On the Bahadur representation of sample quantiles for widely orthant dependent sequences | Zendy

Wenzhi Yang | Zendy; Tingting Liu | Zendy; Xuejun Wang | Zendy; Shuhe Hu | Zendy

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

Author(s) -

Wenzhi Yang,

Tingting Liu,

Xuejun Wang,

Shuhe Hu

Publication year - 2014

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1407333y

Subject(s) - orthant , mathematics , quantile , representation (politics) , nonparametric statistics , statistics , combinatorics , quantile regression , random variable , sample (material) , chemistry , chromatography , politics , political science , law

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 sequence. Our results extend the corresponding ones of Ling (2008), Xu et al. (2013) and Li et al. (2011) for the case of NA sequence or NOD sequence.

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