Normal orthant probabilities in the equicorrelation case (Q1577984)

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scientific article; zbMATH DE number 1496356
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Normal orthant probabilities in the equicorrelation case
scientific article; zbMATH DE number 1496356

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    Normal orthant probabilities in the equicorrelation case (English)
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    27 August 2000
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    Based on algebraic methods in the theory of matrices, distinct from previously existing techniques, the main result of the paper is to obtain a general differential equation that governs the orthant probabilities of the equicorrelated multivariate normal distribution. Solving this differential equation, a new useful reduction, more suitable for computation, is provided by the proposed expansion formula for the orthant probabilities in the equicorrelated case.
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    quadratic forms
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    differential equation
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    orthant probabilities
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    equicorrelated multivariate normal distribution
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    expansion formula
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