NON-CENTRAL LIMIT THEOREM FOR NON-LINEAR VECTOR FUNCTIONS OF GAUSSIAN VECTOR PROCESSES

We formulate a non-central limit theorem for non-linear functionals of stationary Gaussian vector processes with dependence.

Z. Wahrsch. Verw. Gebiete. v.50 Non-central limit theorems for non-linear functionals of Gaussian fields Dobrushin, R. L.;Major, P.
J. Multivariate Analysis v.21 Multiple stochastic integrals with dependent integrators Fox, R.;Taqqu, M.
Z. Wahrsch. Verw. Gebiete. v.70 CLT and other limit theorems for functionals of Gaussian processes Giraitis, L.;Surgailis, D
Ann Probability v.18 no.3 Limiting distributions of non-linear vector functions of stationary Gaussian process Ho, H. C.;Sun, T. C.
Central limit theorem for stationary random ventors Hsiao, C. T.
J. Chungcheong Math. Soc. v.6 L² multiple stochastic integral and Ito formula Jeon, T. I.
Proc. 1990 Taipei Symposium in Stat. inst. of Stat. Sci. A Central limit theorem for non-linear vector Gaussian processes Jeon, T. J.;Sun, T. C.
Lecture notes in Math. v.849 Multiple Wiener-Ito Integrals Major, P.
Stochastic Differential Systems. Lecture Notes in Control and Information Sciences v.36 On L² and-L² multiple stochastic integration Surgailis, D.
Z. Wahrsch. Verw. Gebiete. v.40 Laws of the iterated logarithm for sums of non-linear functions of Gaussion variables that exhibit a long-range dependence Taqqu, M.
Trigonometric Series Zygmund, A.