Bias in estimation from type I censored samples

W. R. van Zwet

Statistica Neerlandica, 1966, vol. 20, issue 1, 143-148

Abstract: Summary Let be a family of probability distributions on R1. This paper raises the question whether a parameter θ=θ (P), Pt, is estimable on the basis of a type I censored sample (i.e. censored on a fixed set C). Two theorems are given that state conditions on θ and C that ensure that θ is not estimable. The results are applied to estimation problems for the normal and POISSON distributions; it turns out that unbiased estimation is impossible in the majority of practical cases.

Date: 1966
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https://doi.org/10.1111/j.1467-9574.1966.tb00497.x

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