## 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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Results 1-3 of 78

Page 2

We

population can only increase in size and that the increase in the interval (t, t + At)

is proportional to the number of bacteria present at time t. Hence, we have the ...

We

**assume**(1) that at time t there are x bacteria in the population and (2) that thepopulation can only increase in size and that the increase in the interval (t, t + At)

is proportional to the number of bacteria present at time t. Hence, we have the ...

Page 48

In the one-dimensional case the random variables X„

state space X which consisted of the nonnegative integers; in the ^-dimensional

case, however, the state apace X is the iV-dimensional Euclidean space. Since

the ...

In the one-dimensional case the random variables X„

**assumed**values in thestate space X which consisted of the nonnegative integers; in the ^-dimensional

case, however, the state apace X is the iV-dimensional Euclidean space. Since

the ...

Page 390

We omit the proofs of these two theorems; however, the following remarks are in

order. The expression for the Laplace-Stieltjes transform of F*(w) is equivalent to

the solution obtained by Khintchine [41]. If, following Khintchine, we

...

We omit the proofs of these two theorems; however, the following remarks are in

order. The expression for the Laplace-Stieltjes transform of F*(w) is equivalent to

the solution obtained by Khintchine [41]. If, following Khintchine, we

**assume**that...

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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 |

### Common terms and phrases

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