A Formula for the Tail Probability of a
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JΓΌrg HΓΌsler; Regina Y. Liu; Kesar Singh
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Article
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2002
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Elsevier Science
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English
β 113 KB
An exact asymptotic formula for the tail probability of a multivariate normal distribution is derived. This formula is applied to establish two asymptotic results for the maximum deviation from the mean: the weak convergence to the Gumbel distribution of a normalized maximum deviation and the precis