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Rates of convergence of powered order statistics from general error distribution 被引量:1

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摘要 Let{Xn:n≥1}be a sequence of independent random variables with common general error distribution GED(v)with shape parameter v>0,and let Mn,r denote the r-th largest order statistics of X1,X2,...,Xn.With different normalizing constants the distributional expansions and the uniform convergence rates of normalized powered order statistics|Mn,r|p are established.An alternative method is presented to estimate the probability of the r-th extremes.Numerical analyses are provided to support the main results.
出处 《Statistical Theory and Related Fields》 CSCD 2023年第1期1-29,共29页 统计理论及其应用(英文)
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