Weighted correlation tests for scale families

被引:7
作者
Csörgo, S [1 ]
机构
[1] Univ Szeged, Bolyai Inst, H-6720 Szeged, Hungary
关键词
asymptotic distributions; goodness of fit; general scale families; Pareto and Weibull scale families; weighted correlation tests; weighted Wasserstein distances;
D O I
10.1007/BF02595737
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 show that weighted versions of recent correlation tests do not require light underlying tails. We formulate a general theorem concerning the asymptotic null distribution of weighted correlation test statistics for scale families, and demonstrate that the resulting tests may work not only for all Weibull scale families, but, with suitable choices of the weight functions, even for all Pareto scale families, in each of which the scale varies the left endpoint of the distribution.
引用
收藏
页码:219 / 248
页数:30
相关论文
共 15 条
  • [1] ASYMPTOTIC DISTRIBUTION OF LINEAR COMBINATIONS OF FUNCTIONS OF ORDER STATISTICS WITH APPLICATIONS TO ESTIMATION
    CHERNOFF, H
    GASTWIRTH, JL
    JOHNS, MV
    [J]. ANNALS OF MATHEMATICAL STATISTICS, 1967, 38 (01): : 52 - +
  • [2] WEIGHTED EMPIRICAL AND QUANTILE PROCESSES
    CSORGO, M
    CSORGO, S
    HORVATH, L
    MASON, DM
    [J]. ANNALS OF PROBABILITY, 1986, 14 (01) : 31 - 85
  • [3] CsoRGo M., 1993, Weighted approximations in probability and statistics
  • [4] Csörgo S, 2000, TEST, V9, P54
  • [5] Estimating the tail index
    Csörgö, S
    Viharos, L
    [J]. ASYMPTOTIC METHODS IN PROBABILITY AND STATISTICS: A VOLUME IN HONOUR OF MIKLOS CSORGO, 1998, : 833 - 881
  • [6] CSORGO S, 2003, TATRA MOUNTAINS MATH, V26
  • [7] de Wet T, 2000, TEST, V9, P74
  • [8] Goodness-of-fit tests for location and scale families based on a weighted L2-Wasserstein distance measure
    de Wet, T
    [J]. TEST, 2002, 11 (01) : 89 - 107
  • [9] Del Barrio E, 1999, ANN STAT, V27, P1230
  • [10] del Barrio E, 2000, TEST-SPAIN, V9, P1