## Elements of the theory of Markov processes and their applicationsGraduate-level text and reference in probability, with numerous scientific applications. Nonmeasure-theoretic introduction to theory of Markov processes and to mathematical models based on the theory. Appendixes. Bibliographies. 1960 edition. |

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Page 11

is such that the conditional probability distribution of Xn+1 depends only on the

value of Xn and is independent of all previous values, we say that the process

has the Markov property and call it a

is such that the conditional probability distribution of Xn+1 depends only on the

value of Xn and is independent of all previous values, we say that the process

has the Markov property and call it a

**Markov chain**. More precisely, = *n+i I X.Page 13

This functional equation, which characterizes

importance in the theory of

establishes the connection between

of ...

This functional equation, which characterizes

**Markov chains**, is of fundamentalimportance in the theory of

**Markov chains**, and it is this equation whichestablishes the connection between

**Markov chains**and the theory of semigroupsof ...

Page 377

The third method of representing queueing systems leads to mixed Markov

processes. Finally, we consider the integral equation representation. B.

...

The third method of representing queueing systems leads to mixed Markov

processes. Finally, we consider the integral equation representation. B.

**Markov****Chain**Representation. The Method of the Imbedded**Markov Chain**. A method of...

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### Contents

Introduction | 1 |

Processes Discrete in Space and Time | 9 |

Processes Discrete in Space and Continuous in Time | 57 |

Copyright | |

10 other sections not shown

### Other editions - View all

Elements of the Theory of Markov Processes and Their Applications A. T. Bharucha-Reid Limited preview - 2012 |

Elements of the Theory of Markov Processes and Their Applications Albert T. Bharucha-Reid Limited preview - 1997 |

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