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math.PR2017
Universality and Fourth Moment Theorem for homogeneous sums. Orthogonal polynomials and apolarity
Rosaria Simone
The aim of the dissertation is threefold: the first two parts are devoted to explore the Fourth Moment Theorem and universality properties for homogeneous sums, while the last part…
math.PR2015★ 1 cited
Multidimensional limit theorems for homogeneous sums: a general transfer principle
Ivan Nourdin, Giovanni Peccati, Guillaume Poly +1
The aim of the present paper is to establish the multidimensional counterpart of the \textit{fourth moment criterion} for homogeneous sums in independent leptokurtic and mesokurtic…