Adaptive demixing in Poisson mixture models

DOI10.1214/aos/1069362730zbMath0876.62042OpenAlexW2031937886MaRDI QIDQ1364729

Nicolas W. Hengartner

Publication date: 1 December 1997

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1069362730

zbMATH Keywords

adaptive estimationoptimal rates of convergenceMISEHölder classPoisson mixturesSobolev classesdemixingorthonormal polynomial estimator

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Related Items (8)

Nonparametric estimation of mixing densities for discrete distributions ⋮ Solution of linear ill-posed problems using overcomplete dictionaries ⋮ Fisher-Pitman Permutation Tests Based on Nonparametric Poisson Mixtures with Application to Single Cell Genomics ⋮ Density deconvolution in the circular structural model ⋮ Estimating linear functionals in Poisson mixture models ⋮ Adaptive Laguerre density estimation for mixed Poisson models ⋮ Nonparametric estimation of the mixing density using polynomials ⋮ Estimation of a delta-contaminated density of a random intensity of Poisson data

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