BERRY-ESSEEN BOUNDS OF ERROR VARIANCE ESTIMATION IN PARTLY LINEAR MODELS

被引:0
|
作者
高集体
洪圣岩
梁华
机构
关键词
Partly linear model; Least-squares estimate; Berry-Esseen bounds;
D O I
暂无
中图分类号
O212.7 [非参数统计];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Consider the regression model Y i=x τ iβ+g(t i)+ε i for i=1,…, n. Here (x i, t i) are known and nonrandom design points and ε i are i.i.d. random errors.The family of nonparametric estimates n(·) of g(·) including some known estimates is proposed. Based on the model Y i=x τ i+ n(t i)+ε i, the Berry-Esseen bounds of the distribution of the least-squares estimator of β are investigated.
引用
收藏
页码:477 / 490
页数:14
相关论文
共 50 条
  • [1] Berry-Esseen bounds of error variance estimation in partly linear models
    Gao, JT
    Hong, SY
    Liang, H
    [J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 1996, 17 (04) : 477 - 490
  • [2] BERRY-ESSEEN BOUNDS FOR ERROR VARIANCE ESTIMATES IN LINEAR MODELS
    陈希孺
    [J]. Science China Mathematics, 1981, (07) : 899 - 913
  • [3] BERRY-ESSEEN BOUNDS FOR ERROR VARIANCE ESTIMATES IN LINEAR MODELS
    陈希孺
    [J]. ScienceinChina,Ser.A., 1981, Ser.A.1981 (07) - 913
  • [4] BERRY-ESSEEN BOUNDS FOR ERROR VARIANCE ESTIMATES IN LINEAR-MODELS
    CHEN, XR
    [J]. SCIENTIA SINICA, 1981, 24 (07): : 899 - 913
  • [5] THE BERRY-ESSEEN BOUNDS OF ERROR VARIANCE-ESTIMATION IN SEMIPARAMETRIC REGRESSION-MODELS
    HUA, LA
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1994, 23 (12) : 3439 - 3451
  • [6] On Berry-Esseen bounds of summability transforms
    Fridy, JA
    Goonatilake, RA
    Khan, MK
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (01) : 273 - 282
  • [7] Berry-Esseen Bounds and Diophantine Approximation
    Berkes, I.
    Borda, B.
    [J]. ANALYSIS MATHEMATICA, 2018, 44 (02) : 149 - 161
  • [8] Berry-Esseen bounds for parameter estimation of general Gaussian processes
    Douissi, Soukaina
    Es-Sebaiy, Khalifa
    Viens, Frederi G.
    [J]. ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 2019, 16 (01): : 633 - 664
  • [9] A NOTE ON THE BERRY-ESSEEN BOUNDS FOR ρ-MIXING
    Lu, C.
    Yu, W.
    Ji, R. L.
    Zhou, H. L.
    Wang, X. J.
    [J]. THEORY OF PROBABILITY AND ITS APPLICATIONS, 2022, 67 (03) : 415 - 433
  • [10] Berry-Esseen bounds for estimating undirected graphs
    Wasserman, Larry
    Kolar, Mladen
    Rinaldo, Alessandro
    [J]. ELECTRONIC JOURNAL OF STATISTICS, 2014, 8 : 1188 - 1224