A Non-Central Functional Limit Theorem for Quadratic Forms in Martingale Difference Sequences
Publications de l'Institut de recherche mathématiques de Rennes, Probabilités, no. 1 (1989-1990), pp. 69-73.
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     author = {Jakubowski, Adam},
     title = {A {Non-Central} {Functional} {Limit} {Theorem} for {Quadratic} {Forms} in {Martingale} {Difference} {Sequences}},
     journal = {Publications de l'Institut de recherche math\'ematiques de Rennes},
     pages = {69--73},
     publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes},
     number = {1},
     year = {1989-1990},
     zbl = {0737.60035},
     language = {en},
     url = {http://www.numdam.org/item/PSMIR_1989-1990___1_69_0/}
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Jakubowski, Adam. A Non-Central Functional Limit Theorem for Quadratic Forms in Martingale Difference Sequences. Publications de l'Institut de recherche mathématiques de Rennes, Probabilités, no. 1 (1989-1990), pp. 69-73. http://www.numdam.org/item/PSMIR_1989-1990___1_69_0/

[Ito51] Itô, K. Multiple Wiener integral, J. Math. Soc. Japan 3 (1951), pp. 157-169. | MR | Zbl

[JaMé90] Jakubowski, A. et Mémin, J. A functional central limit theorem for quadratic forms in independent random variables, preprint (1990). | Zbl

[JMP89] Jakubowski, A., Mémin, J. et Pages, G. Convergence en loi des suites d’integrales stochastiques sur l’espace 𝔻 1 de Skorokhod Probab. Th. Rel. Fields 81 (1990), pp. 111-137. | Zbl

[Maj81] Major, P. Multiple Wiener-Ito Integrals, Lecture Notes in Math., 849, Springer 1981. | MR | Zbl

[Ros79] Rosenblatt, M. Some limit theorems for partial sums of quadratic forms in stationary gaussian variables Z. Wahrsch. verw. Gebiete 49 (1979), pp 125-132. | MR | Zbl

[SuHo86] Sun, T.C. et Ho, H.C. On central and non-central limit theorems for nonlinear functions of a stationary Gaussian process, in: Eberlein, E. et Taqqu, M., Eds, Dependence in Probability and Statistics, Birkhäuser, Boston 1986. | MR | Zbl