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With the continuous growth of online news articles,there arises the necessity for an efficient abstractive summarization technique for the problem of information overloading.Abstractive summarization is highly complex...
The past two decades have witnessed the active development of a rich probability theory of Studentized statistics or self-normalized processes, typified by Student’s t-statistic as introduced by W. S. Gosset more tha...
Research supported by Grants from the National Natural Science Foundation of China(No.11225104);the 973 Program(No.2015CB352302)and the Fundamental Research Funds for the Central Universities.
G-Brownian motion has a very rich and interesting new structure that nontrivially generalizes the classical Brownian motion.Its quadratic variation process is also a continuous process with independent and stationary ...
Grants from the National Natural Science Foundation of China(No.11225104);973 Program(No.2015CB352302);the Fundamental Research Funds for the CentralUniversities.
The sub-linear expectation or called G-expectation is a non-linear expectation having advantage of modeling non-additive probability problems and the volatilityuncertainty in finance.Let{Xn;n≥1}be a sequence of indep...
Supported by National Natural Science Foundation of China(Grant Nos.11301481,11371321 and 10901138);National Statistical Science Research Project of China(Grant No.2012LY174);Zhejiang Provincial Natural Science Foundation of China(Grant No.LQ12A01018);the Fundamental Research Funds for the Central Universities and Zhejiang Provincial Key Research Base for Humanities and Social Science Research(Statistics)
Let {X, Xn; n ≥ 0} be a sequence of independent and identically distributed random variables with EX=0, and assume that EX^2I(|X| ≤ x) is slowly varying as x →∞, i.e., X is in the domain of attraction of the n...
Project supported by the National Natural Science Foundation of China;an NSERC Canada grant of M.Csorgo at Carletoa University of Canada;the Fok Yingtung Education Foundation;an NSERC Canada Scientific Exchange Award at Carleton University
Using suitable self-normalization for partial sums of i.i.d.random variables,Griffin and Kuelbs established the law of the iterated logarithm for all distributions in the domain of attraction of a normal law.We obtain...