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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...
In this paper, we compare the largest order statistics arising from independent heterogeneous Weibull random variables based on the likelihood ratio order. Let $$X_{1},\ldots ,X_{n}$$ X 1 , … , X n be independent Weibull random variables with $$X_{i}$$ X i having shape parameter $$0<\alpha \le 1$$ 0 < α ≤ 1 and scale parameter $$\lambda _{i}$$ λ i...
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