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Conditional distributions of the maximum of a Gaussian random field

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Abstract

It is shown that the conditional probabilities of the maximum of a Gaussian random field, under the condition of fixing that element of the field on which this maximum is attained, may be degenerate in the infinite-dimensional case.

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References

  1. V. N. Sudakov, "Geometric problems of the theory of infinite-dimensional probability distributions," Tr. Mat. Inst. Akad. Nauk SSSR,141, 1–192 (1976).

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  1. V. N. Sudakov
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 184, pp. 260–263, 1990.

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Sudakov, V.N. Conditional distributions of the maximum of a Gaussian random field. J Math Sci 68, 585–587 (1994). https://doi.org/10.1007/BF01254285

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  • DOI: https://doi.org/10.1007/BF01254285

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