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
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