期刊文献+

带延拓负上限相关的随机变量和的精确大偏差 被引量:7

Precise Large Deviations for Sums of Extended Negatively Upper Orthant Dependent Random Variables with Consistently Varying Tailed Distribution
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摘要 利用精确大偏差传统方法,研究了C类族上的带有延拓的负上限相关的随机变量和的精确大偏差,得到了非随机和和随机和的两种一致变化尾概率的结果,将带负上限相依的随机变量和的精确大偏差推广到带延拓的负上限相依的情形,为相应的统计研究提供了一个有关相依性的结论. We use the traditional method to investigate the precise large deviation for the extended negatively upper orthant dependent random sum in the consistently varying tailed distributions,and propose asymptotic relation for both the partial sum,which extends the results of negative upper orthant dependent random variables and provides a relevant dependency conclusion for the corresponding statistics research.
出处 《北华大学学报(自然科学版)》 CAS 2012年第4期398-400,共3页 Journal of Beihua University(Natural Science)
基金 教育部科学技术研究重点项目(211039)
关键词 延拓的负上限相关 一致变化尾 精确大偏差 extended negatively upper orthant dependent consistently varying tail precise large deviation
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参考文献9

  • 1C Kluppelberg,T Mikosch. Large Deviations of Heavy-Tailed Random Sums with Applications in Insurance and Finance[J].Journal of Applied Probability,1997.293-308. 被引量:1
  • 2Ng K W,Tang Q,Yan J A. Precise Large Deviation for Sums of Random Variables with Consistently Varying Tails[J].Journal of Applied Probability,2004.93-107. 被引量:1
  • 3Tang Q. Insensitivity to Negative Dependence of the Asymptotic Behavior of Precise Large Deviations[J].Electronic Journal of Probability,2006,(04):107-120. 被引量:1
  • 4汪世界.带一致变化尾上负相关随机变量和的精确大偏差[J].合肥工业大学学报(自然科学版),2010,33(3):464-466. 被引量:5
  • 5Kumar J D,Frank P. Negative Association of Random Variables with Applications[J].Annals of Statistics,1983,(01):286-295. 被引量:1
  • 6陈琳,刘维奇.重尾分布族及其关系图[J].高校应用数学学报(A辑),2009,24(2):166-174. 被引量:22
  • 7苏淳,胡治水,唐启鹤.关于非负分布重尾程度的刻画[J].数学进展,2003,32(5):606-614. 被引量:23
  • 8Liu L. Precise Large Deviation for Dependent Random Variables with Heavy Tails[J].Statistics & Probability Letters,2009.1290-1298. 被引量:1
  • 9Chen Y,Chen A. The Strong Law of Large Numbers for Extended Negatively Dependent Random Variables[J].Journal of Applied Probability,2010.908-922. 被引量:1

二级参考文献6

共引文献42

同被引文献26

  • 1刘艳,胡亦钧.Large deviations for heavy-tailed random sums of independent random variables with dominatedly varying tails[J].Science China Mathematics,2003,46(3):383-395. 被引量:11
  • 2Ng K W,Tang Q, Yan J A,et. al. Precise Large Deviation for Sums of Random Variables with Consistently Varying Tails [ J ]. J Appl Prob ,2004,41:93 - 107. 被引量:1
  • 3D Konstantinides, F Loukissas. Precise Large Deviations for Sums of Negatively Dependent Random Variables with Common Long-Tailed Distributions [ J ] . Statistics-Theory and Methods,2011,40 : 3663 - 3671. 被引量:1
  • 4Ng K W, Tang Q, Yang J A, et al. Precise Large Deviation for Sums of Random Variables with Con- sistently Varying Tails[ J]. Journal of Applied Prob- ability ,201M ,41 ( 1 ) :93 - 107. 被引量:1
  • 5Tang Q. Insensitivity to Negative Dependence of the Asymptotic Behavior of Precise Large Deviations[ J ]. Electronic Journal of Probability,2006,11 (4) : 107 - 120. 被引量:1
  • 6Chen Y, Zhang W. Large Deviations for Random Sums of Negatively Dependent Random Variables with Consistently Tails [ J ]. Statistics & Probability Letters,2007,77 (5) :530 - 538. 被引量:1
  • 7Liu L. Precise Large Deviation for Dependent Ran- dom Variables with Heavy Tails [ J ]. Statistics & Probability Letters ,2009,79 ( 9 ) : 1290 - 1298. 被引量:1
  • 8Yang Y, Wang K. Uniform Asymptotics for the Fi- nite-time and Infinite-time Ruin Probabilities in a Dependent Risk Model with Constant Interest Rate and Heavy-tailed Claims [ J ]. Lithuanian Mathemati- cal Journal,2012,52( 1 ) :lll -121. 被引量:1
  • 9Konstantinides D G, Loukissas F. Precise Large De- viations for Sums of Negatively Dependent Random Variables with Common Long-tailed Distributions [ J]. Communications in Statistics-theory and Meth- ods ,2011,40(19) :3663 - 3671. 被引量:1
  • 10Ng K W, Tang Q, Yang J A, et al. Precise large deviation for sums of random variables with Consis- tently varying tails[J].Journal of Applied Probability, 2004,41(1) :93-107. 被引量:1

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