On the homogeneity test based on the kernel-type estimators of a distribution density

被引：0

作者：

Babilua, Petre ^{[1
]}

Nadaraya, Elizbar ^{[1
]}

机构：

[1] Iv Javakhishvili Tbilisi State Univ, Fac Exact & Nat Sci, Dept Math, 3 Univ Str, Tbilisi 0143, Georgia

来源：

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | 2018年 / 172卷 / 03期

关键词：

Test for homogeneity; Goodness-of-fit test; Power of test; Test consistency; Kernel-type estimator of density;

D O I：

10.1016/j.trmi.2018.07.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The test of homogeneity is constructed by using kernel-type estimators of a distribution density. The limit power of the constructed test is found for close Pitman-type alternatives. The constructed test is compared with Pearson's Xu-square test. (C) 2018 Ivane Javakhishvili Tbilisi State University. Published by Elsevier B.V.

引用

页码：318 / 331

页数：14

共 50 条

[1] On One Homogeneity Test Based on the Kernel-Type Estimators of the Distribution Density
P. K. Babilua
E. A. Nadaraya
[J]. Ukrainian Mathematical Journal, 2019, 71 : 505 - 518
[2] ON ONE HOMOGENEITY TEST BASED ON THE KERNEL-TYPE ESTIMATORS OF THE DISTRIBUTION DENSITY
Babilua, P. K.
Nadaraya, E. A.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2019, 71 (04) : 505 - 518
[3] ESTIMATION OF A REGRESSION FUNCTION BY PARZEN KERNEL-TYPE DENSITY ESTIMATORS
NODA, K
[J]. ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1976, 28 (02) : 221 - 234
[4] On deviations between kernel-type estimators of a distribution density in p ≥ 2 independent samples
Babilua, P. K.
Nadaraya, E. A.
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2018, 47 (02) : 475 - 492
[5] A survey of kernel-type estimators for copula and their applications
Sumarjaya, I. W.
[J]. ASIAN MATHEMATICAL CONFERENCE 2016 (AMC 2016), 2017, 893
[6] Asymptotic normality of kernel-type deconvolution estimators
van Es, B
Uh, HW
[J]. SCANDINAVIAN JOURNAL OF STATISTICS, 2005, 32 (03) : 467 - 483
[7] Large and moderate deviations for kernel-type estimators of the mean density of Boolean models
Camerlenghi, Federico
Villa, Elena
[J]. ELECTRONIC JOURNAL OF STATISTICS, 2018, 12 (01): : 427 - 460
[8] Kernel-type estimators for the extreme value index
Groeneboom, P
Lopuhaä, HP
De Wolf, PP
[J]. ANNALS OF STATISTICS, 2003, 31 (06): : 1956 - 1995
[9] VERSIONS OF KERNEL-TYPE REGRESSION-ESTIMATORS
JONES, MC
DAVIES, SJ
PARK, BU
[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1994, 89 (427) : 825 - 832
[10] Optimal rates of convergence in the Weibull model based on kernel-type estimators
Mercadier, Cecile
Soulier, Philippe
[J]. STATISTICS & PROBABILITY LETTERS, 2012, 82 (03) : 548 - 556

← 1 2 3 4 5 →