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Markov Chains Compact Lecture Notes and Exercises

Markov ChainsCompact Lecture Notes and ExercisesSeptember 2009 ACC CoolenDepartment of MathematicsKing s College London~ @@@R@@@R@@@R @@@R @@@R part of course 6 CCM320 Apart of course 6 CCM380A21 Introduction32 Definitions and properties of stochastic Stochastic processes .. Markov Chains .. Examples .. 113 Properties of homogeneous finite state space Markov Simplification of notation & formal solution .. Simple properties of the transition matrix and the state probabilities .. Classification definitions based on accessibility of states.

Markov chains are discrete state space processes that have the Markov property. Usually they are deflned to have also discrete time (but deflnitions vary slightly in textbooks).

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