Geodesic
Stationary processes in functional
Teoriâ slučajnyh processov, Tome 13 (2007) no. 4, pp. 210-218.

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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. 
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Tetyana Yakovenko. Stationary processes in functional. Teoriâ slučajnyh processov, Tome 13 (2007) no. 4, pp. 210-218. http://geodesic.mathdoc.fr/item/THSP_2007_13_4_a15/

[1] Noordhof, Gröningen, 1961

[2] Buldygin V. V., Kozachenko Yu. V., Metric characterization of random variables and random processes, Amer. Math. Soc., Providence, RI, 2000

[3] Kozachenko Yu. V., Yakovenko T. O., “Conditions under which stochastic processes belong to some functional Orlicz spaces”, Bulletin of the University of Kyiv, 2002, no. 5, 64–74 (In Ukrainian)

[4] Yakovenko T. O., “Conditions of belonging $L_V(\Omega)$ processes to some functional Orlicz spaces”, Bulletin of the University of Kyiv, 2004, no. 2, 76–80 (In Ukrainian)

[5] Yakovenko T. O., “Conditions under which processes belong to Orlicz spaces in case of noncompact parametric set”, Theory of Stochastic Processes, 10(26):1-2 (2004), 178–183

[6] Kozachenko Yu. V., Yakovenko T. O., “Stochastic processes in Sobolev- Orlicz spaces”, Ukrainian Mathematical Journal, 58:10 (2006), 1340–1356 (In Ukrainian)

[7] Barrasa de la Krus E., Kozachenko Yu. V., “Boundary-value problems for equations of mathematical physics with strictly Orlicz random initial conditions”, Random Oper. and Stoch. Eq., 3:3 (1995), 201–220