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Dec 27, 2017 at 19:07 comment added Iosif Pinelis Why the downvote? Can you please explain?
Mar 7, 2017 at 1:29 comment added Iosif Pinelis @MichaelHardy : This was indeed the original formulation, and this is why one of the tags was st.statistics. However, the essence of the problem is analytical. My partial answer suggests that much may depend on the behavior of $f(x)$ as $|x|\to\infty$.
Mar 6, 2017 at 22:29 comment added Michael Hardy In statisticians' language: Does the family $\displaystyle \left\{ N\left( \frac 1 \theta, \frac 1 {\theta^2} \right) \mid \theta\in\mathbb R\right\}$ of probability distributions admit any non-trivial unbiased estimator of zero? Or in other words, is this family of distributions complete (i.e. it does not admit such an estimator)? $\qquad$
Feb 28, 2017 at 18:39 answer added Iosif Pinelis timeline score: 1
Feb 28, 2017 at 12:25 vote accept Iosif Pinelis
Feb 28, 2017 at 12:55
Feb 28, 2017 at 4:12 answer added Henry.L timeline score: 0
Feb 28, 2017 at 2:18 history asked Iosif Pinelis CC BY-SA 3.0