Finite State Space
If the state space is finite, the transition probability distribution can be represented by a matrix, called the transition matrix, with the (i, j)th element of P equal to
Since each row of P sums to one and all elements are non-negative, P is a right stochastic matrix.
Read more about this topic: Markov Chain
Famous quotes containing the words finite and/or state:
“For it is only the finite that has wrought and suffered; the infinite lies stretched in smiling repose.”
—Ralph Waldo Emerson (18031882)
“If a hermit lives in a state of ecstasy, his lack of comfort becomes the height of comfort. He must relinquish it.”
—Jean Cocteau (18891963)
Related Phrases
Related Words