transition_probability: State Transition Probability
In PACBO: Clustering Online Datasets

Description Usage Arguments Details Value Examples

This function computes the transition probability from current state x to the proposal state z belonging to the neighbor of x (i.e., z \in {x-1, x, x+1}).

1	transition_probability(x, z, K_max, prob = 1/3)

`x`	positive integer indicating the current state.
`z`	positive integer indicating the proposal state.
`K_max`	positive integer indicating the maximum value allowed for `x` and `z`.
`prob`	probability of jumping from state `x` to state `x` if `x` doesn't equal to K_max nor 1.

This function computes the transition probability from current state x to the proposal state z. If x doesn't equal to K_max nor 1 and z belongs to the neighbor of x (i.e., x-1,x,x+1), then the transition probability is prob, else 0. If x equals to 1 or K_max, then the transition probability from x to z belongs to 1,2 or K_max-1, K_max is 0.5, else 0.

A transition probability from state x to state z.