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Concept of the One-Sided Variance with Applications
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 Title & Authors
Concept of the One-Sided Variance with Applications
Park, Hyo-Il;
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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 , 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.
Asymmetry;control chart;process capability index;
 Cited by
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Bond, S. A. and Satchell, S. E. (2002). Statistical properties of sample semi-variance, Applied Mathematical Finance, 9, 219-239. crossref(new window)

Chung, K. L. (1974). A Course in Probability Theory, 2nd Ed. Academic Press, New York.

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. crossref(new window)

Park, S. H. and Park, Y. H. (2005). Statistical Quality Control, 3rd Ed., Min-Young Press, Seoul, Korea.