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Stein’s Method for Asymmetric α -stable Distributions, with Application to the Stable CLT Journal article
Journal of Theoretical Probability, 2020
Authors:  Chen,Peng;  Nourdin,Ivan;  Xu,Lihu
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Asymmetric α-stable distribution  Fractional Laplacian  Leave-one-out approach  Normal attraction  Stable central limit theorem  Stein’s method  
Large deviation for two-time-scale stochastic burgers equation Journal article
Stochastics and Dynamics, 2020
Authors:  Sun,Xiaobin;  Wang,Ran;  Xu,Lihu;  Yang,Xue
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large deviation  slow-fast  Stochastic Burgers equation  weak convergence  
Approximation to stable law by the Lindeberg principle Journal article
Journal of Mathematical Analysis and Applications, 2019,Volume: 480,Issue: 2
Authors:  Chen,Peng;  Xu,Lihu
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A Kolmogorov forward equation  Asymmetric α-stable distribution  Stable central limit theorem  The Lindeberg principle  
Exponential mixing for SPDEs driven by highly degenerate lévy noises Journal article
Illinois Journal of Mathematics, 2019,Volume: 63,Issue: 1,Page: 75-102
Authors:  Sun,Xiaobin;  Xie,Yingchao;  Xu,Lihu
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Approximation of stable law in Wasserstein-1 distance by Stein’s method1 Journal article
Annals of Applied Probability, 2019,Volume: 29,Issue: 1,Page: 458-504
Authors:  Xu,Lihu
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L1 discrepancy  Normal domain of attraction of stable law  Stable approximation  Stein’s method  Wasserstein-1 distance (W1 distance)  α-stable processes  
Approximation of stable law in Wasserstein-1 distance by Stein’s method Journal article
ANNALS OF APPLIED PROBABILITY, 2019,Volume: 29,Issue: 1,Page: 458-504
Authors:  Xu, Lihu
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Stable Approximation  Wasserstein-1 Distance (W-1 Distance)  Stein's Method  L-1 Discrepancy  Normal Domain Of Attraction Of Stable Law  Alpha-stable Processes  
Sparse poisson regression with penalized weighted score function Journal article
Electronic Journal of Statistics, 2019,Volume: 13,Issue: 2,Page: 2898-2920
Authors:  Jia,Jinzhu;  Xie,Fang;  Xu,Lihu
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Image reconstruction  Moderate deviation  Poisson regression  Tuning-free  ℓ1 consistency  ℓ1 penalization  
Uniform dimension results for a family of markov processes Journal article
Bernoulli, 2018,Volume: 24,Issue: 4B,Page: 3924-3951
Authors:  Sun,Xiaobin;  Xiao,Yimin;  Xu,Lihu;  Zhai,Jianliang
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Cover principles  Markov processes  Uniform Hausdorff dimension  
Uniform dimension results for a family of Markov processes Journal article
BERNOULLI, 2018,Volume: 24,Issue: 4B,Page: 3924-3951
Authors:  Sun, Xiaobin;  Xiao, Yimin;  Xu, Lihu;  Zhai, Jianliang
Favorite |  | TC[WOS]:1 TC[Scopus]:1 | Submit date:2018/10/30
Cover Principles  Markov Processes  Uniform Hausdorff Dimension  
Singular integrals of stable subordinator Journal article
STATISTICS & PROBABILITY LETTERS, 2018,Volume: 139,Page: 115-118
Authors:  Xu, Lihu
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Alpha-stable Subordinator  Singular Integral Of Alpha-stable Subordinator