Asymptotic properties of the product limit estimate under random truncation
From MaRDI portal
Publication:1110215
DOI10.1214/aos/1176350180zbMath0656.62048OpenAlexW2089793321MaRDI QIDQ1110215
Wei-Yann Tsai, Nicholas P. Jewell, Mei-Cheng Wang
Publication date: 1986
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aos/1176350180
weak convergenceasymptotic behaviorconsistencyKaplan-Meier estimatorcovariance structureproduct limit estimatorrandom truncation
Related Items
Partial sufficient dimension reduction on joint model of recurrent and terminal events ⋮ Augmented likelihood for incorporating auxiliary information into left-truncated data ⋮ Nonparametric Bayesian estimation of survival function under random left truncation ⋮ NONLINEAR WAVELET ESTIMATION OF CONDITIONAL DENSITY UNDER LEFT-TRUNCATED AND α-MIXING ASSUMPTIONS ⋮ Buckley-James-Type Estimator with Right-Censored and Length-Biased Data ⋮ Asymptotic behavior of the unconditional NPMLE of the length-biased survivor function from right censored prevalent cohort data ⋮ Asymptotic normality in conditional wavelet density with left-truncated α-mixing observations ⋮ The probability of degenerate maximum-likelihood estimates with randomly truncated survival data ⋮ Efficiency and optimal allocation in the staggered entry design ⋮ Causal estimation using semiparametric transformation models under prevalent sampling ⋮ A mass redistribution algorithm for right-censored and left-truncated time to event data ⋮ Analysis of multivariate recurrent event data with time-dependent covariates and informative censoring ⋮ Nonparametric and semiparametric regression estimation for length-biased survival data ⋮ Nonparametric estimation in the illness-death model using prevalent data ⋮ Robust variable selection of joint frailty model for panel count data ⋮ Analysis of dependently truncated data in Cox framework ⋮ Asymptotic theorems for estimating the distribution function under random truncation ⋮ Nonparametric estimation and consistency for renewal processes ⋮ Cox proportional hazards models with left truncation and time‐varying coefficient: Application of age at event as outcome in cohort studies ⋮ Expert Kaplan–Meier estimation ⋮ On a simple estimation of the proportional odds model under right truncation ⋮ Uniform confidence bands for hazard functions from censored prevalent cohort survival data ⋮ Multi-type insurance claim processes with high-dimensional covariates ⋮ Martingale approach to nonparametric estimation of lifetime distribution under different censoring mechanisms ⋮ Multivariate normal distribution approaches for dependently truncated data ⋮ An Odyssey to Incomplete Data: Winfried Stute’s Contribution to Survival Analysis ⋮ A strong uniform convergence rate of a kernel conditional quantile estimator under random left-truncation and dependent data ⋮ A nonparametric maximum likelihood estimation for biased-sampling data with zero-inflated truncation ⋮ Asymptotic properties for an M-estimator of the regression function with truncation and dependent data ⋮ Regression Analysis of Doubly Truncated Data ⋮ Product limit estimates: a generalized maximum likelihood study ⋮ Semiparametric model for prediction of individual claim loss reserving ⋮ Applying copula models to individual claim loss reserving methods ⋮ Stochastic calculus as a tool in survival analysis: A review ⋮ The competing risks illness–death model under cross-sectional sampling ⋮ A generalized product-limit estimator for truncated data ⋮ Stochastic calculus as a tool in survival analysis: A review ⋮ Semiparametric Analysis for Recurrent Event Data with Time-Dependent Covariates and Informative Censoring ⋮ Empirical Likelihood for Conditional Density Under Left Truncation and α-Mixing Condition ⋮ A goodness of fit test for left-truncated and right-censored data ⋮ Semiparametric left truncation and right censorship models with missing censoring indicators ⋮ Asymptotic Normality for Regression Function Estimate Under Truncation and α-Mixing Conditions ⋮ Composite Partial Likelihood Estimation Under Length-Biased Sampling, With Application to a Prevalent Cohort Study of Dementia ⋮ Non-parametric quantile estimate for length-biased and right-censored data with competing risks ⋮ Nonlinear wavelet estimator of the regression function under left-truncated dependent data ⋮ Nonparametric estimation of hazard functions and their derivatives under truncation model ⋮ Strong convergence in nonparametric regression with truncated dependent data ⋮ A Unified Approach to Semiparametric Transformation Models Under General Biased Sampling Schemes ⋮ Bootstrapping left truncated and right censored data ⋮ Semiparametric analysis of survival data with left truncation and right censoring ⋮ A goodness-of-fit test for parametric models based on dependently truncated data ⋮ Semiparametric estimation of the cumulative incidence function under competing risks and left-truncated sampling ⋮ Estimating a distribution function with truncated data ⋮ Local polynomial estimation of a conditional mean function with dependent truncated data ⋮ A pseudo-\(R^ 2\) measure for limited and qualitative dependent variable models ⋮ Quantile regression of right-censored length-biased data using the Buckley-James-type method ⋮ Analysis of two-sample truncated data using generalized logistic models ⋮ Asymptotic normality for estimator of conditional mode under left-truncated and dependent observations ⋮ Asymptotic Properties of Estimators in a Model of Life Data with Warnings ⋮ Estimation in two sample randomly truncated scale model ⋮ The shape of the hazard function for cancer incidence ⋮ Asymptotic properties of a nonparametric regression function estimator with randomly truncated data ⋮ Jackknife methods for left-truncated data ⋮ An embedded estimating equation for the additive risk model with biased-sampling data ⋮ Semiparametric inference of proportional odds model based on randomly truncated data ⋮ Nonparametric estimation of bivariate distribution under right truncation with application to panic disorder ⋮ Nonparametric estimation for censored lifetimes suffering from unknown selection bias ⋮ Confidence intervals for the ratio of two median residual lifetimes with left-truncated and right-censored data ⋮ Testing Goodness of Fit of a Uniform Truncation Model ⋮ Weak and strong quantile representations for randomly truncated data with applications, ⋮ An algorithm for estimating survival under a copula-based dependent truncation model ⋮ Testing quasi-independence for truncation data ⋮ Comparison of Several Confidence Intervals for Median Residual Lifetime with Left-truncated and Right-censored Data ⋮ Estimation of the truncation probability in the random truncation model ⋮ The strong law under random truncation ⋮ The Product-Limit Estimate as an Inverse-Probability-Weighted Average ⋮ Semiparametric analysis of recurrent events: artificial censoring, truncation, pairwise estimation and inference ⋮ Estimation in a competing risks proportional hazards model under length-biased sampling with censoring ⋮ Partial sufficient dimension reduction on additive rates model for recurrent event data with high-dimensional covariates ⋮ Nonparametric likelihood ratio confidence bands for quantile functions from incomplete survival data ⋮ Edgeworth Expansion and Bootstrap Approximation for Studentized Product-Limit Estimator with Truncated and Censored Data ⋮ A semiparametric model for truncated and censored data ⋮ Bivariate density estimation with randomly truncated data. ⋮ On the strong convergence of the product-limit estimator and its integrals under censoring and random truncation ⋮ Local polynomial quasi-likelihood regression with truncated and dependent data ⋮ Recurrent Events Analysis in the Presence of Terminal Event and Zero-recurrence Subjects ⋮ Parameter Estimation in Regression for Long-Term Survival Rate from Left-Truncated and Right-Censored Data ⋮ Convergence rate of the kernel regression estimator for associated and truncated data ⋮ Inference for probability of selection with dependently truncated data using a Cox model ⋮ Asymptotic normality of conditional density estimation with left-truncated and dependent data ⋮ Quantile process for left truncated and right censored data