Consistency of the Priestley-Chao estimator in nonparametric regression model with widely orthant dependent errors

被引：6

作者：

He, Qihui ^{[1
]}

机构：

[1] Anhui Inst Econ Management, Dept Foundat Teaching, Hefei, Anhui, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 1期

关键词：

Strong consistency; Complete consistency; Rate; Nonparametric regression model; Widely orthant dependent; COMPLETE MOMENT CONVERGENCE; RANDOM-VARIABLES;

D O I：

10.1186/s13660-019-2016-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish the strong consistency and complete consistency of the Priestley-Chao estimator in nonparametric regression model with widely orthant dependent errors under some general conditions. We also obtain the rates of strong consistency and complete consistency. We show that the rates can approximate to under appropriate conditions. The results obtained in the paper improve or extend the corresponding ones to widely orthant dependent assumptions.

引用

页数：13

共 20 条

[1]

BENEDETTI JK, 1977, J ROY STAT SOC B MET, V39, P248

[2] An inequality of widely dependent random variables and its applications* [J].

Chen, Wei ;

Wang, Yuebao ;

Cheng, Dongya .

LITHUANIAN MATHEMATICAL JOURNAL, 2016, 56 (01) :16-31

[3]

Hu T.Z., 2000, CHIN J APPL PROBAB S, V16, P133

[4] NEGATIVE ASSOCIATION OF RANDOM-VARIABLES, WITH APPLICATIONS [J].

JOAGDEV, K ;

PROSCHAN, F .

ANNALS OF STATISTICS, 1983, 11 (01) :286-295

[5] SOME CONCEPTS OF DEPENDENCE [J].

LEHMANN, EL .

ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (05) :1137-&

[6] Precise large deviations for dependent random variables with heavy tails [J].

Liu, Li .

STATISTICS & PROBABILITY LETTERS, 2009, 79 (09) :1290-1298

[7] A note on a dependent risk model with constant interest rate [J].

Liu, Xijun ;

Gao, Qingwu ;

Wang, Yuebao .

STATISTICS & PROBABILITY LETTERS, 2012, 82 (04) :707-712

[8]

PRIESTLEY MB, 1972, J R STAT SOC B, V34, P385

[9] Complete and Complete Moment Convergence for Weighted Sums of Widely Orthant Dependent Random Variables [J].

Qiu, De Hua ;

Chen, Ping Yan .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2014, 30 (09) :1539-1548

[10] Bernstein-Type Inequality for Widely Dependent Sequence and Its Application to Nonparametric Regression Models [J].

Shen, Aiting .

ABSTRACT AND APPLIED ANALYSIS, 2013,

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