Wavelet Thresholding Estimation in a Poissonian Interactions Model with Application to Genomic Data

DOI10.1111/sjos.12009zbMath1349.62121arXiv1107.4219OpenAlexW1661600545MaRDI QIDQ5413953

Laure Sansonnet

Publication date: 2 May 2014

Published in: Scandinavian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.4219

zbMATH Keywords

waveletsPoisson processadaptive estimation\(U\)-statisticsinteractions modeloracle inequalitiesthresholding rule

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Applications of statistics to biology and medical sciences; meta analysis (62P10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (6)

Concentration inequalities, counting processes and adaptive statistics ⋮ Concentration inequalities for Poisson point processes with application to adaptive intensity estimation ⋮ Intensity estimation of non-homogeneous Poisson processes from shifted trajectories ⋮ A model of Poissonian interactions and detection of dependence ⋮ Adaptive Warped Kernel Estimators ⋮ Nonparametric intensity estimation from noisy observations of a Poisson process under unknown error distribution

Cites Work

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• Maximum likelihood estimation of Hawkes' self-exciting point processes
• Adaptive estimation for Hawkes processes; application to genome analysis
• Adaptive density estimation: A curse of support?
• Adaptive estimation of the intensity of inhomogeneous Poisson processes via concentration inequalities
• On minimax density estimation on \(\mathbb R\)
• Density estimation by wavelet thresholding
• Adaptive estimation of the conditional intensity of marker-dependent counting processes
• Near optimal thresholding estimation of a Poisson intensity on the real line
• Compound Poisson approximation of word counts in DNA sequences
• Multiscale Poisson Intensity and Density Estimation
• Ten Lectures on Wavelets
• Biorthogonal bases of compactly supported wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• Ideal spatial adaptation by wavelet shrinkage
• An Introduction to the Theory of Point Processes
• Spectra of some self-exciting and mutually exciting point processes
• FADO: A Statistical Method to Detect Favored or Avoided Distances between Occurrences of Motifs using the Hawkes' Model

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