pysal.explore.giddy.ergodic.
fmpt
(P)[source]¶Calculates the matrix of first mean passage times for an ergodic transition probability matrix.
Parameters: 


Returns: 

Notes
Uses formulation (and examples on p. 218) in [KS67].
Examples
>>> import numpy as np
>>> from pysal.explore.giddy.ergodic import fmpt
>>> p=np.array([[.5, .25, .25],[.5,0,.5],[.25,.25,.5]])
>>> fm=fmpt(p)
>>> fm
array([[2.5 , 4. , 3.33333333],
[2.66666667, 5. , 2.66666667],
[3.33333333, 4. , 2.5 ]])
Thus, if it is raining today in Oz we can expect a nice day to come along in another 4 days, on average, and snow to hit in 3.33 days. We can expect another rainy day in 2.5 days. If it is nice today in Oz, we would experience a change in the weather (either rain or snow) in 2.67 days from today. (That wicked witch can only die once so I reckon that is the ultimate absorbing state).