Acta mathematica scientia,Series B

• Articles • Previous Articles     Next Articles

LARGE DEVIATION FOR THE EMPIRICAL CORRELATION COEFFICIENT OF TWO GAUSSIAN RANDOM VARIABLES

Shen Si   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
    Mathematics and Computer Science Institute, Central University for Nationalities, Beijing 100081, China
  • Received:1900-01-01 Revised:2006-01-15 Online:2007-10-20 Published:2007-10-20
  • Contact: Shen Si

Abstract:

In this article, the author obtains the large deviation principles for the
empirical correlation coefficient of two Gaussian random variables
X and Y. Especially, when considering two independent Gaussian
random variables X, Y with the means EX, EY (both known), wherein the author gives two kinds of different proofs and gets the same results.

Key words: Large deviation, empirical correlation coefficient

CLC Number: 

  • 60F10
Trendmd