Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2014; 51(5): 1399-1409

Printed September 30, 2014

https://doi.org/10.4134/BKMS.2014.51.5.1399

Copyright © The Korean Mathematical Society.

Uniform moderate deviation of sample quantiles and order statistics

ShouFang Xu and Yu Miao

Xinxiang University, Henan Normal University

Abstract

In this article, we establish the $\FFF_p$-uniform moderate deviation principles of the sample quantiles and order statistics for a sequence of independent and identically distributed samples.

Keywords: $p$-quantile, sample $p$-quantile, order statistics, uniform moderate deviation

MSC numbers: 62G30, 60F10