where M is a finite discrete Markov transition matrix that contains a complete description of the distributional dynamics as it maps [Q.
As in a Markov transition matrix, a concentration of contour lines along the main diagonal indicates a lack of mobility across states.
Therefore, we relate the location in a given state of the Markov transition matrix to potential explanatory variables by employing a multinomial logit regression model.
The problem of identifying the conformational states from the detailed Markov transition matrix has received recent interest [3, 4, 7, 9].
Another exception is a recent method for Markov chains based on singular value decomposition of the Markov transition matrix .
Alternatively, one might consider a triangular Markov transition matrix
with very small off-diagonal elements, representing the notion that the true structure of the economy might experience very rare shifts but would never revert to its original structure.
One interesting strand in the literature calculates a Markov transition matrix
of movement between size categories and then calculates stationary size distributions.