On Analysis of the Behrens-Fisher Problem Based on Bayesian Evidence

@article{Zaria2019OnAO,
title={On Analysis of the Behrens-Fisher Problem Based on Bayesian Evidence},
author={Zaria and Nigeria.},
journal={Open Journal of Statistics},
year={2019},
volume={09},
pages={1-14}
}

In this paper we have demonstrated the ability of the new Bayesian measure of evidence of Yin (2012, Computational Statistics, 27: 237-249) to solve both the Behrens-Fisher problem and Lindley's paradox. We have provided a general proof that for any prior which yields a linear combination of two independent t random variables as posterior distribution of the dierence of means, the new Bayesian measure of evidence given that prior will solve Lindleys' paradox thereby serving as a general proof… Expand