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若干随机变量序列的大偏差估计

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摘要 利用Markov不等式和Cr-不等式,研究了在条件‖Xi‖p=(E|Xi|p)1p≤M<∞下的线性负象限相依(LN-QD)序列,α混合序列,ρ混合序列的大偏差估计。
出处 《甘肃科技》 2013年第4期65-66,62,共3页 Gansu Science and Technology
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参考文献12

  • 1Lesigne E,Volny D. Large deviations for martingales[ J].Stochastic Process Appl,2001,96( 1 ) : 143 -159.
  • 2Li Yu - lin. A martingale inequality and large deviations[J ]. Statistics and Probability Letters, 2003 ,62 (3 ) :317-321.
  • 3Hu Shu - he,Li Xiao - qin. Maximal inequalities for somedependent sequence and their appli - cations[ J]. KoreanStatistical Society,2011,40( 1) :11-19.
  • 4Guo Ming - le, Zhu Dong - jin. Equivalent conditions ofcomplete moment convergence of weighted sums for p -mixing sequence of random variables [ J]. Statistics andProbability Let - ters ,2013,83(2 ):13 -20.
  • 5Guo Dong - xing, Yang Shan - chao. A maximal momentinequality for a 一 mixing sequences and its applications[J]. Statistics and Probability Letters, 2009, 79 ( 12):1429-1437.
  • 6胡舒合,王学军.LARGE DEVIATIONS FOR SOME DEPENDENT SEQUENCES[J].Acta Mathematica Scientia,2008,28(2):295-300. 被引量:6
  • 7Hu Shu - he. Some new results for the strong law of largenumbers [ J ]. Acta Mathematica Scientia, 2003,46 (6):1123-1134.
  • 8Shao Qi - man. A comparison theorem on moment ine-qualities between negatively associated and independentrandom variables[ J]. J Theoretic Probab,2000,13 (2):343-356.
  • 9Li Bain - nian,Zhang Kong - sheng, Wu Li - bin. A sharpinequalities for martingales and its applications [ J ] . Sta-tistics and Probability Letters,2011,81(8) : 1260-1266.
  • 10Wang Xue - jun, Hu Shu - he. Maximal inequalities aridstrong law of large numbers for A AN A sequences [ J ].Korean Mathematical Society,2011,26( 1) : 151-161.

二级参考文献9

  • 1Lesigne E, Volny D. Large deviations for martingales. Stochastic Process Appl, 2001, 96:143- 159
  • 2Li Y L, A martingale inequality and large deviations. Statist Probab Lett, 2003, 62:317-321
  • 3Borovkov A A ed. Advances In Probability Theorem: Limit Theorems For Sums of Random Variables. Optimization Software, New York: Inc Publications Division, 1985. 73-114
  • 4Hu S H. Some new results for the strong law of large numbers. Acta Mathematica Sinica, 2003, 46: 1123-1134 (in Chinese)
  • 5Shao Q M. A comparison theorem on moment inequalities between negatively associated and independent random variables. J Theoretic Probab, 20007 13:343-356
  • 6Hall P, Heyde C C. Martingale Limit Theory and Its Application. New York London: Academic Press, INC, 1980
  • 7Hu S H. Estimate problem of regression model with linear process errors. Appl Math J Chinese Univ Ser A, 2003, 18A: 81-90
  • 8Tran L T, Roussas G G, Yakowitz S, et al. Fixed-design regression for linear time series. Ann Statist. 1996, 24:975-991
  • 9Longnecker M, Serfling R J. General moment and probability inequalities for the maximum partial sum. Acta Math Acad Sci Hungar, 1977, 30:129-133

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