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Markov Processes for Stochastic Modeling, 2nd Edition by Oliver Ibe

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4

Discrete-Time Markov Chains

4.1 Introduction

The discrete-time process image is called a Markov chain if for all image, the following is true:

image (4.1)

The quantity image is called the state-transition probability, which is the conditional probability that the process will be in state j at time k immediately after the next transition, given that it is in state i at time ...

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