Local central limit theorems, the high-order correlations of rejective sampling and logistic likelihood asymptotics

DOI10.1214/009053604000000706zbMath1068.62106arXivmath/0506300OpenAlexW3105346308MaRDI QIDQ2388359

Larry Goldstein, Richard Arratia, Bryan Langholz

Publication date: 12 September 2005

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

Full work available at URL: https://arxiv.org/abs/math/0506300

zbMATH Keywords

epidemiologyfrequency matching

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Applications of statistics to biology and medical sciences; meta analysis (62P10) Central limit and other weak theorems (60F05) Sampling theory, sample surveys (62D05) Estimation in survival analysis and censored data (62N02)

Related Items (7)

Uniform convergence of the empirical cumulative distribution function under informative selection from a finite population ⋮ Limiting behavior of high order correlations for simple random sampling ⋮ On the inclusion probabilities in some unequal probability sampling plans without replacement ⋮ Approximation of rejective sampling inclusion probabilities and application to high order correlations ⋮ Variance Estimation and Asymptotic Confidence Bands for the Mean Estimator of Sampled Functional Data with High Entropy Unequal Probability Sampling Designs ⋮ Binary Regression in Truncated Samples, with Application to Comparing Dietary Instruments in a Large Prospective Study ⋮ Bernstein-type exponential inequalities in survey sampling: conditional Poisson sampling schemes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Successive sampling in large finite populations
• Asymptotic theory for nested case-control sampling in the Cox regression model
• On the semi-parametric efficiency of logistic regression under case-control sampling
• Methods for the analysis of sampled cohort data in the Cox proportional hazards model
• Residuals for relative risk regression
• Logistic regression for two-stage case-control data
• Logistic disease incidence models and case-control studies
• Some results on the estimation of logistic models based on retrospective data
• Conditional logistic analysis of case-control studies with complex sampling
• Regression Analysis Under Non-standard Situations: A Pairwise Pseudolikelihood Approach
• Prospective Analysis of Logistic Case-Control Studies
• Properties of the Extended Hypergeometric Distribution
• Asymptotic Theory of Rejective Sampling with Varying Probabilities from a Finite Population
• Asymptotic Theory for Successive Sampling with Varying Probabilities Without Replacement, I
• Statistical models based on counting processes

This page was built for publication: Local central limit theorems, the high-order correlations of rejective sampling and logistic likelihood asymptotics