CLT and other limit theorems for functionals of Gaussian processes

Bentkus, R.: Cumulants of polylinear forms of a stationary time series (in Russian). Lietuvos matematikos rinkinys17, 27–46 (1977) Breuer, P., Major, P.: Central limit theorem for non-linear functionals of Gaussian fields. J. Multivariate Anal.13, 425–441 (1983) Brillinger, D.R.: Time series. Data analysis and theory. New York: Holt, Rinehart and Winston 1975 Dobrushin, R.L.: Gaussian and their subordinated self-similar random generalized fields. Ann. Probab.7, 1–28 (1979) Dobrushin, R.L., Major, P.: Non-central limit theorems for non-linear functionals of Gaussian fields. Z. Wahrscheinlichkeitstheor. Verw. Gebiete50, 27–52 (1979) Giraitis, L.: Limit theorems for subordinated processes. Dissertation, Vilnius, 1984 Giraitis, L.: Central limit theorem for functionals of linear processes (in Russian). Lietuvos matematikos rinkinys25, 43–57 (1985) Gorodeckii, V.V.: The invariance principle for functions of stationary connected Gaussian variables (in Russian). Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova (LOMI)97, 34–44 (1980) Ibragimov, I.A.: Some limit theorems for stationary processes. Teor. Verojatn. Primen.7, 361–395 (1962) Ibragimov, I.A., Linnik, J.V.: Independent and stationary sequences of random variables. Gröningen: Walters-Noordhoff 1971 Ito, K.: Multiple Wiener integral. J. Math. Soc. Japan,3, 157–164 (1951) Major, P.: Limit theorems for non-linear functionals of Gaussian sequences. Z. Wahrscheinlichkeitstheor. Verw. Gebiete57, 129–158 (1981) Major, P.: Multiple Wiener-Ito integrals. Lecture Notes Math.849, Berlin-Heidelberg-New York: Springer 1981 Malyshev, V.A.: Cluster expansions in lattice models of statistical physics and quantum field theory (in Russian). Usp Mat. Nauk.35, 3–53 (1980) Maruyama, G.: Non-linear functionals of Gaussian processes and their applications. In: Proceeding of the Third Japan-USSR Sympos. Probab. Theory (Tashkent 1975). Lecture Notes Math.550, 375–378. Berlin-Heidelberg-New York: Springer 1976 Maruyama, G.: Applications of Wiener's expansions to some probability limit theorems. In: Third International Vilnius Conference of Probab. Theory and Math. Stat., Vilnius 1981 Plikusas, A.: A: Some properties of the multiple Ito integrals (in Russian). Lietuvos matematikos rinkinys21, 163–173 (1981) Rosenblatt, M.: Independence and dependence. Proc. 4th Berkeley Sympos. Math. Statist. Probab. pp. 411–443. Berkeley: Univ. Calif. Press 1961 Rosenblatt, M.: Some limit theorems for partial sums of quadratic forms in stationary Gaussian variables. Z. Wahrscheinlichkeitstheor. Verw. Gebiete49, 125–132 (1979) Rosenblatt, M.: Limit theorems for Fourier transforms of functionals of Gaussian sequences. Z. Wahrscheinlichkeitstheor. Verw. Gebiete55, 123–132 (1981) Rubin, H., Vitale, R.A.: Asymptotic distribution of symmetric statistics. Ann Math. Stat.8, 165–170 (1980) Sun, T.: Some further results on central limit theorems for non-linear functions of normal stationary process. J. Math. and Mech.14, 71–85 (1965) Surgailis, D.: OnL 2 and non-L 2 multiple stochastic integrals. In: Lecture Notes Control. Inf. Sci.36, 212–226 (1981) Taqqu, M.S.: Convergence of integrated processes of arbitrary Hermite rank. Z. Wahrscheinlichkeitstheor. Verw. Gebiete50, 53–83 (1979) Zygmund, A.: Trigonometric series (2nd ed) Cambridge: Cambridge University Press 1968