Type-I hybrid censoring of uniformly distributed lifetimes. (English) Zbl 1508.62234
Summary: 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 \( \hat{b}\) is degenerated. Though the expressions for the distributions of the MLEs \( \hat{b}\) and \( (\hat{a}, \hat{b})\) do not necessarily involve B-splines, the key tool to derive these representations is a B-spline based integral identity established in [W. Dahmen and C. A. Micchelli, Contemp. Math. 59, 17–48 (1986; Zbl 0615.62021)].
MSC:
| 62N05 | Reliability and life testing |
| 62E15 | Exact distribution theory in statistics |
| 62F10 | Point estimation |
Keywords:
B-spline; divided differences; maximum likelihood estimation; type-I hybrid censoring; uniform distributionCitations:
Zbl 0615.62021References:
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