Detecting whether a stochastic process is finitely expressed in a basis

DOI10.1016/j.acha.2023.101578arXiv2111.01542OpenAlexW3209611890MaRDI QIDQ6051162

Victor M. Panaretos, Neda Mohammadi

Publication date: 19 September 2023

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.01542

zbMATH Keywords

hypothesis testingcovariance operator

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Signal detection and filtering (aspects of stochastic processes) (60G35) Detection theory in information and communication theory (94A13)

Cites Work

• Uniform convergence rates for nonparametric regression and principal component analysis in functional/longitudinal data
• One-sided inference about functionals of a density
• On determining the irrationality of the mean of a random variable
• Determining the form of the mean of a stochastic process
• A topological criterion for hypothesis testing
• Nonparametric estimation of common regressors for similar curve data
• Testing for the rank of a covariance operator
• Assessing the Finite Dimensionality of Functional Data
• Data compression and harmonic analysis
• Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators

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