R. Simone

activity

20142022

most citedA Model-Based Fuzzy Analysis of Questionnaires

21 citations · 26 across the 7 of their papers we have counts for

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Showing 2014Show all

3 papers · 1 filter

math.RA2014

Orthogonal polynomials through the invariant theory of binary forms

Pasquale Petrullo, Domenico Senato, Rosaria Simone

We present an algebraic theory of orthogonal polynomials in several variables that includes classical orthogonal polynomials as a special case. Our bottom line is a straightforward…

math.PR2014

Classical and free Fourth Moment Theorems: universality and thresholds

Ivan Nourdin, Giovanni Peccati, Guillaume Poly +1

Let $X$ be a centered random variable with unit variance, zero third moment, and such that $E [X^{4}] \geq 3$ . Let ${F_{n} : n \geq 1}$ denote a normalized sequence of homogeneous sums…

math.PR2014★ 3 cited

Universality of free homogeneous sums in every dimension

R. Simone

We prove a general multidimensional invariance principle for a family of U-statistics based on freely independent non-commutative random variables of the type $U_{n} (S)$ , where $U_n(…