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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...
The objective of this paper is to study a profit maximization model under decreasing the number of instantaneous failures. We derive the objective function (profit from work of the technical object) under general assumptions. The method is illustrated by a two numerical examples. In the first example the times between two instantaneous failures have two point distribution, in the other two parameters...
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