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Statistical analysis of failures

Knopik L.

Journal of Polish CIMAC

2012

Vol. 7, no 2

91-95

The lifetime distribution is important in reliability studies. There are many situations in lifetime testing, where an item (technical object) fails instantaneously and hence the observed lifetime is reported as a small real positive number. The investigation in this article was motivated by an extended and generalized Weibull distribution. We suggest a mixture of a singular distribution and Weibull distribution. We apply the maximum likelihood method to estimate the parameters of the mixture. The method is illustrated by a numerical example for the time between the failures of bus engines.