On the Chernoff-Savage theorem for dependent sequences

DOI10.1007/BF02480326zbMath0457.62021OpenAlexW1964306900MaRDI QIDQ1151207

Pi-Erh Lin, Ibrahim A. Ahmad

Publication date: 1980

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02480326

zbMATH Keywords

asymptotic normalityempirical processesstrong mixing sequencesChernoff-Savage theoremuniformly mixingdependent sequencestwo-sample linear rank statistics

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)

Related Items (5)

The space \(\tilde D_ k\) land weak convergence for the rectangle-indexed processes under mixing ⋮ Weak convergence of multidimensional rank statistics under \(\phi\)-mixing conditions ⋮ Weak convergence of the linear rank statistics under strong mixing conditions ⋮ On quantile processes for m-dependent Rv's ⋮ Asymptotic normality of two-sample linear rank statistics under association

Cites Work

• Unnamed Item
• Unnamed Item
• Convergence of empirical processes of mixing rv's on \([0,1\)]
• Weak convergence of a two-sample empirical process and a Chernoff-Savage theorem for \(\varphi\)-mixing sequences
• Weak convergence of multidimensional empirical processes for strong mixing sequences of stochastic vectors
• Weak Convergence of a Two-sample Empirical Process and a New Approach to Chernoff-Savage Theorems
• Contributions to Central Limit Theory for Dependent Variables
• Convergence of Distributions Generated by Stationary Stochastic Processes
• Extensions of Billingsley's theorems on weak convergence of empirical processes

This page was built for publication: On the Chernoff-Savage theorem for dependent sequences