摘要
概率论与数理统计的严格理论是以测度论为基础的,在测度论里,两个测度扩张定理非常重要。本文引出了一个新集类α-代数,并建立α-代数上的测度扩张定理,使两个定理统一为一个,使应用大为方便。
Probability theory and mathematical statistics of the theory is strictly on the basis of the measure theory and in measure theory, two measure expansion theorems are very important. This paper introduces a new class(family)of sets called α- algebra, and sets up the extension theorem on it, which makes the two theorems a unified one and greatly facilitates the application.
出处
《廊坊师范学院学报(自然科学版)》
2008年第5期16-17,共2页
Journal of Langfang Normal University(Natural Science Edition)
关键词
α-代数
测度
扩张定理
α-Algebra
Measure
Expansion theorem