probability generating function;
GPED(2);
order statistics;
range;
D O I:
10.1007/s00362-006-0347-2
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 Probability generating function of a random variable which has Generalized Polya Eggenberger Distribution of the second kind (GPED(2)) is obtained. The probability density function of the range R, in random sampling from a uniform distribution on (k, l) and exponential distribution with parameter lambda is obtained, when the sample size is a random variable from GPED(2). The results of Bazargan-Lari (2004) follow as special cases.