ISSN 0253-2778

CN 34-1054/N

Open AccessOpen Access JUSTC

Berry-Esséen type bound of sample quantiles for positively associated sequence

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https://doi.org/10.3969/j.issn.0253-2778.2019.08.002
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  • Corresponding author: HU Xueping (corresponding author), male, born in 1972, master/Prof. Research field:Probability limit theory. E-mail: hxprob@163.com
  • Received Date: 08 May 2018
  • Rev Recd Date: 11 June 2018
  • Publish Date: 31 August 2019
  • By utilizing some inequalities for positively associated (PA) random variables, a Berry-Esséen type bound of sample quantiles for PA samples under mild conditions was studied. The rate of uniform asymptotic normality was presented and the rate of convergence is near O(n-1/6) when the third moment is finite.
    By utilizing some inequalities for positively associated (PA) random variables, a Berry-Esséen type bound of sample quantiles for PA samples under mild conditions was studied. The rate of uniform asymptotic normality was presented and the rate of convergence is near O(n-1/6) when the third moment is finite.
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