胎紧概率测度序列的一种构造

One Construction of Tight Sequence of Probability Measures

常见的胎紧测度序列例子概念过于抽象,形式比较复杂,理解相当困难,并且一般的书籍资料很少列举.采用一种形式新且易懂的方式构造胎紧测度序列,即在一维Borel概率测度空间这一熟悉背景下,通过建立平面几何图形及运用系列几何作图的技术性处理,将胎紧测度序列以具体化、直观化的图形形式展现出来,同时更清楚地体现了测度的实质含义及胎紧与非胎紧之间的本质区别.

The common concept example of tight sequence of measures is too abstract, and the form is a little cit complicate. To understand them is relatively difficult and to list by usual books is quite few. This article uses a new form and an understandable way to construct a tight sequence of measures, that is, under the familiar background of space of one - dimensional Borel probability measure, through technologic arrangement of constructing plane geometrical figure and applying serials geometrical drawing to show the specific and intuitional picture, and to embody the essential coneept of measure and the essential difference between non-tight and tight.