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There are many longstanding unsolved problems in mathematics for which a solution has still not yet been found.
The notable unsolved problems in statistics are generally of a different flavor; according to John Tukey,[1] “difficulties in identifying problems have delayed statistics far more than difficulties in solving problems.”
A list of “one or two open problems” (in fact 22 of them) was given by David Cox.[2]
Inference and testing[edit]
How to detect and correct for systematic errors, especially in sciences where random errors are large (a situation Tukey termed uncomfortable science).
The Graybill–Deal estimator is often used to estimate the common mean of two normal populations with unknown and possibly unequal variances.
Though this estimator is generally unbiased, its admissibility remains to be shown
Sawilowsky, Shlomo S. (2002). “Fermat, Schubert, Einstein, and Behrens–Fisher: The Probable Difference Between Two Means When σ1 ≠ σ2”. Journal of Modern Applied Statistical Methods. 1 (2). doi:10.22237/jmasm/1036109940
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en.wikipedia.org /wiki/List_of_unsolved_problems_in_statistics
List of unsolved problems in statistics
Contributors to Wikimedia projects
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