2014Bulletin of the Korean Mathematical SocietyOpen access

UNIFORM MODERATE DEVIATION OF SAMPLE QUANTILES AND ORDER STATISTICS

Shoufang Xu, Yu Miao

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Abstract

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

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

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Available abstract

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

Key concepts: Quantile, Order statistic, Mathematics, Independent and identically distributed random variables, Statistics, Sample mean and sample covariance, Sample (material), Sequence (biology)

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