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Asymptotic behavior of the linear self-interacting diffusions with a weight

發(fā)布者:文明辦發(fā)布時(shí)間:2022-10-31瀏覽次數(shù):413


主講人:閆理坦 東華大學(xué)教授


時(shí)間:2022年11月3日15:30


地點(diǎn):騰訊會(huì)議 129 214 607


舉辦單位:數(shù)理學(xué)院


主講人介紹:閆理坦,東華大學(xué)二級(jí)教授、博士生導(dǎo)師。2002年于日本國(guó)立富山大學(xué)獲得理學(xué)博士學(xué)位,研究方向?yàn)殡S機(jī)分析及其應(yīng)用;主持國(guó)家自然科學(xué)基金科面上項(xiàng)目5項(xiàng),發(fā)表SCI收錄的學(xué)術(shù)論文100多篇。


內(nèi)容介紹:Let $B^H=\{B^H_t,t\geq 0\}$ be a fractional Brownian motion with Hurst index $H\in (0,1)$. In this talk, we consider long time behaviors of the self-interacting diffusions of the form $$ X^H_t=B^H_t+\int_0^t\int_0^sg(r)dX_rds+\nu t, $$ where $g$ is a Borel measurable function. Moreover, when the function $g$ includes some parameters we introduce the least squares estimators of these parameters and consider their asymptotic behaviors.