Question: Explain why, for any (stationary) random process, Use the ergodic hypothesis to argue that Thereby conclude that, for a Markov process, all the probability distributions

Explain why, for any (stationary) random process,


lim P(y2, tly) = 8(y - Y). 1-0 (6.12a)


Use the ergodic hypothesis to argue that


image


Thereby conclude that, for a Markov process, all the probability distributions are determined by the conditional probability P2(y2, t|y1). Give an algorithm for computing them.

lim P(y2, tly) = 8(y - Y). 1-0 (6.12a)

Step by Step Solution

3.45 Rating (171 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

For a stationary random process the probability distribution should not change with time Therefore we can write the joint probability distribution for ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Modern Classical Physics Questions!