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《Journal of Southwest University(Natural Science Edition)》 2018-11
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The Asymptotic Properties of Locations of the Second Maximum and Minimum of Stationary Sequences

BU Xue-yan;CHEN Shou-quan;School of Mathematics and Statistics,Southwest University;  
In this paper,we discuss the asymptotic independence of the normalized second maximum and its location under a long-range dependence condition.Further,we give the asymptotic independence of the joint locations of the second maximum and the joint locations of the second minimum.
【Fund】: 国家自然科学基金项目(11571283)
【CateGory Index】: O211.4
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【Citations】
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【Co-citations】
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1 LIU Chuandi;PENG Zuoxiang;;Large Almost Sure Convergence in the Joint Version for the Maxima and Minima of Multivariate Gaussian Sequence[J];应用数学学报;2014-01
2 Cunhua Zhang Dept.of Math.,Lanzhou Jiaotong University,Lanzhou 730070;TRAVELLING FRONT SOLUTIONS IN A DIFFUSIVE VECTOR DISEASE MODEL WITH SPATIO-TEMPORAL DELAY[J];Annals of Differential Equations;2012-04
3 LIU Chuan-di,PENG Zuo-xiangSchool of Mathematics and Statistics,Southwest University,Chongqing 400715,China;A Joint Version of Almost Sure Convergence of the Maxima and the Partial Sums of Nonstationary Gaussian Sequences[J];西南大学学报(自然科学版);2011-01
4 Cun-hua ZHANG,Xiang-ping YAN (Department of Mathematics,Lanzhou Jiaotong University,Lanzhou 730070,P.R.China);Wavefront solutions in diffusive Nicholson’s blowflies equation with nonlocal delay[J];Applied Mathematics and Mechanics(English Edition);2010-03
5 ZHANG Cun-hua,YAN Xiang-ping(Department of Mathematics,Lanzhou Jiaotong University,Lanzhou 730070,P.R.China);Wavefront Solutions in the Diffusive Nicholson's Blowflies Equation With Nonlocal Delay[J];应用数学和力学;2010-03
6 TONG Jin-jun,PENG Zuo-xiang School of Mathematics and Statistics,Southwest University,Chongqing 400715,China;Joint Distribution of Maxima of Complete and Incomplete Samples from Discrete Random Variables[J];西南大学学报(自然科学版);2010-01
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1 CHEN Zhi-cheng,PENG Zuo-xiang School of Mathematics and Statistics,Southwest University,Chongqing 400715,China;Almost Sure Limit Theorem for the Maximum of Stationary Gaussian Vector Sequences[J];西南大学学报(自然科学版);2007-03
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