日時 2006年 4月18日(火) 15時〜16時40分
場所 経済学部新棟3階第2教室
講演者 吉田 朋広(数理科学)
演題 Weak convergence of statistical random fields and polynomial
type large deviation inequalities
概要:
We present a certain polynomial type large deviation inequality
for a statistical random field. From this result, we obtain weak convergence
of the statistical random field, and asymptotic properties of statistics
related to it. We apply those results to quasi-likelihood analysis for
sampled stochastic differential equations. It turns out that Yury Kutoyants'
scheme to apply Ibragimov-Hasminskii's theory to stochastic processes such
as semimartingales was correct.
Tokyo University