Dispersive ordering of distributions

Dispersive ordering of distributions
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DOI:
10.2307/1427297
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发表时间:
1984-09
影响因子:
1.2
通讯作者:
D. Saunders
D. Saunders
中科院分区:
数学4区
文献类型:
--
作者:
D. Saunders

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Shaked(1982)给出了具有区间支撑的绝对连续分布的色散序的特征。然而,有一个技术性的错误,他证明的第二部分定理2.1,虽然结果仍然是正确的。困难的出现是因为在符号变化运算符S的定义中丢弃了零项。因此,和x′的相等并不意味着
Shaked (1982) gives a characterisation of dispersive ordering for distributions which are absolutely continuous with interval supports. However there is a technical error in his proof of the second part of Theorem 2.1, although the result is still true. The difficulty arises because zero terms are discarded in the definition of the sign change operator S. Therefore the equality of and x′ does not imply that