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Φ-MIXING: 作品数：21被引量：25H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关作者：杜午初凌能祥张维海邓学斌更多>>; 相关机构：浙江大学安徽工学院苏州大学广东商学院更多>>; 相关期刊：《Wuhan University Journal of Natural Sciences》《Acta Mathematicae Applicatae Sinica》《应用概率统计》《Chinese Annals of Mathematics,Series B》更多>>; 相关基金：国家自然科学基金安徽省自然科学基金更多>>

Convergence Properties for Arrays of Rowwise φ-Mixing Random Variables: 《Journal of Mathematical Research with Applications》2014年第5期608-618,共11页Xiaoqin LI; the National Natural Science Foundation of China(Grant Nos.11171001;11301004;11326172);the Natural Science Foundation of Anhui Province(Grant No.1408085QA02);Talents Youth Fund of Anhui ProvinceUniversities(Grant No.2012SQRL204);the Students Science Research Training Program of Anhui University(Grant Nos.KYXL2014013;KYXL2014016);Doctoral Research Start-up Funds Projects of Anhui University; Convergence properties for arrays of rowwise φ-mixing random variables are studied. As an application, the Chung-type strong law of large numbers for arrays of rowwise φ-mixing random variables is obtained. Our resu...; 关键词：φ-mixing random variables arrays of rowwise φ-mixing random variables stronglaw of large numbers.

Strong Consistency of M Estimator in Linear Model for φ-mixing Samples: 《Communications in Mathematical Research》2013年第1期32-40,共9页Wang Xue-jun Hu Shu-he Ling Ji-min Wei Yun-fei Chen Zhu-qiang Wang De-Hui; The NSF (11201001,11171001,11126176) of China;the NSF (1208085QA03) of Anhui Province;Provincial Natural Science Research Project (KJ2010A005) of Anhui Colleges;Doctoral Research Start-up Funds Projects of Anhui University;the Students’ Innovative Training Project (2012003) of Anhui University; The strong consistency of M estimator of regression parameter in linear model for φ-mixing samples is discussed by using the classic Rosenthal type inequality. We get the strong consistency of M estimator under lower...; 关键词：φ-mixing sample M estimator strong consistency

Moderate Deviations for M-estimators in Linear Models with φ-mixing Errors被引量：2: 《Acta Mathematica Sinica,English Series》2012年第6期1275-1294,共20页Jun FAN; Supported by National Natural Science Foundation of China (Grant Nos. 10871153 and 10971047); In this paper, the moderate deviations for the M-estimators of regression parameter in a linear model are obtained when the errors form a strictly stationary Ф-mixing sequence. The results are applied to study many d...; 关键词：Moderate deviations M-ESTIMATOR least absolute deviation estimator linear regression

On Moments of the Maximum of Partial Sums of Moving Average Processes under Dependence Assumptions: 《Acta Mathematicae Applicatae Sinica》2011年第4期691-696,共6页Xing-cai ZHOU Jin-guan LIN; Supported by the National Natural Science Foundation of China (No. 11001052, 10971097);the Anhui Provincial Natural Science Foundation (No. 11040606M04);the Anhui Provincial College Excellent Young Talents Foundation (No. 2009SQRZ176ZD); Let{Yi;-∞〈i〈∞}be a doubly infinite sequence of identically distributed φ-mixing random variables and let{ai;-∞〈i〈∞}be an absolutely summable sequence of real numbers. In this paper we study the moments of su...; 关键词：Moving average Φ-MIXING MOMENTS

Complete q-Moment Convergence of Moving Average Processes under -mixing Assumption被引量：4: 《Journal of Mathematical Research and Exposition》2011年第4期687-697,共11页Xing Cai ZHOU Jin Guan LIN; Supported by the National Natural Science Foundation of China (Grant Nos.10871001;10971097);the Anhui Provincial Natural Science Foundation of China (Grant No.11040606M04);the Anhui Province College Excellent Young Talents Fundation of China (Grant No.2009SQRZ176ZD); In this paper, we study the complete q-moment convergence of moving average processes under v-mixing assumption. The results obtained not only extend some previous known results, but also improve them.; 关键词：moving average Φ-MIXING complete moment convergence.

Complete Moment Convergence for Sequence of Identically Distributed φ-mixing Random Variables被引量：10: 《Acta Mathematica Sinica,English Series》2010年第4期679-690,共12页Ping Yan CHEN Ding Cheng WANG; supported by National Natural Science Foundation of China (Grant No. 60574002);supported by MASCOS grant from Australian Research Council;National Natural Science Foundation of China (Grant No. 70671018); In the paper we extend and generalize some results of complete moment convergence results （or the refinement of complete convergence） obtained by Chow [On the rate of moment complete convergence of sample sums and e...; 关键词：complete convergence complete moment convergence Φ-MIXING

Strong Stability of Linear Forms in φ-Mixing Random Variables被引量：2: 《Wuhan University Journal of Natural Sciences》2009年第1期6-10,共5页GAN Shixin; Supported by the National Natural Science Foundation of China(10671149); In this paper some new results of strong stability of linear forms in φ-mixing random variables are given. It is mainly proved that for a sequence of φ-mixing random variables {xn,n≥1} and two sequences of positive...; 关键词：strong stability linear form φ-mixing random variable sequence strong law of large numbers

Limiting Behavior of Delayed Sums of φ-Mixing under a Non-Identical Distribution Setup: 《Journal of Mathematical Research and Exposition》2008年第3期628-636,共9页CHEN Ping Yan LI Feng Ling; the National Natural Science Foundation of China （No. 60574002）.; We present an integral test to determine the limiting behavior of delayed sums under a non-identical distribution setup for φ-mixing sequence, and deduce Chover-type laws of the iterated logarithm for them. These com...; 关键词：stable distribution laws of the iterated logarithm delayed sum integral test

A weak invariance principle for self-normalized products of sums of mixing sequences: 《Applied Mathematics(A Journal of Chinese Universities)》2008年第2期183-189,共7页FU Ke-ang HUANG Wei; National Natural Science Foundation of China(10671176;10771192).; Let variables in the {X, Xn, n ≥ 1} be a sequence of strictly stationary φ-mixing positive random domain of attraction of the normal law. Under some suitable conditions the principle for self-normalized products of ...; 关键词：SELF-NORMALIZED product domain of attraction of the normal law Φ-MIXING Wiener process.

Strong Law of Large Numbers and Complete Convergence for Sequences of -Mixing Random Variables被引量：3: 《Wuhan University Journal of Natural Sciences》2007年第2期211-217,共7页GAN Shixin CHEN Pingyan QIU Dehua; Supported by the National Natural Science Foundation of China (10671149); We give some theorems of strong law of large numbers and complete convergence for sequences of φ-mixing random variables. In particular, Wittmann＇s strong law of large numbers and Teicher＇s strong law of large nnum...; 关键词：strong law of large numbers complete convergence φ-mixing random variable sequence Wittmann＇s strong law oflarge numbers Teicher＇s strong law of large numbers

Φ-MIXING