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報(bào)告題目（一）：An exponential nonuniform Berry-Esseen bound of fractional Ornstein-Uhlenbeck process

報(bào)告人：蔣輝

報(bào)告時(shí)間：2022年5月20日(星期五)14:30-15:30

報(bào)告地點(diǎn)：騰訊會(huì)議（480-506-589）

主辦單位：安徽省高端裝備智能控制國(guó)際聯(lián)合研究中心,，數(shù)理與金融學(xué)院,，科技處,，研究生部

報(bào)告摘要：In this talk, we study asymptotic properties for maximum likelihood estimator of unknown parameter in fractional Ornstein-Uhlenbeck process. By using the change of measure method and asymptotic analysis technique, we establish an exponential nonuniform Berry-Esseen bound for the maximum likelihood estimator. As applications, the optimal Cramér-type moderate deviation can be obtained. This is a joint work with Zhou Jingying.

報(bào)告人簡(jiǎn)介：蔣輝,，南京航空航天大學(xué)數(shù)學(xué)系教授，博士生導(dǎo)師,。2008年6月博士畢業(yè)于武漢大學(xué),，專業(yè)為概率論與數(shù)理統(tǒng)計(jì)，研究方向?yàn)殡S機(jī)分析與大偏差理論,，隨機(jī)過(guò)程統(tǒng)計(jì)推斷等,，在Bernoulli，Journal of Applied Probability,，Journal of Theoretical Probability,、Stochastic Analysis and Applications，Journal of Statistical Planning and Inference等國(guó)內(nèi)外概率統(tǒng)計(jì)學(xué)術(shù)期刊發(fā)表學(xué)術(shù)論文多篇,。主持國(guó)家自然科學(xué)基金面上,，青年以及天元項(xiàng)目，中國(guó)博士后面上以及特別資助項(xiàng)目等,。獲教育部高等學(xué)校優(yōu)秀科研成果二等獎(jiǎng)以及湖北省自然科學(xué)二等獎(jiǎng)(排名第二),。

報(bào)告題目（二） Derivatives of intersection local time for two independent symmetric \alpha-stable processes

報(bào)告人：申廣君

報(bào)告時(shí)間：2022年5月20日(星期五)15:30-16:30

報(bào)告地點(diǎn)：騰訊會(huì)議（480-506-589）

主辦單位：安徽省高端裝備智能控制國(guó)際聯(lián)合研究中心,，數(shù)理與金融學(xué)院,，科技處，研究生部

報(bào)告摘要 : In this talk,  we consider (k_{1},…,k_eokgemuq0)-order derivatives of intersection local time for two independent d-dimensional symmetric \alpha-stable processes. We first study the sufficient condition for the existence of higher-order derivatives, which makes us obtain the exponential integrability and H\{o}lder continuity Then we show that this condition is also necessary for the existence of higher-order derivatives of intersection local time at the origin.

Moreover, we also study the power variation of higher-order derivatives.

報(bào)告人簡(jiǎn)介：申廣君,，理學(xué)博士,，安徽師范大學(xué)數(shù)學(xué)系教授，博士生導(dǎo)師,，安徽省學(xué)術(shù)和技術(shù)帶頭人,，安徽省杰出青年科學(xué)基金獲得者,。主要研究分?jǐn)?shù)布朗運(yùn)動(dòng)及其相關(guān)過(guò)程的隨機(jī)分析，成果主要發(fā)表在Science China Mathematics,，Journal of Differential Equations,，Journal of Theoretical Probability等期刊，主持兩項(xiàng)國(guó)家自然科學(xué)基金面上項(xiàng)目,。