A lower bound for probability of permutations between three independent normal sample means

碩士 === 國立中央大學 === 數學研究所 === 100 === Let X, Y and Z denote sample means observed from three independent normal distributions. The purpose of this paper is to obtain lower bounds for P(X>Y>Z), P(X>Z>Y) and P(X=max(X,Y,Z)).

Bibliographic Details
Main Authors: Ssu-chan Wu, 吳思嬋
Other Authors: none
Format: Others
Language:zh-TW
Published: 2012
Online Access:http://ndltd.ncl.edu.tw/handle/99202436169727846165
Description
Summary:碩士 === 國立中央大學 === 數學研究所 === 100 === Let X, Y and Z denote sample means observed from three independent normal distributions. The purpose of this paper is to obtain lower bounds for P(X>Y>Z), P(X>Z>Y) and P(X=max(X,Y,Z)).