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

  • Jeon, Tae-Il
  • Published : 2000.01.01

Abstract

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

Keywords

References

  1. Z. Wahrsch. Verw. Gebiete. v.50 Non-central limit theorems for non-linear functionals of Gaussian fields Dobrushin, R. L.;Major, P.
  2. 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.
  3. Lecture notes in Math. v.849 Multiple Wiener-Ito Integrals Major, P.
  4. J. Multivariate Analysis v.21 Multiple stochastic integrals with dependent integrators Fox, R.;Taqqu, M.
  5. Ann Probability v.18 no.3 Limiting distributions of non-linear vector functions of stationary Gaussian process Ho, H. C.;Sun, T. C.
  6. J. Chungcheong Math. Soc. v.6 L² multiple stochastic integral and Ito formula Jeon, T. I.
  7. Central limit theorem for stationary random ventors Hsiao, C. T.
  8. Trigonometric Series Zygmund, A.
  9. Z. Wahrsch. Verw. Gebiete. v.70 CLT and other limit theorems for functionals of Gaussian processes Giraitis, L.;Surgailis, D
  10. Stochastic Differential Systems. Lecture Notes in Control and Information Sciences v.36 On L² and-L² multiple stochastic integration Surgailis, D.
  11. 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.