Bayesian Tree Prior Simulation
Simulation of the tree prior.
Simulation of the tree prior in the general case (Case #4).
Simulation of the tree prior in the case where we have one single vari...
Simulation of the tree prior in the unrealistic case where we assume t...
Expected value of the number of bottom nodes in the unrealistic case w...
Unique splits that leads to children with more than nodes.
Number of bottom nodes and depth in the case where we have one single ...
Number of bottom nodes and depth in the unrealistic case where we assu...
Number of bottom nodes and depth in the general case (Case #4).
Probability of split of the tree prior.
Variance of the number of bottom nodes in the unrealistic case where w...
Provides a way to simulate from the prior distribution of Bayesian trees by Chipman et al. (1998) <DOI:10.2307/2669832>. The prior distribution of Bayesian trees is highly dependent on the design matrix X, therefore using the suggested hyperparameters by Chipman et al. (1998) <DOI:10.2307/2669832> is not recommended and could lead to unexpected prior distribution. This work is part of my master thesis (expected 2016).