A characterization of continuous distributions via regression on pairs of record values

被引:9
作者
Bairamov, I
Ahsanullah, M
Pakes, AG
机构
[1] Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey
[2] Univ S Florida, Dept Math, Tampa, FL 33629 USA
关键词
characterization; record values; regression;
D O I
10.1111/j.1467-842X.2005.00415.x
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
The exponential type is characterized in terms of the regression of a ( possibly non-linear) function of a record value with its adjacent record values as covariates. Monotone transformations extend this result to more general settings, and these are illustrated with some specific examples.
引用
收藏
页码:543 / 547
页数:5
相关论文
共 8 条
  • [1] Arnold B.C., 1998, RECORDS
  • [2] Linearity of regression for non-adjacent record values
    Dembinska, A
    Wesolowski, J
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2000, 90 (02) : 195 - 205
  • [3] Franco M., 1996, SANKHYA INDIAN J S A, V580, P0135
  • [4] Nagaraja H.N., 1977, Austral. J. Statist., V19, P70
  • [5] Nevzorov V.B., 2001, Records: Mathematical Theory
  • [6] PAKES AG, 2004, J APPL STAT SCI, V13, P11
  • [7] On characterizing distributions via linearity of regression for order statistics
    Wesolowski, J
    Ahsanullah, M
    [J]. AUSTRALIAN JOURNAL OF STATISTICS, 1997, 39 (01): : 69 - 78
  • [8] Wesoowski J, 1998, SANKHYA B, V60, P221