Weak convergence of the serial linear rank statistic with unbounded scores and regression constants under mixing conditions

DOI10.1016/0378-3758(90)90064-2zbMath0719.62029OpenAlexW2053866327MaRDI QIDQ2640267

Michel Harel, Madan Lal Puri

Publication date: 1990

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(90)90064-2

zbMATH Keywords

Gaussian processSkorokhod topologystrong mixingregression constantsunbounded score functionsgraduate empirical processesphi- mixingserial linear rank statisticsweak convergence graduate rank process

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Convergence of probability measures (60B10)

Related Items (1)

Some asymptotic results for a broad class of nonparametric statistics

Cites Work

• Weak convergence of multidimensional rank statistics under \(\phi\)-mixing conditions
• On the empirical process of multivariate, dependent random variables
• Asymptotic normality of nonparametric tests for independence
• Convergence of empirical processes of mixing rv's on \([0,1\)]
• Weak convergence of generalized empirical processes relative to \(d_q\) under strong mixing
• Asymptotic distributions of multivariate rank order statistics
• Central limit theorems for empirical measures
• Asymptotic normality of multivariate linear rank statistics in the non- i.i.d. case
• Weak convergence of a two-sample empirical process and a Chernoff-Savage theorem for \(\varphi\)-mixing sequences
• Weak Convergence of a Two-sample Empirical Process and a New Approach to Chernoff-Savage Theorems
• Asymptotic Normality of Nonparametric Tests for Independence
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