Kin-Yee Chan, Wei-Yin Loh, LOTUS: An Algorithm for Building Accurate and Comprehensible Logistic Regression Trees, Journal of Computational and Graphical Statistics, Vol. 13, No. 4 (Dec., 2004), pp.

First off, you need to be clear what exactly you mean by advantages. People have argued the relative benefits of trees vs. logistic regression in the context of interpretability, robustness, etc.

Tadikamalla and Johnson [Biometrika 69 (1982) 461–465] developed the LB distribution to variables with bounded support by considering a transformation of the standard Logistic distribution. In this ...