Study on Sequential Compliance Method Influenced by Shape Parameter of Weibull Distribution

Abstract:

When sequential compliance method is used for Weibull distributions, the shape parameter is usually considered to be fixed. However, because of the life of products are determined by many factors, the shape parameter is variational in practice, that is to say, the shape parameter in the criterions is different from that in the practice. In this paper, the changes of acceptance and rejection probability are researched by the influence of shape parameter changes. Finally, by means of simulation test, changes on the shape parameter affecting on the probability of acceptance and rejection are quantitatively analyzed. As a result, the larger the gap on the shape parameter in the criterions and in the practice is, the larger the gap on the producer’s risk and the consumer’s risk.

• Periodical: Advanced Materials Research (Volumes 189-193)
• Pages: 4361-4364
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.189-193.4361
• Online since: February 2011
• Authors: Hong Liang Lou, Xing Lin Li, Xian Zhao Xu, Yang Ping Zhang, Zhong Hua Yu
• Keywords: Sequential Test, Shape Parameter, Weibull Distribution

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