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A v v i s o d i S e m i n a r i o
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Giovedì 12 Maggio, ore 11
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Stanza 34
Dipartimento di Scienze Statistiche
"Sapienza" Università di Roma
Prof. A.Olenko (La Trobe University, Melbourne, Australia)
*Titolo:*
Some asymptotic properties of geometric functionals of strongly dependent
random fields
*Sintesi:*
Limit theorems for the volumes of excursion sets of strongly dependent
heavy-tailed random fields will be presented. Special attention is paid to
Student and Fisher random fields. We also discuss the rate of convergence
to the Rosenblatt-type distributions in non-central limit theorems. In
contrast to approaches based on the Malliavin calculus and Stein's method
we use direct probability methods. Some examples and simulation results are
shown.
The presentation is based on the papers:
N. Leonenko, A. Olenko, Sojourn measures of Student and Fisher-Snedecor
random fields, Bernoulli, 20(3) (2014) 1454--1483.
Vo Anh, N. Leonenko, A.Olenko. On the rate of convergence to
Rosenblatt-type distribution, Journal of Mathematical Analysis and
Applications, 425(1) (2015) 111-132.
Tutti gli interessati sono invitati a partecipare.
Cordiali saluti
Alessandro De Gregorio
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