Weak convergence of the linear rank statistics under strong mixing conditions

DOI10.1016/J.SPL.2017.09.001zbMath1380.60037OpenAlexW2759676792MaRDI QIDQ1686360

Lucia Tabacu

Publication date: 22 December 2017

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

Full work available at URL: https://doi.org/10.1016/j.spl.2017.09.001

zbMATH Keywords

weak convergencestrong mixing\(U\)-statisticsrank statistics\(p\)-continuity

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)

Related Items (1)

The Berry–Esseen-type bound for the G-M estimator in a nonparametric regression model with α-mixing errors

Cites Work

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• Approximation theorems for strongly mixing random variables
• Central limit theorem and the bootstrap for \(U\)-statistics of strongly mixing data
• On the Chernoff-Savage theorem for dependent sequences
• Rank statistics under dependent observations and applications to factorial designs
• Weak convergence of a two-sample empirical process and a Chernoff-Savage theorem for \(\varphi\)-mixing sequences
• Logarithmic quantile estimation for rank statistics
• Limit theorems for functionals of mixing processes with applications to $U$-statistics and dimension estimation

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