Estimation of sums of random variables: examples and information bounds

DOI10.1214/009053605000000390zbMath1086.62035arXivmath/0602214OpenAlexW2160464662MaRDI QIDQ2368845

Cun-Hui Zhang

Publication date: 28 April 2006

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

Full work available at URL: https://arxiv.org/abs/math/0602214

zbMATH Keywords

empirical Bayesnetworksinformation boundinfluence functionefficient estimationdata confidentialitydisclosure riskspecies problemnode degree

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Asymptotic properties of nonparametric inference (62G20) Applications of statistics to biology and medical sciences; meta analysis (62P10) Nonparametric estimation (62G05) Point estimation (62F10) Bayesian inference (62F15) Applications of statistics (62P99)

Related Items (13)

Asymptotic normality of a nonparametric estimator of sample coverage ⋮ De-biasing the Lasso with degrees-of-freedom adjustment ⋮ Moderate deviations for a nonparametric estimator of sample coverage ⋮ Simultaneous estimation based on empirical likelihood and general maximum likelihood estimation ⋮ Estimating and testing conditional sums of means in high dimensional multivariate binary data ⋮ Assessing Bayesian Semi‐Parametric Log‐Linear Models: An Application to Disclosure Risk Estimation ⋮ On the occupancy problem for a regime-switching model ⋮ A guided random walk through some high dimensional problems ⋮ A sufficient normality condition for Turing's formula ⋮ Compound Dirichlet Processes ⋮ Asymptotic properties of Turing's formula in relative error ⋮ Generalized maximum likelihood estimation of the mean of parameters of mixtures. With applications to sampling and to observational studies ⋮ Fast nonparametric estimation for convolutions of densities

Cites Work

• Unnamed Item
• Unnamed Item
• Contributions to a general asymptotic statistical theory. With the assistance of W. Wefelmeyer
• Relaxing the uniformity and independence assumptions using the concept of fractal dimension
• Estimating the Number of Species in a Stochastic Abundance Model
• Network Tomography: Estimating Source-Destination Traffic Intensities from Link Data
• Estimating a treatment effect under biased sampling.
• Estimating the superiority of a drug to a placebo when all and only those patients at risk are treated with the drug.
• A Note on Capture-Recapture Estimation
• An empirical Bayes estimation problem
• Estimating a multiplicative treatment effect under biased allocation
• Prediction and estimation for the compound Poisson distribution
• Asymptotic Statistics
• Efficiency of the u,v method of estimation
• On species frequency models
• THE POPULATION FREQUENCIES OF SPECIES AND THE ESTIMATION OF POPULATION PARAMETERS
• THE TRUNCATED NEGATIVE BINOMIAL DISTRIBUTION

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