![]() Poly, Guillaume Joseph ![]() ![]() in Progress in Probability (2016), 71 Detailed reference viewed: 138 (4 UL)![]() Azmoodeh, Ehsan ![]() in Annals of Probability (2015), 44 Detailed reference viewed: 117 (9 UL)![]() Azmoodeh, Ehsan ![]() ![]() ![]() in Journal of Functional Analysis (2014), 266(4), 23412359 Inspired by the insightful article [4], we revisit the Nualart–Peccati criterion [13] (now known as the Fourth Moment Theorem) from the point of view of spectral theory of general Markov diffusion ... [more ▼] Inspired by the insightful article [4], we revisit the Nualart–Peccati criterion [13] (now known as the Fourth Moment Theorem) from the point of view of spectral theory of general Markov diffusion generators. We are not only able to drastically simplify all of its previous proofs, but also to provide new settings of diffusive generators (Laguerre, Jacobi) where such a criterion holds. Convergence towards Gamma and Beta distributions under moment conditions is also discussed. [less ▲] Detailed reference viewed: 179 (27 UL)![]() ; Poly, Guillaume Joseph ![]() in Journal of Functional Analysis (2013) Detailed reference viewed: 101 (0 UL)![]() Poly, Guillaume Joseph ![]() ![]() in Stochastic Processes & Their Applications (2013) Detailed reference viewed: 164 (1 UL)![]() Nourdin, Ivan ![]() ![]() in Electronic Journal of Probability (2013), 18(22), 1--19 Detailed reference viewed: 144 (3 UL)![]() ![]() Poly, Guillaume Joseph ![]() E-print/Working paper (2012) Detailed reference viewed: 36 (0 UL) |
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