Continuity Properties of Some Gaussian Processes
نویسندگان
چکیده
منابع مشابه
On Some Continuity and Differentiability Properties of Paths of Gaussian Processes
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This paper considers some path pro~erties of real separable Gaussian processes ~ with parameter set an arbitrary interval. The following results are established, among others. At every fixed point the paths of ~ are continuous, or differentiable, with probability zero or one. If ~ is measurable, then with probability one its paths have essentially the same points of continuity and differentiabi...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1972
ISSN: 0003-4851
DOI: 10.1214/aoms/1177692721