Quadratic forms of the empirical processes for the two-sample problem for functional data

R. Bárcenas; J. Ortega; A. J. Quiroz

doi:10.1007/s11749-017-0522-x

Quadratic forms of the empirical processes for the two-sample problem for functional data

R. Bárcenas, J. Ortega, A. J. Quiroz

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

The use of quadratic forms of the empirical process for the two-sample problem in the context of functional data is considered. The convergence of the family of statistics proposed to a Chi-squared limit is established under metric entropy conditions for smooth functional data. The applicability of the proposed methodology is evaluated in simulations and real data examples.

Original language	English (US)
Journal	Test
Volume	26
Issue number	3
DOIs	https://doi.org/10.1007/s11749-017-0522-x
State	Published - Sep 1 2017
Externally published	Yes

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abstract = "The use of quadratic forms of the empirical process for the two-sample problem in the context of functional data is considered. The convergence of the family of statistics proposed to a Chi-squared limit is established under metric entropy conditions for smooth functional data. The applicability of the proposed methodology is evaluated in simulations and real data examples.",

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AB - The use of quadratic forms of the empirical process for the two-sample problem in the context of functional data is considered. The convergence of the family of statistics proposed to a Chi-squared limit is established under metric entropy conditions for smooth functional data. The applicability of the proposed methodology is evaluated in simulations and real data examples.

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M3 - Article

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JO - Test

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ER -

Quadratic forms of the empirical processes for the two-sample problem for functional data

Abstract

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