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This paper is intended to consider a weighted proportional hazards model and the arising mixture model from it which is called weighted frailty model and study some properties in the context of reliability theory. It is shown that the frailty random variable and the population level variable are negatively likelihood ratio dependent. Closure properties of the model with respect to some stochastic...
In reliability and survival analysis, to model lifetime data, size-biased distributions are useful. In this paper, a mixture model of size-biased distributions is introduced and studied. Several reliability properties of this model are investigated. In addition, some implications of well-known stochastic orders and aging classes concerning the model are established. To underline the usefulness of...
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