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JOURNALS // Theory of Stochastic Processes // Archive

Theory Stoch. Process., 2007 Volume 13(29), Issue 4, Pages 210–218 (Mi thsp247)

Stationary processes in functional spaces $L_q(R)$

Tetyana Yakovenko

Department of Probability Theory and Mathematical Statistics, Kyiv National Taras Shevchenko University, Kyiv, Ukraine

Abstract: The paper is devoted to the problem of establishing the conditions on the stochastic process to belong it to the functional space $L_q(R)$ with probability one. The corresponding results were obtained for the strictly Orlicz, stationary in wide sense processes.

Keywords: Stationary process, Orlicz space, noncompact parametric set, strictly Orlicz random variables.

MSC: Primary 60G17; Secondary 60G07

Language: English



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