Mathematical Methods of Statistics

, Volume 19, Issue 2, pp 121–135 | Cite as

Approximations for a multivariate hybrid process with applications to change-point detection

  • M. D. BurkeEmail author


We obtain probability inequalities and almost sure rates for the approximations of the hybrids of empirical and partial sums processes in the multivariate case. Applications to weighted bootstrap empirical processes as well as to change-point detection tests for general nonparametric regression models are discussed.

Key words

multivariate empirical processes partial sums change-point detection nonparametric regression rates of convergence 

2000 Mathematics Subject Classification

primary 60F17 secondary 62G08, 62F40 


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Copyright information

© Allerton Press, Inc. 2010

Authors and Affiliations

  1. 1.Dept. Math. and Statist.Univ. of CalgaryCalgaryCanada

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