Literature Cited
D. Surgailis, “On L2 and non-L2 multiple stochastic integration,” Lect. Notes Contr. Inf. Sci.,36, 211–226 (1981).
M. S. Taqqu and R. L. Wolpert, “Infinite variance self-similar processes subordinated to a Poisson measure,” Techn. Rept. No. 506, Cornell University (1981).
A. Astrauskas, “Stable self-similar fields,” Liet. Mat. Rinkinys,22, No. 3, 3–11 (1982).
M. Rosenblatt, “Independence and dependence,” in: Proc. Fourth Symp. Math. Statist. Probab., University of California (1961), pp. 431–443.
Yu. A. Davydov, “Invariance principle for stationary processes,” Teor. Veroyatn. Primen.,15, 498–509 (1970).
V. V. Gorodetskii, “Convergence to semistable Gaussian processes,” Teor. Veroyatn. Primen,22, 513–522 (1977).
M. S. Taqqu, “Convergence of integrated processes of arbitrary Hermite rank,” Z. Wahr. Verw. Geb.,50, 53–83 (1979).
D. Surgailis, “Convergence of sums of nonlinear functions of moving averages to self-similar processes,” Dokl. Akad. Nauk SSSR,257, 51–54 (1981).
A. Astrauskas, “Limit theorems for sums of linearly generated random variables,” Liet. Mat. Rinkinys,23, No. 2, 3–12 (1983).
I. A. Ibragimov and Yu. V. Linnik, Independent and Stationary Connected Variables [in Russian], Nauka, Moscow (1965).
B. von Bahr and C. G. Esseen, “Inequalities for the r-th absolute moment of sum of random variables, 1<r≤2,” Ann. Math. Statist.,36, 299–303 (1965).
I. N. Pak, “Sums of trigonometric series,” Usp. Mat. Nauk,35, 91–145 (1980).
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Institute of Mathematics and Cybernetics, Academy of Sciences of the Lithuanian SSR. Translated from Litovskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 23, No. 4, pp. 3–11, October–December, 1983.
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Astrauskas, A. Limit theorems for quadratic forms of linear processes. Lith Math J 23, 355–361 (1983). https://doi.org/10.1007/BF00973567
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DOI: https://doi.org/10.1007/BF00973567