ON SOME GOODNESS-OF-FIT TESTS BASED ON ESTIMATES OF KERNEL-TYPE DISTRIBUTION DENSITIES

被引：0
|
作者：
Nadaraya, E. [1 ]
Sokhadze, G. [2 ]
Babilua, P. [1 ]
机构：
[1] Iv Javakhishvili Tbilisi State Univ, Fac Exact & Nat Sci, GE-0143 Tbilisi, Georgia
[2] A Tsereteli Kutaisi State Univ, Fac Exact & Nat Sci, GE-4600 Kutaisi, Georgia
来源：
THEORY OF PROBABILITY AND ITS APPLICATIONS | 2010年 / 54卷 / 02期
关键词：
distribution density; goodness-of-fit test; power; consistency; limit distribution;
D O I：
10.1137/S0040585X97984206
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：
A goodness-of-fit test is constructed by using a Wolverton-Wagner distribution density estimate. The question as to its consistency is studied. The power asymptotics of the constructed goodness-of-fit test is also studied for certain types of close alternatives.
引用
收藏
页码：324 / U17
页数：10
相关论文
共 50 条
  • [1] On Goodness-of-Fit Tests for the Neyman Type A Distribution
    Batsidis, Apostolos
    Lemonte, Artur J.
    [J]. REVSTAT-STATISTICAL JOURNAL, 2023, 21 (02) : 143 - 171
  • [2] Goodness-of-fit tests based on the kernel density estimator
    Cao, R
    Lugosi, G
    [J]. SCANDINAVIAN JOURNAL OF STATISTICS, 2005, 32 (04) : 599 - 616
  • [3] New Goodness-of-Fit Tests for Pareto I Type Distribution, Based on Some Characterization
    Ragozin I.A.
    [J]. Journal of Mathematical Sciences, 2022, 268 (5) : 684 - 692
  • [4] Some New Goodness-of-fit Tests for Rayleigh Distribution
    Jahanshahi, S. M. A.
    Habibirad, A.
    Fakoor, V
    [J]. PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2020, 16 (02) : 305 - 315
  • [5] Multivariate goodness-of-fit tests based on kernel density estimators
    Bakshaev, Aleksej
    Rudzkis, Rimantas
    [J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2015, 20 (04): : 585 - 602
  • [6] On the Optimality of Kernel-Embedding Based Goodness-of-Fit Tests
    Balasubramanian, Krishnakumar
    Li, Tong
    Yuan, Ming
    [J]. JOURNAL OF MACHINE LEARNING RESEARCH, 2021, 22
  • [7] On the optimality of kernel-embedding based goodness-of-fit tests
    Balasubramanian, Krishnakumar
    Li, Tong
    Yuan, Ming
    [J]. Journal of Machine Learning Research, 2021, 22 : 1 - 45
  • [8] Goodness-of-fit tests for the Gompertz distribution
    Lenart, Adam
    Missov, Trifon I.
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (10) : 2920 - 2937
  • [9] Goodness-of-fit tests for Pareto distribution
    Gulati, Sneh
    Shapiro, Samuel
    [J]. STATISTICAL MODELS AND METHODS FOR BIOMEDICAL AND TECHNICAL SYSTEMS, 2008, : 259 - 274
  • [10] On goodness-of-fit tests for the Bell distribution
    Apostolos Batsidis
    María Dolores Jiménez-Gamero
    Artur J. Lemonte
    [J]. Metrika, 2020, 83 : 297 - 319
12345