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seminari prof. Nikitin



DOTTORATO DI RICERCA IN STATISTICA METODOLOGICA

4° ciclo di seminari 1998-99


Il prof. YAKOV YU. NIKITIN (Università di San Pietroburgo) svolgerà presso
il Dipartimento di Statistica, Probabilità e Statistiche Applicate  un
ciclo di seminari dal titolo "Large deviations of test statistics with
applications to efficiency".
I seminari si terranno nella sede del Dipartimento, sala 34.
Tutti gli interessati sono invitati a intervenire.

PROGRAMMA
Modern approaches to the calculation of efficiency of statistical tests
were proposed in 1960-1980 by Bahadur, Hodges-Lehmann, Chernoff, Kallenberg
and others. All of them require the large deviation asymptotics of the
corresponding test-statistics. The analysis of large deviations is a
difficult problem having numerous applications in statistics, information
theory, statistical physics, etc. We present new results on large
deviations of U- and V- statistics and of test statistics based on kernel
density estimators. This opens the possibility to calculate the asymptotic
efficiency of numerous statistical tests and to compare them on this basis.

CALENDARIO
Lunedì 11 ottobre, ore 11-12
Mercoledì 13 ottobre, ore 10-11
 

(il coordinatore: prof. L. Piccinato)