On estimating mixing densities in discrete exponential family models

DOI10.1214/aos/1176324629zbMath0841.62027OpenAlexW2033483555MaRDI QIDQ1906193

Cun-Hui Zhang

Publication date: 18 March 1996

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

Full work available at URL: https://doi.org/10.1214/aos/1176324629

zbMATH Keywords

rate of convergenceupper boundskernel estimatorsderivativeslower boundscounting measureoptimal rate of convergenceFourier transformationexponential family of density functionsi.i.d. observationsmixing density function

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)

Related Items (11)

Nonparametric estimation of mixing densities for discrete distributions ⋮ Nonparametric density estimation from observations with multiplicative measurement errors ⋮ Fisher-Pitman Permutation Tests Based on Nonparametric Poisson Mixtures with Application to Single Cell Genomics ⋮ Compound decision theory and empirical Bayes methods ⋮ Density deconvolution in the circular structural model ⋮ Deconvolution with arbitrarily smooth kernels ⋮ A survey of nonparametric mixing density estimation via the predictive recursion algorithm ⋮ 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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