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AVVISO DI SEMINARI
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Forum per la Societa' Italiana di Statistica
AVVERTENZA
il nuovo servizio viene offerto in via sperimentale
dal Dipartimento di Scienze Statistiche di Perugia
con il software Majordomo 1.94.5
istallato su una Workstation UNIX (AIX 4.3.3)
Ci scusiamo per eventuali disguidi !
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DIPARTIMENTO DI SCIENZE STATISTICHE
Via S. Francesco, 33 - 35121 Padova
tel. 0498274168
IL Prof. Yakov Nikitin
St. Petersburg State University
terrą i seguenti seminari:
EXTREMAL PROBLEMS RELATED
TO GAUSSIAN AND EMPIRICAL FIELDS
30 Ottobre 2000
ore 10.00
Aula SF40
Summary
Some important problems of Probability and Statistics can be reduced to the
minimization of functionals on the unit ball of some Sobolev space. Among
such
problems are the large deviation asymptotics and the Strassen functional
law for
functionals of Gaussian fields as well as the conditions of asymptotic
optimality
of nonparametric tests. We develop a general approach to the extremal problem
described above with the special emphasis on anisotropic norms in the L_p
space of
functions on the unit square.
MAESONO TEST AS A GENERALIZATION
OF WILCOXON TEST AND ITS EFFICIENCY
30 Ottobre 2000
ore 11.00
Aula SF40
Summary
Maesono statistics T_r, r>1, proposed in 1987, are natural generalizations of
Wilcoxon statistic W=T_2 and also belong to the class of U-statistics. We
calculate Bahadur efficiency of the corresponding tests of symmetry and
discriminate between T_2 and T_3 (this is an unsolved problem proposed by
Maesono). The description of local optimality conditions for these tests is
given.
APPROXIMATE BAHADUR EFFICIENCY
OF INDEPENDENCE TESTS
WITH RANDOM SAMPLE SIZE
31 Ottobre 2000
ore 10.00
Aula SF40
Summary
We compare various kinds of independence tests based on samples with random
size,
in order to provide practitioners with some guidance for their choice based
on
approximate Bahadur efficiency. Such results are obtained for a wide class of
distributions of the random index; the efficiency slopes of the statistics we
consider are then expressed in terms of the parameters of these same
distributions.
Cordiali saluti,
Carlo Gaetan
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Carlo GAETAN e-mail:gaetan@stat.unipd.it
Dipartimento di Scienze Statistiche phone : ++39-049-827-41-68
Via S. Francesco, 33 ++39-049-827-41-80 (desk)
I-35121 PADOVA fax : ++39-049-87-53-930
ITALY