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http://dx.doi.org/10.5351/CKSS.2012.19.5.743

Concept of the One-Sided Variance with Applications  

Park, Hyo-Il (Department of Statistics, Chongju University)
Publication Information
Communications for Statistical Applications and Methods / v.19, no.5, 2012 , pp. 743-750 More about this Journal
Abstract
In this study, we propose definitions for the one-sided variance for asymmetric distribution. We consider to apply the one-sided variance to the construction to define modified $C_{pk}$, which is a definition for the process capability index for the asymmetric process distribution. Then we consider to obtain the consistent estimation for the one-sided variance and to apply to the various industrial fields.
Keywords
Asymmetry; control chart; process capability index;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Chung, K. L. (1974). A Course in Probability Theory, 2nd Ed. Academic Press, New York.
2 Park, H. I. (2011). A modified definition on the process capability index $C_{pk}$ based on median, Communications in Korean Statistical Society, 18, 527-535, 286-297.   과학기술학회마을   DOI   ScienceOn
3 Park, S. H. and Park, Y. H. (2005). Statistical Quality Control, 3rd Ed., Min-Young Press, Seoul, Korea.
4 Bond, S. A. and Satchell, S. E. (2002). Statistical properties of sample semi-variance, Applied Mathematical Finance, 9, 219-239.   DOI
5 Bickel, P. J. and Doksum, K. A. (1977). Mathematical Statistics-Basic Ideas and Selected Topics, Holden-Day, San Francisco, California.