Median regression using nonparametric kernel estimation

DOI10.1080/10485250213907zbMath1017.62038OpenAlexW1994697357MaRDI QIDQ4804993

Sundarraman Subramanian

Publication date: 2 September 2003

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

Full work available at URL: https://doi.org/10.1080/10485250213907

zbMATH Keywords

asymptotic normalityleast absolute deviation\(U\)-statisticuniform consistencylocal linearitybandwidth sequence

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

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Mean and median-based nonparametric estimation of returns in mean-downside risk portfolio frontier ⋮ Asymptotically efficient estimation of a survival function in the missing censoring indicator model ⋮ Median regression model with left truncated and interval-censored data ⋮ Median regression model with left truncated and right censored data ⋮ Quantile regression for doubly truncated data ⋮ Nonparametric test for checking lack of fit of the quantite regression model under random censoring ⋮ Median regression model with doubly truncated data ⋮ Two nonparametric approaches to mean absolute deviation portfolio selection model ⋮ Empirical likelihood inference for censored median regression model via nonparametric kernel estimation ⋮ Inverse censoring weighted median regression ⋮ M-estimation of the accelerated failure time model under a convex discrepancy function ⋮ Median regression analysis from data with left and right censored observations ⋮ Censored median regression and profile empirical likelihood ⋮ A weighted quantile regression for left-truncated and right-censored data ⋮ Empirical likelihood for median regression model with designed censoring variables

Cites Work

• Censored regression quantiles
• A law of the logarithm for kernel density estimators
• Uniform consistency of the kernel conditional Kaplan-Meier estimate
• Quantile regression with censored data using generalized \(L_1\) minimization
• A large sample study of the life table and product limit estimates under random censorship
• Approximation Theorems of Mathematical Statistics
• Regression Quantiles
• Median regression and the missing information principle

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