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  1. Contents Introduction (Intended Audience and Outline) .......... .................... 3. Basics of Markov Models ............................. :...... ....... 4 How Markov Models Represent System Behavior . …

  2. Markov process is a random process for which the future (the next step) depends only on the present state; it has no memory of how the present state was reached. A typical example is a random walk …

  3. In Section 2, we introduce a simple Markov switching model of conditional mean and its generalizations. We then study two esti-mation methods (quasi-maximum likelihood method and Gibbs sampling) in …

  4. X is a Markov chain if, for all s0; s1; : : : I a useful type of simulation . . . what is the probability we reorder at time t? suppose f : XT+1 ! R is separable, i.e., where ft : X !

  5. Consider a sequence of random variables X0; X1; X2; : : : each taking values in the same state space, which for now we take to be a nite set that we label by f0; 1; : : : ; Mg. Interpret Xn as state of the …

  6. In a Markov chain, an absorbing state is one in which you get stuck forever (like A wins/B wins above). By an absorbing Markov chain, we mean a Markov chain which has absorbing states and it is …

  7. Andrey A. Markov (1950s): Russian mathematician. MA is equivalent to the Turing Machine TM. Accept or Reject. MA can compute the set of computable function. May return a value. MA is based on …