| 宽象限相依序列下分位数估计的强相合性及Bahadur表示 |
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| 引用本文： | 蔡际盼,;丁立旺,;李永明.宽象限相依序列下分位数估计的强相合性及Bahadur表示[J].上饶师范学院学报,2014(6):5-10. |
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| 作者姓名： | 蔡际盼 ;丁立旺 ;李永明 |
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| 作者单位： | [1]广西师范学院数学科学学院,广西南宁530023; [2]广西财经学院信息与统计学院,广西南宁530003; [3]上饶师范学院,江西上饶334001 |
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| 基金项目： | 国家自然科学基金（11461057）; 江西省自然科学基金项目（20122BAB201007） |
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| 摘 要： | 本文在宽象限相依序列随机序列下,利用宽象限相依序列和的矩不等式及相关性质证明了分位数估计的强相合性并给出其Bahadur表示.
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| 关 键 词： | 宽象限相依序列 分位数估计 Bahadur表示 |
The Bahadur Representation and Strong Consistency of Quantile Estimates for Widely Orthant- dependent Random Variables |
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| Institution: | CAI Ji-pan, DING Li-wang, LI Yong-ming ( 1. Departmem of Mathematical Science) Guangxi Teachears Education University, Nanning, 30023, China;2. Department of Information and Statistics, Guangxi Finance University, Nanning, 530003, China;3.Shangrao Normal University, Shangrao, 334001, China) |
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| Abstract: | In this paper,based on widely orthant- dependent random sequences,we use the related properties of widely orthant- dependent random variables and moment inequality for its sum to prove the consistency of the quantile estimates and give its Bahadur representation. |
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| Keywords: | Widely orthant-dependent random variables quantile estimates Bahadur representation |
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