Probability distributions and variances of quadratic loss functions

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Tarih

2006

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Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

The use of quadratic loss functions has been advocated in quality engineering and experimental design for process optimization and robust design. We derive theoretical density functions and variances for nominal-the-best, smaller-the-better, and larger-the-better quadratic loss functions in general and when the response variable has a specified distribution. While considerable attention has been given to individual and mean loss, in some applications it is of interest also to know something about the loss distribution and variance. Results frequently exhibit high variance and skew and unique density functions in cases for which it is not advisable to base decisions on expected loss alone.

Açıklama

Anahtar Kelimeler

Design, Expected loss, Factor settings, Industrial engineering, Loss distribution, Loss functions, Optimization, Probability distributions, Quadractic loss functions, Quadratic loss functions, Quality engineering, Robust designs, Taguchi, Taguchi methods, Theoretical density

Kaynak

36th International Conference on Computers and Industrial Engineering, ICC and IE 2006

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N/A

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Sayı

Künye

Benneyan, J. C. & Aksezer, S. Ç. (2006). Probability distributions and variances of quadratic loss functions. Paper at the, 2890-2899.