NumBotMaxDepth: Number of bottom nodes and depth in the case where we have one single variable (Case #3).
Description
Generate a tree and returns the number of bottom nodes and depth in the case where we have one variable with a finite number of observations (Case #3).
Usage
NumBotMaxDepth(alpha, beta, x_size, depth = 0)
Arguments
alpha
base parameter of the tree prior, $\alpha \in [0,1)$.
beta
power parameter of the tree prior, $beta \geq 0$.
x_size
number of possible splits, $x_{size}>0$.
depth
depth of the current node, $depth \geq 0$.
Value
Returns a vector containing the number of bottom nodes and depth