Type-I hybrid censoring of uniformly distributed lifetimes

Julian Górny and Erhard Cramer

Communications in Statistics - Theory and Methods, 2019, vol. 48, issue 2, 412-433

Abstract: We consider Type-I hybrid censored lifetimes from a two-parameter uniform distribution with support [a, b] and focus on the derivation of the exact distribution of the MLEs. In particular, we show that the distribution of the MLE b^$\widehat{b}$ is degenerated. Though the expressions for the distributions of the MLEs b^$\widehat{b}$ and (a^,b^)$(\widehat{a},\widehat{b})$ do not necessarily involve B-splines, the key tool to derive these representations is a B-spline based integral identity established in Dahmen and Micchelli (1986).

Date: 2019
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DOI: 10.1080/03610926.2017.1414255

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