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March, 1975 Convergence of the Reduced Empirical Process for Non-I.I.D. Random Vectors
Georg Neuhaus
Ann. Statist. 3(2): 528-531 (March, 1975). DOI: 10.1214/aos/1176343084

Abstract

Any triangular array of row independent random vectors with continuous df's has a standard reduction to random vectors with values in the unit cube. The reduced empirical process belonging to the transformed random vectors is always relatively compact. Weak convergence to a (necessarily Gaussian) process holds iff the corresponding covariance kernel converges pointwise.

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Georg Neuhaus. "Convergence of the Reduced Empirical Process for Non-I.I.D. Random Vectors." Ann. Statist. 3 (2) 528 - 531, March, 1975. https://doi.org/10.1214/aos/1176343084

Information

Published: March, 1975
First available in Project Euclid: 12 April 2007

zbMATH: 0303.62014
MathSciNet: MR380917
Digital Object Identifier: 10.1214/aos/1176343084

Subjects:
Primary: 60B10
Secondary: 60G15

Rights: Copyright © 1975 Institute of Mathematical Statistics

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Vol.3 • No. 2 • March, 1975
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