scholarly journals On the uniform consistency of frequency polygons for ρ^--mixing samples

2021 ◽  
pp. 1287-1298
Author(s):  
Wei Wang ◽  
Haiwu Huang ◽  
Yi Wu ◽  
Kan Chen
Keyword(s):  
Uniform Consistency ◽  
Frequency Polygons

On the uniform consistency of frequency polygons for ψ-mixing samples

2015 ◽  
Vol 44 (2) ◽  
pp. 179-186 ◽  
Author(s):  
Guo-dong Xing ◽  
Shan-chao Yang ◽  
Xin Liang
Keyword(s):  
Uniform Consistency ◽  
Frequency Polygons

Rate of uniform consistency for nonparametric estimates with functional variables

2010 ◽  
Vol 140 (2) ◽  
pp. 335-352 ◽  
Author(s):  
Frédéric Ferraty ◽  
Ali Laksaci ◽  
Amel Tadj ◽  
Philippe Vieu
Keyword(s):  
Uniform Consistency ◽  
Nonparametric Estimates

Asymptotic behaviour of frequency polygons under φ-mixing samples

2017 ◽  
Vol 47 (21) ◽  
pp. 5369-5377
Author(s):  
Suling Kang ◽  
Rashid Abbasi ◽  
Huiling Wang ◽  
Lixiang Xu ◽  
Xiaofeng Wang ◽  
...  
Keyword(s):  
Asymptotic Behaviour ◽  
Frequency Polygons

Functional least squares estimators in an additive effects outliers model

1990 ◽  
Vol 48 (2) ◽  
pp. 299-319 ◽  
Author(s):  
Sunil K. Dhar
Keyword(s):  
Asymptotic Behavior ◽  
Weak Convergence ◽  
Gaussian Process ◽  
Least Squares ◽  
Strong Consistency ◽  
Additive Effects ◽  
Uniform Consistency ◽  
Least Squares Estimators

AbstractConsider the additive effects outliers (A.O.) model where one observes , with The sequence of r.v.s is independent of and , are i.i.d. with d.f. , where the d.f.s Ln, n ≦ 0, are not necessarily known and εj's are i.i.d.. This paper discusses the asymptotic behavior of functional least squares estimators under the above model. Uniform consistency and uniform strong consistency of these estimators are proven. The weak convergence of these estimators to a Gaussian process and their asymptotic biases are also discussed under the above A.O. model.

scholarly journals LOCAL LINEAR FITTING UNDER NEAR EPOCH DEPENDENCE: UNIFORM CONSISTENCY WITH CONVERGENCE RATES

2012 ◽  
Vol 28 (5) ◽  
pp. 935-958 ◽  
Author(s):  
Degui Li ◽  
Zudi Lu ◽  
Oliver Linton
Keyword(s):  
Convergence Rates ◽  
Regression Function ◽  
Linear Estimator ◽  
Uniform Consistency ◽  
Linear Fitting ◽  
Semiparametric Modeling ◽  
Local Linear Fitting ◽  
Local Linear ◽  
Local Linear Estimator ◽  
Nonparametric Kernel

Local linear fitting is a popular nonparametric method in statistical and econometric modeling. Lu and Linton (2007, Econometric Theory23, 37–70) established the pointwise asymptotic distribution for the local linear estimator of a nonparametric regression function under the condition of near epoch dependence. In this paper, we further investigate the uniform consistency of this estimator. The uniform strong and weak consistencies with convergence rates for the local linear fitting are established under mild conditions. Furthermore, general results regarding uniform convergence rates for nonparametric kernel-based estimators are provided. The results of this paper will be of wide potential interest in time series semiparametric modeling.

Uniform consistency in causal inference

Biometrika ◽  
2003 ◽  
Vol 90 (3) ◽  
pp. 491-515 ◽  
Author(s):  
J. M. Robins
Keyword(s):  
Causal Inference ◽  
Uniform Consistency
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