Bivariate estimation with left-truncated data

DOI10.1007/BF02669567zbMath0977.62043MaRDI QIDQ5942757

Haobao Ren, Liu-Quan Sun

Publication date: 24 January 2002

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

consistencyasymptotic normalitybivariate datakernel density estimationleft-truncation

Mathematics Subject Classification ID

Density estimation (62G07) Estimation in multivariate analysis (62H12) Asymptotic properties of nonparametric inference (62G20)

Cites Work

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• Some representations of the nonparametric maximum likelihood estimators with truncated data
• I.i.d. representations for the bivariate product limit estimators and the bootstrap versions
• The law of the iterated logarithm for empirical processes on Vapnik- Červonenkis classes
• Strong representations of the survival function estimator for truncated and censored data with applications
• Bivariate distribution and hazard functions when a component is randomly truncated
• Nonparametric estimation of the bivariate survival function with truncated data
• On the law of the iterated logarithm for canonical \(U\)-statistics and processes
• Almost sure representations of the product-limit estimator for truncated data
• Density Estimation with Bivariate Censored Data
• On Estimation of a Probability Density Function and Mode

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