经济数学
經濟數學
경제수학
MATHEMATICS IN ECONOMICS
2006年
3期
302-306
,共5页
偏序%概要%Galois 连络%dcpo
偏序%概要%Galois 連絡%dcpo
편서%개요%Galois 련락%dcpo
Partial order%probabilities%Galois collection%dcpo
本文利用切割集S在一个σ-域的所有概率函数组成的族(ξ)上建立一种偏序≤s,并且证明偏序集((ξ),≤s)是一个方向完备集.此处本文研究了在(ξ)上与概率一致的PPoset序型,证明了在PPoset上的序越复杂,则统计检验的可靠性越差.
本文利用切割集S在一箇σ-域的所有概率函數組成的族(ξ)上建立一種偏序≤s,併且證明偏序集((ξ),≤s)是一箇方嚮完備集.此處本文研究瞭在(ξ)上與概率一緻的PPoset序型,證明瞭在PPoset上的序越複雜,則統計檢驗的可靠性越差.
본문이용절할집S재일개σ-역적소유개솔함수조성적족(ξ)상건립일충편서≤s,병차증명편서집((ξ),≤s)시일개방향완비집.차처본문연구료재(ξ)상여개솔일치적PPoset서형,증명료재PPoset상적서월복잡,칙통계검험적가고성월차.
This paper introduces a kind of order on probabilities based on the cutter-set and proves that the set((ξ)，≤s)of probabilities on σ-field with a cutter-set is a directed complete poset.Authors consider an order-style P Poset on the set ρ of probabilities,which is consistent with probabilities.The paper asserts that the more complex is the order on a PPoset,the worse it is tested by statistics in practice.
