Estimation of a monotone density in \(s\)-sample biased sampling models

DOI10.1214/17-AOS1614zbMath1407.62117WikidataQ93386908 ScholiaQ93386908MaRDI QIDQ1800796

Kwun Chuen Gary Chan, Tony Sit, Hok Kan Ling, Sheung Chi Phillip Yam

Publication date: 24 October 2018

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

Full work available at URL: https://projecteuclid.org/euclid.aos/1534492831

zbMATH Keywords

density estimationKarush-Kuhn-Tucker conditionsnonparametric estimationempirical process theory\(s\)-sample biased samplingorder statistics from multiple samplesself-induced characterizationshape-constrained problem

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30)

Related Items

Censored quantile regression model with time‐varying covariates under length‐biased sampling, On asymptotic equivalence of the NPMLE of a monotone density and a Grenander-type estimator in multi-sample biased sampling models

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A law of the iterated logarithm for Grenander's estimator
• On the existence and uniqueness of the NPMLE in biased sampling models
• Empirical distributions in selection bias models
• Large sample theory of empirical distributions in biased sampling models
• Asymptotic normality of the \(L_1\) error of the Grenander estimator
• Likelihood ratio tests for monotone functions.
• A note on estimating a non-increasing density in the presence of selection bias
• Weak convergence and empirical processes. With applications to statistics
• Convergence of linear functionals of the Grenander estimator under misspecification
• Efficient estimation and stratified sampling
• Likelihood based inference for monotone response models
• Estimating Incident Population Distribution from Prevalent Data
• Nonparametric Estimation under Shape Constraints
• Nonparametric Estimation from Cross-Sectional Survival Data
• The Analysis of Retrospectively Ascertained Data in the Presence of Reporting Delays
• Weighted Distributions and Size-Biased Sampling with Applications to Wildlife Populations and Human Families
• Size Bias in Line Transect Sampling
• Asymptotic normality of the NPMLE of linear functionals for interval censored data, case 1
• A Semiparametric Empirical Likelihood Method for Biased Sampling Schemes with Auxiliary Covariates