doi:10.3850/978-981-08-5118-7_040


Performance Measures for Robust Design and its Applications


Toshihiko Kawamura

The Institute of Statistical Mathematics, Department of Data Science, Risk Analysis Research Center, 10-3 Midori-cho, Tachikawa, Tokyo 190-8562, Japan.

kawamura@ism.ac.jp

ABSTRACT

Taguchi methods are widely used for parameter design to make products more robust to variations of environmental conditions. Taguchi proposed various performance measures known as Signal-to-Noise (SN) ratios for evaluating the performance of signal-response systems. However, the SN ratios do not always minimize quadratic loss.

In this paper, we describe a generalized SN ratio based on average log quadratic loss and K loss. This SN ratio is an equivalent of a performance measure for evaluating a variation related to the dispersion parameter for data with positive values.

Keywords: Loss function, Robust design, Signal-to-noise ratio, Taguchi method.



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