Nonparametric estimation of the lifetime and disease onset distributions for a survival-sacrifice model

DOI10.1214/19-EJS1598zbMath1429.62527MaRDI QIDQ2326056

Piet Groeneboom, Jon A. Wellner, Antonio Eduardo Gomes

Publication date: 4 October 2019

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ejs/1569290687

zbMATH Keywords

EM algorithmVolterra integral equationMLEprimal-dual interior point algorithmsmooth functionalsself-consistency equationsurvival sacrifice model

Mathematics Subject Classification ID

Density estimation (62G07) Applications of statistics to biology and medical sciences; meta analysis (62P10) Nonparametric estimation (62G05) Censored data models (62N01) Nonparametric statistical resampling methods (62G09)

Related Items

survival-sacrifice-model

Uses Software

• GitHub

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic properties of self-consistent estimators based on doubly censored data
• On differentiable functionals
• Large sample behaviour of the product-limit estimator on the whole line
• The central limit theorem under random censorship
• Asymptotics for a weighted least squares estimator of the disease onset distribution function for a survival\,-\,sacrifice model
• Nonparametric Estimation under Shape Constraints
• Efficient estimation of the lifetime and disease onset distribution
• Confidence Intervals for the Current Status Model
• Nonparametric Estimation of Lifetime and Disease Onset Distributions from Incomplete Observations
• Asymptotic normality of the NPMLE of linear functionals for interval censored data, case 1
• Consistency of the non-parametric maximum pseudo-likelihood estimator of the disease onset distribution function for a survival–sacrifice model
• The central limit theorem under censoring