RT Journal Article T1 A Bayesian Solution to the Behrens-Fisher problem A1 Girón González-Torre, F. Javier A1 Castillo-Vázquez, Carmen K1 Modelos matemáticos AB A simple solution to the Behrens–Fisher problem based on Bayes factors is presented, and its relation with the Behrens–Fisher distribution is explored. The construction of the Bayes factor is based on a simple hierarchical model, and has a closed form based on the densities of general Behrens–Fisher distributions. Simple asymptotic approximations of the Bayes factor, which are functions of the Kullback–Leibler divergence between normal distributions, are given, and it is also proved to be consistent. Some examples and comparisons are also presented. PB Springer YR 2021 FD 2021-07 LK https://hdl.handle.net/10630/23852 UL https://hdl.handle.net/10630/23852 LA eng NO Girón, F. J., & del Castillo, C. (2021). A Bayesian solution to the Behrens–Fisher problem. Revista de La Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, 115(4). https://doi.org/10.1007/s13398-021-01098-0 NO Open access funding provided by Universidad de Málaga/CBUA. DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 20 ene 2026