The Laplace integral and probabilities of moderate deviations in \(R^ k\) (Q1117568)
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scientific article; zbMATH DE number 4092470
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Laplace integral and probabilities of moderate deviations in \(R^ k\) |
scientific article; zbMATH DE number 4092470 |
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The Laplace integral and probabilities of moderate deviations in \(R^ k\) (English)
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1987
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[For the entire collection of the original see Zbl 0626.00025.] One obtains probabilities of moderate deviations of the sums of independent, identically distributed random vectors with values in \(R^ k\), \(k\geq 2\), over a ball with center at the origin. One finds the asymptotic behavior of the Gaussian measure of the considered domain when the radius of the ball tends to infinity.
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probabilities of moderate deviations
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Gaussian measure
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