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Smoothness for the collision local times of bifractional Brownian motions

science china mathematics 2011年第9期54卷 1859-1873页

作者： shen guangjun 1,2,& yan litan 3 1 department of mathematics,east china university of science and technology,shanghai 200237,china 2 department of mathematics,Anhui Normal university,Wuhu 241000,china 3 department of mathematics,Donghua university,shanghai 201620,china 1. department of mathematics East China University of Science and Technology Shanghai 200237 China2. Department of Mathematics Anhui Normal University Wuhu 241000 China3. Department of Mathematics Donghua University Shanghai 201620 China

Let B^Hi,Ki ={ Bt^Hi,Ki, t ≥ 0}, i= 1, 2 be two independent bifractional Brownian motions with respective indices Hi ∈ （0, 1） and K∈ E （0, 1]. One of the main motivations of this paper is to investigate f0^Tδ（Bs^H1 ,K1 - the smoothness of the collision local time, introduced by Jiang and Wang in 2009, IT = f0^T δ（Bs^H1,K1）ds, T 〉 0, where 6 denotes the Dirac delta function. By an elementary method, we show that iT is smooth in the sense of the Meyer-Watanabe if and only if min{H-1K1, H2K2} 〈-1/3.

关键词： bifractional Brownian motion collision local time intersection local time chaos expansion

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Asymptotic behavior for bi-fractional regression models via Malliavin calculus

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Frontiers of mathematics in china 2014年第1期9卷 151-179页

作者： guangjun shen litan yan department of mathematics Anhui Normal University Wuhu 241000 China department of mathematics Donghua University Shanghai 201620 China

Let B^H1,K1 and BH2,K2 be two independent bi-fractional Brownian motions. In this paper, as a natural extension to the fractional regression model, we consider the asymptotic behavior of the sequence Sn：=∑i=0^n-1K（n^αBi^H,K1）（Bi＋1^H2,K2-Bi^H2,K2）where K is a standard Gaussian kernel function and the bandwidth parameter α satisfies certain hypotheses. We show that its limiting distribution is a mixed normal law involving the local time of the bi-fractional Brownian motion B^H1,K1. We also give the stable convergence of the sequence Sn by using the techniques of the Malliavin calculus.

关键词： Bi-fractional Brownian motion (bi-fBm) Malliavin calculus regression model

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One-year status of hepatic venous pressure gradient measurement from 85 hospitals in china

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Portal Hypertension & Cirrhosis 2024年第2期3卷 116-123页

作者： Jitao Wang Ting Cui Linpeng Zhang Zhiping yan Lei Li Jinjun Chen Junhui Sun Hua Xiang He Zhu Hao Wu Jiancuo Gengzang Feng Zhang Wei Wu Guohong Cao Wuhua Guo Haibin Shi Hui Xue guangjun Huang Qiang Yu Meng Niu Huiling Xiang Derun Kong Wei Gou Xuefeng Luo Fuliang He Min Yuan Wei Liu Yong Wang Hongjie Hu Xiaoli Zhu Tao Yu Qinxue Sun Wei Qu Ting Lu Deqiang Ma Li Zhang Jun Ma Jun yang Ketao Mu Xiaoliang Zhu Kai Xiong Huiguo Ding shengjuan Yao Mingsheng Huang Fang Wang Zexin Wang Yong Huang Jianan Li Hongfeng Yi Birun Huang Zhongwei Zhao Duiping Feng yanming Lei Changlong Hou Wenbo Guo Shirong Liu Gaojun Teng Kangshun Zhu Fan Wu Xiaogang Hu Wenfeng Zhang Shaoqi yang Zhouchao Hu Pengfei Pang Shaowu Zhuang Weidong Wang Qingliang Zhu Kunpeng Zhang Chengyu Liu Dongliang Li Chao Ma Hong Jiang Xingong Zhao Weixin Ren Zhiwei Wang Lei Yu Fuhuang Lin Chaoguang yan Feng Wang Lei Yu Hui Huan Wenyong shen Shaofei He Chengda Zhang Jinlun Bao Jiangtao Liu Jun Wu Jianbo Zhao Jian Zhang Xiaolong Qi Hebei Provincial Key Laboratory of Cirrhosis&Portal Hypertension Xingtai People's HospitalXingtaiHebeiChina Center of Portal Hypertension Department of RadiologyZhongda HospitalSchool of MedicineSoutheast UniversityNanjingJiangsuChina department of Interventional Therapy Beijing Shijitan Hospital Affiliated to Capital Medical UniversityBeijingChina department of Intervention Taiyuan Third People's HospitalTaiyuanShanxiChina department of Intervention Zhongshan Hospital Affiliated to Fudan UniversityShanghaiChina department of Interventional Medicine The First Hospital of Lanzhou UniversityLanzhouGansuChina department of Infectious Diseases Nanfang Hospital of Southern Medical UniversityGuangzhouGuangdongChina Hepatobiliary and Pancreatic Intervention Center The First Affiliated Hospital of Zhejiang University School of MedicineHangzhouZhejiangChina Interventional Vascular Surgery Hunan Provincial People's HospitalChangshaHunanChina department of Intervention Sixth People's Hospital of ShenyangShenyangLiaoningChina department of Gastroenterology West China Hospital of Sichuan UniversityChengduSichuanChina department of Intervention The Fourth People's Hospital of Qinghai ProvinceXiningQinghaiChina department of Gastroenterology Nanjing Drum Tower HospitalNanjingJiangsuChina department of Gastroenterology The First Affiliated Hospital of Wenzhou Medical UniversityWenzhouZhejiangChina department of Radiology Shulan(Hangzhou)HospitalHangzhouZhejiangChina department of Intervention Mengchao Hepatobiliary Hospital of Fujian Medical UniversityFuzhouFujianChina department of Interventional Radiology The First Affiliated Hospital of Nanjing Medical UniversityNanjingJiangsuChina department of Gastroenterology The First Affiliated Hospital of Xi'an Jiaotong UniversityXi'anShaanxiChina department of Gastroenterology Shandong Provincial Hospital Affiliated to Shandong First Medical UniversityJinanShandongChina department of Interventional Radiology Fifth Medical Center

Aims:Surveys and research on the applications of the hepatic venous pressure gradient(HVPG)are important for understanding the current status and future development of this technology in *** article aimed to investigate the status of hepatic venous pressure gradient measurement in china in ***:We investigated the overall status of HVPG technology in china-including hospital distribution,hospital level,annual number of cases,catheters used,average cost,indications,and current challenges by using online *** counting the number and percentages of cases of these results,we hope to clarify the current status of HVPG measurements in ***:According to the survey,85 hospitals in china used HVPG technology in 2022 distributed across 29 provinces.A total of 4989 HVPG measurements were performed in all of the surveyed hospitals in 2022,of which 2813 cases(56.4%)were measured *** average cost of HVPG measurement was 5646.8±2327.9 *** the clinical teams who performed the measurements(sometimes multiple per hospital),94.3%(82/87)used the balloon method,and the majority of the teams(72.4%,63/87)used embolectomy ***:This survey clarified the clinical application status of HVPG in china and confirmed that some medical institutions in china have established a foundation for this *** is still necessary to continue promoting and popularizing this technology in the future.

关键词： application status hepatic vein pressure gradient questionnaire survey

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