The space \(\tilde D_ k\) land weak convergence for the rectangle-indexed processes under mixing

DOI10.1016/0196-8858(90)90018-TzbMath0721.60037MaRDI QIDQ2640990

Michel Harel, Madan Lal Puri

Publication date: 1990

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

weighted empirical processSkorokhod topologyweak and strong mixing conditions

Mathematics Subject Classification ID

Convergence of probability measures (60B10) Functional limit theorems; invariance principles (60F17)

Related Items (4)

The marked empirical process to test nonlinear time series against a large class of alternatives when the random vectors are nonstationary and absolutely regular ⋮ Weak convergence of nonparametric estimators of the multidimensional and multidimensional-multivariate renewal functions on Skorohod topology spaces ⋮ Weak convergence for rectangle-indexed weighted multivariate empirical \(U\)-statistic processes under mixing conditions ⋮ Testing nonstationary and absolutely regular nonlinear time series models

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• Weak Convergence of a Two-sample Empirical Process and a New Approach to Chernoff-Savage Theorems
• On Weak Convergence of Stochastic Processes with Multidimensional Time Parameter

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