On Complete Convergence for the Hybrid Process

DOI10.1080/03610926.2012.750360zbMath1337.60035OpenAlexW2061356801MaRDI QIDQ5259111

Sergio Alvarez-Andrade

Publication date: 24 June 2015

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2012.750360

zbMATH Keywords

complete convergenceGaussian processesempirical processesBaum-Katz lawDavis lawhybrid processes

Mathematics Subject Classification ID

Gaussian processes (60G15) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17)

Related Items (1)

Almost sure central limit theorem for the hybrid process

Cites Work

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• Testing the functions defining a nonlinear autoregressive time series
• Precise asymptotics in the law of the iterated logarithm and the complete convergence for uniform empirical process
• A nonparametric test for the regression function: Asymptotic theory
• Approximations for weighted bootstrap processes with an application
• Approximations for hybrids of empirical and partial sums processes
• Precise asymptotics in the Baum-Katz and Davis laws of large numbers
• Precise asymptotics in the law of the iterated logarithm.
• Goodness-of-fit tests for nonlinear heteroscedastic regression models
• Approximations for a multivariate hybrid process with applications to change-point detection
• Weighted Approximations to Continuous Time Martingales with Applications

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