Efficient estimation in local parametric regression analysis

DOI10.1080/03610920008832611zbMath1019.62022OpenAlexW1994425302MaRDI QIDQ4541665

Michael Falk, Frank Marohn

Publication date: 28 July 2002

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920008832611

zbMATH Keywords

fuzzy setsexponential familiesregular estimatorsnormal equationsconditional distributionsLANefficient estimatorstinned empirical point processes

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) General nonlinear regression (62J02)

Cites Work

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• Mean squared error properties of kernel estimates of regression quantiles
• Nonparametric estimates of regression quantiles and their local Bahadur representation
• Kernel and nearest-neighbor estimation of a conditional quantile
• Mathematical theory of statistics. Statistical experiments and asymptotic decision theory
• Strong uniform consistency rates for estimators of conditional functionals
• Asymptotic properties of kernel estimators based on local medians
• Statistical inference for conditional curves: Poisson process approach
• An introduction to the theory of point processes
• Asymptotic normality of generalized functional estimators dependent on covariables
• Parametric statistical theory: with the assistance of R. Hamböker
• Asymptotically optimal tests for conditional distributions
• A course on point processes
• Estimation of conditional densities and sensitivity measures in nonlinear dynamical systems
• Local Linear Quantile Regression
• Fuzzy sets

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