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Title: The inverted beta loss function : properties and applications
Authors: Leung, BP 
Spiring, FA
Issue Date: 2002
Publisher: Springer
Source: IIE transactions, 2002, v. 34, no. 12, p. 1101-1109 How to cite?
Journal: IIE transactions
Abstract: In this paper, a general class of loss functions based on the inversion of the standard beta probability density function (pdf) is examined. The extension of this loss function from a standard beta pdf ranging from (0, 1) to the general beta pdf ranging from (p, q) is examined through the scale invariance property under a linear transformation. An industrial application in quality assurance is used to demonstrate this general class of loss functions. Mathematical derivations are attached in the Appendices.
ISSN: 0740-817X (print)
1573-9724 (online)
DOI: 10.1023/A:1019674531563
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