TITLE:
The Confidence Distribution Method to the Behrens-Fisher Problem
AUTHORS:
Wenyong Tao, Wanzhou Ye
KEYWORDS:
Behrens-Fisher Problem, Confidence Distribution, Interval Estimation Component
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.2,
February
25,
2016
ABSTRACT: We use the methods of “The Welch-Satterthwaite test”, “The Cochran-Cox test”, “The Generalized p-value test”, “Computational Approach test” to structure different Confidence Distributions, and use the Confidence Distributions to give an new solution the confidence interval of the difference between two population means where the populations are assumed to be normal with unknown and unequal variances. Finally, we find the most effective solution through the numerical simulation.