UMVUE for $\Phi(x-\theta)$

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A problem asks that based on sample of size n from a Normal($\theta$,$1$) distribution, we find the Uniformly Minimum Variance Unbiased Estimator (UMVUE) for: $$p=\Phi(x-\theta)$$

Where $\Phi$ is the CDF of the normal distribution.

My problem is understanding how can I find an estimator for something that is not a parameter of the distribution?

I have tried guessing an estimator and improving it, but again, get stuck with estmating a function instead of a parameter.