ON NONPARAMETRIC CLASSIFICATION FOR WEAKLY DEPENDENT FUNCTIONAL PROCESSES

被引:5
|
作者
Younso, Ahmad [1 ]
机构
[1] Damascus Univ, Dept Math Stat, Fac Sci, Damascus, Syria
关键词
Bayes rule; training data; moving window rule; mixing condition; consistency; CENTRAL-LIMIT-THEOREM; REGRESSION; CONVERGENCE;
D O I
10.1051/ps/2017002
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
The purpose of this paper is to investigate the moving window rule of classification to classify functions under mixing conditions. We consider a random variable X taking values in a metric space (F, rho) with label Y is an element of{0, 1}. We extend some results on consistency and strong consistency of the moving window rule from the i.i.d. case to the weakly dependent case under mild assumptions. The practical use of the moving window rule will be illustrated through a simulation study. The performance of the moving window rule is investigated.
引用
收藏
页码:452 / 466
页数:15
相关论文
共 50 条
  • [1] BOOTSTRAP WAVELET IN THE NONPARAMETRIC REGRESSION MODEL WITH WEAKLY DEPENDENT PROCESSES
    林路
    张润楚
    [J]. Acta Mathematica Scientia, 2004, (01) : 61 - 70
  • [2] Bootstrap wavelet in the nonparametric regression model with weakly dependent processes
    Lin, L
    Zhang, RC
    [J]. ACTA MATHEMATICA SCIENTIA, 2004, 24 (01) : 61 - 70
  • [3] Blockwise bootstrap wavelet in nonparametric regression model with weakly dependent processes
    Lu Lin
    Yunzheng Fan
    Lin Tan
    [J]. Metrika, 2008, 67 : 31 - 48
  • [4] Blockwise bootstrap wavelet in nonparametric regression model with weakly dependent processes
    Lin, Lu
    Fan, Yunzheng
    Tan, Lin
    [J]. METRIKA, 2008, 67 (01) : 31 - 48
  • [5] A functional limit theorem for η-weakly dependent processes and its applications
    Bardet J.-M.
    Doukhan P.
    León J.R.
    [J]. Statistical Inference for Stochastic Processes, 2008, 11 (3) : 265 - 280
  • [6] Asymptotic properties of wavelet-based estimator in nonparametric regression model with weakly dependent processes
    Zhou, Xing-cai
    Lin, Jin-guan
    Yin, Chang-Ming
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [7] Asymptotic properties of wavelet-based estimator in nonparametric regression model with weakly dependent processes
    Xing-cai Zhou
    Jin-guan Lin
    Chang-Ming Yin
    [J]. Journal of Inequalities and Applications, 2013
  • [8] WEAKLY DEPENDENT FUNCTIONAL DATA
    Hormann, Siegfried
    Kokoszka, Piotr
    [J]. ANNALS OF STATISTICS, 2010, 38 (03): : 1845 - 1884
  • [9] Deep learning for ψ-weakly dependent processes
    Kengne, William
    Wade, Modou
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2024, 232
  • [10] Efficient bootstrap with weakly dependent processes
    Bravo, Francesco
    Crudu, Federico
    [J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2012, 56 (11) : 3444 - 3458