scholarly journals The Bahadur Representation for Sample Quantiles Under Dependent Sequence

2019 ◽  
Vol 35 (3) ◽  
pp. 521-531
Author(s):  
Wen-zhi Yang ◽  
Shu-he Hu ◽  
Xue-jun Wang
Keyword(s):  
Bahadur Representation ◽  
Dependent Sequence ◽  
Sample Quantiles

A note on the Bahadur representation of sample quantiles for α-mixing random variables

2011 ◽  
Vol 165 (3-4) ◽  
pp. 579-596 ◽  
Author(s):  
Guo-dong Xing ◽  
Shan-chao Yang ◽  
Yan Liu ◽  
Ke-ming Yu
Keyword(s):  
Random Variables ◽  
Bahadur Representation ◽  
Sample Quantiles ◽  
Mixing Random Variables

On Bahadur representation for sample quantiles under α-mixing sequence

2012 ◽  
Vol 55 (2) ◽  
pp. 285-299 ◽  
Author(s):  
Qinchi Zhang ◽  
Wenzhi Yang ◽  
Shuhe Hu
Keyword(s):  
Bahadur Representation ◽  
Sample Quantiles ◽  
Mixing Sequence

scholarly journals On the Bahadur representation of sample quantiles for widely orthant dependent sequences

Filomat ◽  
2014 ◽  
Vol 28 (7) ◽  
pp. 1333-1343 ◽  
Author(s):  
Wenzhi Yang ◽  
Tingting Liu ◽  
Xuejun Wang ◽  
Shuhe Hu
Keyword(s):  
Random Variables ◽  
Bahadur Representation ◽  
Negatively Associated ◽  
Statistics And Probability ◽  
Na Random Variables ◽  
End Random Variables ◽  
Widely Orthant Dependent ◽  
Na Sequences ◽  
Nod Sequence ◽  
Sample Quantiles

It can be found that widely orthant dependent (WOD) random variables are weaker than extended negatively orthant dependent (END) random variables, while END random variables are weaker than negatively orthant dependent (NOD) and negatively associated (NA) random variables. In this paper, we investigate the Bahadur representation of sample quantiles based on WOD sequences. Our results extend the corresponding ones of Ling [N.X. Ling, The Bahadur representation for sample quantiles under negatively associated sequence, Statistics and Probability Letters 78(16) (2008), 2660-2663], Xu et al. [S.F. Xu, L. Ge, Y. Miao, On the Bahadur representation of sample quantiles and order statistics for NA sequences, Journal of the Korean Statistical Society 42(1) (2013), 1-7] and Li et al. [X.Q. Li, W.Z. Yang, S.H. Hu, X.J. Wang, The Bahadur representation for sample quantile under NOD sequence, Journal of Nonparametric Statistics 23(1) (2011), 59-65] for the case of NA sequences or NOD sequences.

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