Zastosowanie estymacji jądrowej do monitorowania procesu o nieznanym rozkładzie

• Authors: Magdalena Chmielińska

Title variants

EN

The Use of the Kernel Estimation for Monitoring Processes with Unknown Distributions

• Languages of publication: PL

Abstracts

EN

The control chart is a tool of statistical quality control, which is widely used in factories. The fulfillment of its basic assumptions ensures faultless assessing the monitored process. Infringements the assumptions of classical control charts can cause false signals in the case of a regulated process, either lack of signal or the signal delayed in time, when process is out-of-control. Incorrect assessment of the accuracy of the manufacturing process is of course the economic impact. In this paper, based on actual data an attempt to determine control limits for the manufacturing process of the distribution of the controlled characteristics, which is significantly different from a normal distribution, was taken. The result of this work is the method of determining the control limits based on the quantile of a random variable estimated by the kernel estimation. The article pays attention to the economic consequences of infringements the assumptions of classical control charts.

Keywords

PL

Estymacja; Karty kontrolne; Kontrola produkcji; Monitorowanie procesów; Proces produkcji

EN

Control charts; Estimation; Process monitoring; Production control; Production process

• Publisher: Uniwersytet Ekonomiczny w Katowicach
• Journal: Studia Ekonomiczne
• Year: 2014
• Volume: 203
• Pages: 39-49

Contributors

author

Magdalena Chmielińska

References

• Chakraborti S., Laan P. van der, Wiel M.A. van de (2004): A Class of Distribution-free Control Charts. "Journal of the Royal Statistical Society", No. 3, Vol. 53, s. 443-462.
• Domański Cz., Pruska K. (2000): Nieklasyczne metody statystyczne. PWE, Warszawa.
• Grant E.L. (1972): Statystyczna kontrola jakości. PWE, Warszawa.
• Kończak G. (2007): Metody statystyczne w sterowaniu jakością produkcji. Wydawnictwo Akademii Ekonomicznej, Katowice.
• Wegman E.J. (1972): Nonparametric Probability Density Estimation: I. A Summary of Available Methods. "Technometrics", No. 3, Vol. 14, s. 533-546.

Identifiers

ISSN

2083-8611