Spiring, Fred A. The reflected normal loss function. (English) Zbl 0788.62089 Can. J. Stat. 21, No. 3, 321-330 (1993). Summary: The use of loss functions in quality assurance has grown steadily with the introduction of Taguchi’s philosophy [see e.g. G. Taguchi, ”Introduction to quality engineering: Designing quality into products and processes.” (1986)]. The quadratic loss function has been used by decision-theoretic statisticians and economists for many years. Taguchi uses a modified form of the quadratic loss function to demonstrate the need to consider proximity to the target while assessing quality. Several authors have suggested that the traditional loss function is inadequate for assessing quality and quality improvement. A new, easily understood loss function, based on a reflection of the normal density function, is presented, and some associated statistical properties discussed. Cited in 2 ReviewsCited in 29 Documents MSC: 62P30 Applications of statistics in engineering and industry; control charts Keywords:new loss function; asymmetric loss functions; quality assurance; quadratic loss function; quality improvement; reflection of the normal density function PDFBibTeX XMLCite \textit{F. A. Spiring}, Can. J. Stat. 21, No. 3, 321--330 (1993; Zbl 0788.62089) Full Text: DOI References: [1] Barker, T. B. (1986). Quality engineering by design: Taguchi’s philosophy. Quality Progress, December, 32-42. [2] Box, Signal to noise ratios, performance criteria and transformations, Technometrics 30 (1) pp 1– (1988) · Zbl 0721.62103 [3] Leon, A theory of performance measures in parameter design, Statist. Sinica 2 (2) pp 335– (1992) [4] Taguchi, Introduction to Quality Engineering: Designing Quality into Products and Processes. (1986) [5] Taguchi, Quality Engineering In Production Systems. (1989) [6] Tribus, M., and Szonyi, G. (1989). An alternate view of the Taguchi approach. Quality Progress, May, 46-52. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.