Higher-order expansions of powered extremes of normal samples

DOI10.1016/j.spl.2016.01.003zbMath1334.62030arXiv1512.08879OpenAlexW2963792434MaRDI QIDQ273821

Wei Zhou, Chengxiu Ling

Publication date: 22 April 2016

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.08879

zbMATH Keywords

convergence ratehigher-order expansionpowered extremes

Mathematics Subject Classification ID

Gaussian processes (60G15) Asymptotic distribution theory in statistics (62E20) Probability distributions: general theory (60E05) Strong limit theorems (60F15)

Related Items

Rates of convergence of powered order statistics from general error distribution ⋮ Higher-order expansions of powered extremes of normal samples ⋮ Moment convergence of powered normal extremes ⋮ Asymptotic behavior of bivariate Gaussian powered extremes ⋮ Asymptotic expansions of powered skew-normal extremes

Cites Work

• Unnamed Item
• Density expansions of extremes from general error distribution with applications
• Higher-order expansions of powered extremes of normal samples
• Expansions for log densities of asymptotically normal estimates
• Extremes and related properties of random sequences and processes
• Rates of convergence for densities in extreme value theory
• Asymptotic distribution and moments of normal extremes
• Edgeworth expansion of densities of order statistics with fixed rank
• Second-order regular variation and rates of convergence in extreme-value theory
• Convergence rate of extremes from Maxwell sample
• Rates of convergence of extreme for asymmetric normal distribution
• Tail Properties and Asymptotic Expansions for the Maximum of the Logarithmic Skew-Normal Distribution
• Estimating probabilities for normal extremes
• Uniform rates of convergence in extreme-value theory
• On the rate of convergence of normal extremes