I am solving for the limiting distribution of a Markov Chain, and I have the following system of equations:
$$\Pi_{i}= \alpha_i\Pi_0 + \Pi_{i+1}$$
$$\sum_{i=0}^\infty \Pi_i =1$$
Any advice for how to simplify this?
I am solving for the limiting distribution of a Markov Chain, and I have the following system of equations:
$$\Pi_{i}= \alpha_i\Pi_0 + \Pi_{i+1}$$
$$\sum_{i=0}^\infty \Pi_i =1$$
Any advice for how to simplify this?
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