Asymptotic normality of convergent estimates of conditional quantiles

被引：33

作者：

Berlinet, A ^{[1
]}

Gannoun, A ^{[1
]}

Matzner-Lober, E ^{[1
]}

机构：

[1] Univ Montpellier 2, Dept Math Sci, F-34095 Montpellier 5, France

来源：

STATISTICS | 2001年 / 35卷 / 02期

关键词：

asymptotic normality; conditional quantiles; alpha-mixing stationary processes; time series; forecasting;

D O I：

10.1080/02331880108802728

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：

We state sufficient conditions for asymptotic normality of convergent estimates of conditional quantiles, irrespective of data dependence and consider the particular case of cu-mixing stationary processes under optimal condition of convergence. We apply this result to confidence intervals building for time series predictors based on nonparametric estimates of the conditional median.

引用

页码：139 / 169

页数：31

共 27 条

[1]

8Doukhan P., 2012, Mixing: Properties and Examples, V85

[2]

[Anonymous], DEPENDENCE PROBABILI

[3] Asymptotic normality of convergent estimators of the conditional mode [J].

Berlinet, A ;

Gannoun, A ;

Matzner-Lober, E .

CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 1998, 26 (02) :365-380

[4]

Billingsley P, 1968, CONVERGE PROBAB MEAS

[5] ASYMPTOTIC-DISTRIBUTION OF SMOOTHERS BASED ON LOCAL MEANS AND LOCAL MEDIANS UNDER DEPENDENCE [J].

BOENTE, G ;

FRAIMAN, R .

JOURNAL OF MULTIVARIATE ANALYSIS, 1995, 54 (01) :77-90

[6]

BOSQ D, 1996, LECT NOTES STAT, V110

[7]

CARBON M, 1988, THESIS U PARIS 6

[8] INVARIANCE PRINCIPLE FOR STATIONARY PROCESSES [J].

DAVYDOV, YA .

THEORY OF PROBILITY AND ITS APPLICATIONS,USSR, 1970, 15 (03) :487-&

[9]

Doob JL., 1953, Stochastic Process

[10]

DOUKHAN P, 1998, ACTA CIENT VENOZOLAN, V49, P78

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