Literature Cited
R. M. Blumenthal and R. Getoor, “Sample functions of stochastic processes with stationary independent increments,” J. Math. Mech.,10, No. 3, 493–516 (1961).
M. S. Klamkin, “On some multiple integrals,” J. Math. Anal. Appl.,54, No. 2, 476–479 (1976).
S. Orey and W. Pruitt, “Sample functions of the N-parameter Wiener process,” Ann. Probability,1, 138–163 (1973).
M. L. Straf, “Weak convergence of stochastic processes with several parameters,” in: Proceedings of the Sixth Berkeley Symposium on Probability Theory, Vol. 2, Berkeley (1972), pp. 187–221.
N. Kalinauskaite, “On the local growth of the sample paths of random fields with independent increments. I,” Litov. Mat. Sb.,19, No. 1, 87–96 (1979).
A. Ya. Khinchin, “On the local growth of homogeneous stochastic processes without aftereffect,” Izv. Akad. Nauk SSSR Ser. Mat., No. 5-6, 487–508 (1939).
E. Lukacs, Characteristic Functions, Griffin, London (1970).
Additional information
Institute of Mathematics and Cybernetics, Academy of Sciences of the Lithuanian SSR. Translated from Litovskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 19, No. 2, pp. 103–116, April–June, 1979.
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Kalinauskaite, N. Local growth of the sample paths of random fields with independent increments. II. Lith Math J 19, 229–239 (1979). https://doi.org/10.1007/BF00970611
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DOI: https://doi.org/10.1007/BF00970611