Second-order stochastic dominance for decomposable multiparametric families with applications to order statistics

被引:8
作者
Lando, Tommaso [1 ,2 ]
Bertoli-Barsotti, Lucio [1 ]
机构
[1] Univ Bergamo, Bergamo, Italy
[2] VSB TU Ostrava, Ostrava, Czech Republic
关键词
Stochastic dominance; Order statistics; Generalized distributions; Beta family; GENERALIZED-FUNCTIONS; GENERATING FAMILIES; DISTRIBUTIONS;
D O I
10.1016/j.spl.2019.108691
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 provide a simple method for deriving second-order stochastic dominance between multiparametric families which can be decomposed into a functional composition of two cumulative distributions and a quantile function. The method is applied to stochastic comparisons of order statistics. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页数:5
相关论文
共 22 条
  • [1] A new method for generating families of continuous distributions
    Alzaatreh A.
    Lee C.
    Famoye F.
    [J]. METRON, 2013, 71 (1) : 63 - 79
  • [2] [Anonymous], 2012, ISRN PROBABILITY STA
  • [3] [Anonymous], 2014, J. Stat. Distrib. Appl.
  • [4] [Anonymous], 1999, Sankhya, B
  • [5] Comparison of concentration for several families of income distributions
    Belzunce, Felix
    Pinar, Jose F.
    Ruiz, Jose M.
    Sordo, Miguel A.
    [J]. STATISTICS & PROBABILITY LETTERS, 2013, 83 (04) : 1036 - 1045
  • [6] EFFICIENCY ANALYSIS OF CHOICES INVOLVING RISK
    HANOCH, G
    LEVY, H
    [J]. REVIEW OF ECONOMIC STUDIES, 1969, 36 (03) : 335 - 346
  • [7] Jones MC, 2015, INT STAT REV, V83, P175, DOI 10.1111/insr.12055
  • [8] Families of distributions arising from distributions of order statistics
    Jones, MC
    [J]. TEST, 2004, 13 (01) : 1 - +
  • [9] KAMARAD J, 1991, HIGH PRESSURE RESEARCH, VOL 7 AND 8, NOS 1-3, P38
  • [10] Kleiber C., 2003, Wiley Series in Probability and Statistics, V470