Title: Technical Note: Relationship between Weibull and double exponential distributions in evaluating quality of ceramics

Authors: Shigeo Kase

Addresses: The University of the Air, Chiba-shi 260, Japan

Abstract: At present Weibull probability law is exclusively applied all over the world for analysis of the flexural strength data of fine ceramics. However, a few misunderstandings on the Weibull distribution seem to devalue the universal method. One of these misunderstandings is the common opinion that the greater the value of the shape parameter of the distribution is, the less the standard deviation of stochastic variable or dispersion of flexural strength data becomes. This Note aims to remove such an obstacle by proposing an unprejudiced approach to the problem. The intention is to correct the prevailing misapprehension, specifically through a study on the statistical relationship between Weibull and double exponential (or extreme-value) distributions.

Keywords: Weibull distribution; double exponential distributions; ceramics quality; fine ceramics; probability; flexural strength.

DOI: 10.1504/IJMPT.1987.036789

International Journal of Materials and Product Technology, 1987 Vol.2 No.2, pp.221 - 224

Available online: 07 Nov 2010

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