ORDER STATISTICS;
RECORD VALUES;
INEQUALITIES FOR MOMENTS;
RECURRENCE RELATIONS FOR MOMENTS;
CHARACTERIZATIONS;
POWER FUNCTION;
PARETO;
WEIBULL AND BURR DISTRIBUTIONS;
D O I:
10.1016/0378-3758(91)90052-G
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:
Inequalities for moments of order statistics and record values from non-negative random variables are stated. By characterizing equality, characterizations of Pareto, power function, Weibull and Burr distributions, and herewith specific recurrence relations are obtained.