Journal of Jishou University(Natural Sciences Edition)

• Mathematics •     Next Articles

Uniform Convergence of Distribution Function Column

XING Jiasheng,YANG Yichuan   

  1. (1.School of Mathematics,Beihang University,Beijing 100191,China;2.LMIB of the Ministry of Education,Beihang University,Beijing 100191,China)
  • Online:2018-03-25 Published:2018-04-28


Considering the uniform convergence of function columns,we prove another form of Dini Theorem,and apply this result to the study of the uniform convergence of the distribution function column of the random variable sequence.Then we point out the central limit theorem and offer two kinds of direct proof methods  for the limit distribution of the random variable sequence of t-distribution.

Key words: uniform convergence, Dini Theorem, t-distribution, limit distribution

WeChat e-book chaoxing Mobile QQ