The world's unsolved problems
993 open questions across 14 fields, gathered from Wikipedia. Pick one and start thinking.
9 results in Statistics · clear · surprise me
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How to detect and correct for systematic errors, especially in sciences where random errors are large (a situation John Tukey termed…
How to detect and correct for systematic errors, especially in sciences where random errors are large (a situation John Tukey termed uncomfortable science).
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The Graybill–Deal estimator is often used to estimate the common mean of two normal populations with unknown and possibly unequal…
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.
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Meta-analysis
Though independent p-values can be combined using Fisher's method, techniques are still being developed to handle the case of dependent p-values.
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Behrens–Fisher problem
Yuri Linnik showed in 1966 that there is no uniformly most powerful test for the difference of two means when the variances are unknown and possibly unequal. That is, there is no exact test (meaning that, if the means are in fact equal, one that rejects...
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Multiple comparisons
There are various ways to adjust p-values to compensate for the simultaneous or sequential testing of hypotheses. Of particular interest is how to simultaneously control the overall error rate, preserve statistical power, and incorporate the dependence...
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Bayesian statistics
A list of open problems in Bayesian statistics has been proposed.
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As the theory of Latin squares is a cornerstone in the design of experiments, solving the problems in Latin squares could have immediate…
As the theory of Latin squares is a cornerstone in the design of experiments, solving the problems in Latin squares could have immediate applicability to experimental design.
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Sampling of species problem
How is a probability updated when there is unanticipated new data?
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Doomsday argument
How valid is the probabilistic argument that claims to predict the future lifetime of the human race given only an estimate of the total number of humans born so far?
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Data last refreshed 2026-10-20 03:01 UTC.