On an extremal problem for probability distributions (Q1810152)
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scientific article; zbMATH DE number 1928231
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On an extremal problem for probability distributions |
scientific article; zbMATH DE number 1928231 |
Statements
On an extremal problem for probability distributions (English)
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15 June 2003
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The author considers a class of probability density functions (PDFs) formed by multiplying a given PDF by positive functions. It is shown that the upper bound of the variance of this class is attained for a piecewise constant function shaped as a rectangular trough.
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extremal variance
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convexity
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evolutional biology
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