Differential interval-wise testing for local inference in Sobolev spaces

Alessia Pini; Lorenzo Spreafico; Simone Vantini; Alessandro Vietti

doi:10.1007/978-3-319-55846-2_27

Differential interval-wise testing for local inference in Sobolev spaces

Alessia Pini^*, Lorenzo Spreafico, Simone Vantini, Alessandro Vietti

^*Corresponding author

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

We present a local non-parametric inferential technique - namely, the differential interval-wise testing, or D-IWT - able to test the distributional equality of two samples of functional data embedded in Sobolev spaces. D-IWT can impute differences between the two samples to specific parts of the domain and to specific orders of differentiation. The proposed technique is applied to the functional data analysis of a data set of tongue profiles.

Original language	English
Title of host publication	Functional statistics and related fields
Pages	203-210
Number of pages	8
DOIs	https://doi.org/10.1007/978-3-319-55846-2_27
Publication status	Published - 2017

Keywords

derivatives
domain selection
functional data analysis

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10.1007/978-3-319-55846-2_27

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title = "Differential interval-wise testing for local inference in Sobolev spaces",

abstract = "We present a local non-parametric inferential technique - namely, the differential interval-wise testing, or D-IWT - able to test the distributional equality of two samples of functional data embedded in Sobolev spaces. D-IWT can impute differences between the two samples to specific parts of the domain and to specific orders of differentiation. The proposed technique is applied to the functional data analysis of a data set of tongue profiles.",

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author = "Alessia Pini and Lorenzo Spreafico and Simone Vantini and Alessandro Vietti",

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T1 - Differential interval-wise testing for local inference in Sobolev spaces

AU - Pini, Alessia

AU - Spreafico, Lorenzo

AU - Vantini, Simone

AU - Vietti, Alessandro

PY - 2017

Y1 - 2017

N2 - We present a local non-parametric inferential technique - namely, the differential interval-wise testing, or D-IWT - able to test the distributional equality of two samples of functional data embedded in Sobolev spaces. D-IWT can impute differences between the two samples to specific parts of the domain and to specific orders of differentiation. The proposed technique is applied to the functional data analysis of a data set of tongue profiles.

AB - We present a local non-parametric inferential technique - namely, the differential interval-wise testing, or D-IWT - able to test the distributional equality of two samples of functional data embedded in Sobolev spaces. D-IWT can impute differences between the two samples to specific parts of the domain and to specific orders of differentiation. The proposed technique is applied to the functional data analysis of a data set of tongue profiles.

KW - derivatives

KW - domain selection

KW - functional data analysis

KW - derivatives

KW - domain selection

KW - functional data analysis

UR - http://hdl.handle.net/10807/119804

U2 - 10.1007/978-3-319-55846-2_27

DO - 10.1007/978-3-319-55846-2_27

M3 - Chapter

SN - 978-3-319-55845-5

SP - 203

EP - 210

BT - Functional statistics and related fields

ER -

Differential interval-wise testing for local inference in Sobolev spaces

Abstract

Keywords

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