scholarly journals Nonparametric estimation of a regression function with dependent observations

1994 ◽  
Vol 50 (1) ◽  
pp. 149-160 ◽  
Author(s):  
J.S. Wu ◽  
C.K. Chu
Keyword(s):  
Nonparametric Estimation ◽  
Regression Function ◽  
Dependent Observations

scholarly journals Optimal designs for nonparametric estimation of zeros of regression functions

2012 ◽  
Vol 51 (1) ◽  
pp. 55-65
Author(s):  
Zdeněk Hlávka
Keyword(s):  
Confidence Interval ◽  
Nonparametric Estimation ◽  
Regression Function ◽  
Optimal Designs ◽  
Nonparametric Estimators ◽  
Regression Functions ◽  
Expected Width

ABSTRACT We investigate nonparametric estimators of zeros of a regression function and its derivatives and we derive the distribution of design points minimizing the expected width of a confidence interval and the expected variance of the proposed estimator.

scholarly journals NONPARAMETRIC ESTIMATION WITH AGGREGATED DATA

2002 ◽  
Vol 18 (2) ◽  
pp. 420-468 ◽  
Author(s):  
Oliver Linton ◽  
Yoon-Jae Whang
Keyword(s):  
Monte Carlo ◽  
Characteristic Function ◽  
Asymptotic Normality ◽  
Nonparametric Estimation ◽  
Regression Function ◽  
Rates Of Convergence ◽  
Monte Carlo Experiment ◽  
Aggregated Data ◽  
Practical Performance ◽  
Consistency And Asymptotic Normality

We introduce a kernel-based estimator of the density function and regression function for data that have been grouped into family totals. We allow for a common intrafamily component but require that observations from different families be independent. We establish consistency and asymptotic normality for our procedures. As usual, the rates of convergence can be very slow depending on the behavior of the characteristic function at infinity. We investigate the practical performance of our method in a simple Monte Carlo experiment.

scholarly journals A Class of Local Linear Estimators with Functional Data

2019 ◽  
pp. 379-391 ◽  
Author(s):  
Sara Leulmi ◽  
Fatiha Messaci
Keyword(s):  
Nonparametric Estimation ◽  
Metric Space ◽  
Functional Data ◽  
Regression Function ◽  
Real Data ◽  
Random Variable ◽  
Data Set ◽  
Response Variable ◽  
Local Linear ◽  
Linear Estimators

We introduce a local linear nonparametric estimation for the generalized regression function of a scalar response variable given a random variable taking values in a semi metric space. We establish a rate of uniform consistency for the proposed estimators. Then, based on a real data set we illustrate the performance of a particular studied estimator with respect to other known estimators

scholarly journals Nonparametric Estimation of a Regression Function

1989 ◽  
Vol 17 (4) ◽  
pp. 1567-1596 ◽  
Author(s):  
Prabir Burman ◽  
Keh-Wei Chen
Keyword(s):  
Nonparametric Estimation ◽  
Regression Function
Sign in / Sign up

Export Citation Format

Share Document