Weibull Model Allowing Nearly Instantaneous Failures. (24th September 2007)

• Record Type: Journal Article
• Authors: Lai, C. D.; Khoo, Michael B. C.; Muralidharan, K.; Xie, M.
• Other Names: Cowpertwait Paul Academic Editor.
• Is Part Of: Journal of applied mathematics & decision sciences. Volume 2007(2007)
• Publication Date: 2007-09-24
• Subjects: Operations research -- Periodicals; Mathematical models -- Periodicals; Statistics -- Periodicals; Quality control -- Periodicals; Mathematical models; Operations research; Quality control; Statistics; Periodicals; 519.05
• DOI: 10.1155/2007/90842
• Languages: English
• ISSNs: 1173-9126

Abstract

Abstract : A generalized Weibull model that allows instantaneous or early failures is modified so that the model can be expressed as a mixture of the uniform distribution and the Weibull distribution. Properties of the resulting distribution are derived; in particular, the probability density function, survival function, and the hazard rate function are obtained. Some selected plots of these functions are also presented. An R script was written to fit the model parameters. An application of the modified model is illustrated.