Adaptive tests for periodic signal detection with applications to laser vibrometry

DOI10.1051/ps:2006002zbMath1141.62302OpenAlexW2119064652MaRDI QIDQ3373753

Magalie Fromont, Céline Lévy-Leduc

Publication date: 9 March 2006

Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PS_2006__10__46_0

zbMATH Keywords

adaptive testminimax separation ratesperiodic signal detection

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Minimax procedures in statistical decision theory (62C20) Detection theory in information and communication theory (94A13) Statistical aspects of information-theoretic topics (62B10)

Related Items (2)

Minimax hypothesis testing for curve registration ⋮ Adaptive minimax testing in the discrete regression scheme

Cites Work

• Unnamed Item
• Minimax nonparametric detection of signals in white Gaussian noise
• Time series: theory and methods.
• Testing goodness-of-fit in regression via order selection criteria
• Minimax nonparametric hypothesis testing: The case of an inhomogeneous alternative
• Asymptotically minimax hypothesis testing for nonparametric alternatives. III
• Adaptive hypothesis testing using wavelets
• Adaptive tests of linear hypotheses by model selection
• Asymptotically exact nonparametric hypothesis testing in sup-norm and at a fixed point
• Adaptive estimation of a quadratic functional by model selection.
• Minimax testing composite null hypotheses in the discrete regression scheme
• Adaptive and spatially adaptive testing of a nonparametric hypothesis.
• Non-asymptotic minimax rates of testing in signal detection
• Nonlinear time series. Nonparametric and parametric methods
• The Estimation and Tracking of Frequency
• An Adaptive, Rate-Optimal Test of a Parametric Mean-Regression Model Against a Nonparametric Alternative
• Testing a Regression Model When We Have Smooth Alternatives in Mind
• Semiparametric estimation of the frequency of unknown periodic functions and its application to laser vibrometry signals
• An alternative point of view on Lepski's method

This page was built for publication: Adaptive tests for periodic signal detection with applications to laser vibrometry