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Minimum Variance Unbiased Estimate of a Coverage Probability

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  • D. G. Kabe

    (Dalhousie University, Halifax, Novo Scotia, Canada)

Abstract

Let F ( x , θ) denote the distribution function of a vector variate x , whose range does not depend on the parameter θ. Then assuming that θ admits a complete and sufficient estimator θ̂, we derive minimum variance unbiased estimate of Px ≦ a = F ( a , θ), where a is a known vector. The result is applied to a coverage problem in a normal set up.

Suggested Citation

  • D. G. Kabe, 1968. "Minimum Variance Unbiased Estimate of a Coverage Probability," Operations Research, INFORMS, vol. 16(5), pages 1016-1020, October.
    • Handle: RePEc:inm:oropre:v:16:y:1968:i:5:p:1016-1020
    DOI: 10.1287/opre.16.5.1016
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