Optimal process parameters under LINEX loss function with general input quality characteristic

被引:0
|
作者
Chad R. Bhatti
Jennifer L. Wightman
机构
[1] Tulane University,Department of Mathematics
[2] Coastal Carolina University,Department of Mathematics and Statistics
来源
Quality & Quantity | 2009年 / 43卷
关键词
Asymmetric loss function; Taguchi quality model; Gamma distribution; Double exponential distribution; Laplace distribution;
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中图分类号
学科分类号
摘要
In this paper we generalize the quality and cost trade-off problem of Chang and Hung (Qual Quant 41: 291–301, 2007) under the LINEX loss function. We consider the general input characteristic given by the random variable X with moment generating function mX(t) and output characteristic given by the deterministic transformation Y  =  g(X). The two cases we consider are when g(X) is an affine function of X and X follows (1) the gamma distribution, and (2) the double exponential distribution.
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页码:965 / 975
页数:10
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