A sufficient condition for asymptotic normality of the normalized quadratic form [formula omitted

Abstract

Many sufficient conditions of asymptotic normality of the normalized quadratic form Ψ n ( f , g ) have been proposed since 1958. The less restrictive was given in the paper of L. Giraitis and D. Surgailis (1990). Using a linear operator approach, it is possible to produce an even less restrictive sufficient condition on the couple of functions ( f , g ) . To cite this article: V. Solev, L. Gerville-Reache, C. R. Acad. Sci. Paris, Ser. I 342 (2006).