. It is hoped that this paper will add to the body of practitioners already employing this technique. Originality/value -Control charts are widely employed, however applications are usually restricted to the normal distribution. This is the first time it has been applied to the truncated normal distribution and original polynomials derived for the ARL.

show abstract

Section: Introductionmentioning

confidence: 99%

Control charts for monitoring observations from a truncated normal distribution

Cox

2009

The Journal of Risk Finance

View full text Add to dashboard Cite

show abstract

“…A number of authors used truncated normal distribution in statistical quality control. Rai (1966) constructed CUSUM for truncated normal distribution. Schneider (1985) studied the performance of the standard sampling plans when the variable understudy is distributed as truncated normal distribution.…”

Section: Introductionmentioning

confidence: 99%

Measurement Error Effect on the Power of Control Chart for Doubly Truncated Normal Distribution under Standardization Procedure

Chakraborty¹,

Khurshid

2015

Pak.j.stat.oper.res.

View full text Add to dashboard Cite

Researchers in various quality control procedures consider the possibility of measurement error effect on the power of control charts as an important issue. In this paper the effect of measurement errors on the power curve of standardization procedure will be studied for doubly truncated normal distribution. A method of obtaining the expression of the power of control chart for doubly truncated normal distribution is being proposed. The effect of truncation will be shown accordingly. To study the sensitivity of the monitoring procedure, average run length (ARL) is also considered.

show abstract