## 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 152

We have defined Hi(t,aro;ri,fa) and H2(t,xo;fore) as probabilities of absorption at ri

and r, within time t,

lim H1(t,xo:ri,f.) (3.105) t—-oo and H2(ro;flora) = lim H2(t,xo;fore) (3.106) t—-oo ...

We have defined Hi(t,aro;ri,fa) and H2(t,xo;fore) as probabilities of absorption at ri

and r, within time t,

**respectively**, when X(0) = aro e (r1,r2). Now let H1(ro;ri,fa) =lim H1(t,xo:ri,f.) (3.105) t—-oo and H2(ro;flora) = lim H2(t,xo;fore) (3.106) t—-oo ...

Page 215

Random fluctuations in selection intensities: asz) = V.2°(1–2)*, b(z) = Sa:(l − 2),

where 5 and V, are the mean and variance,

coefficients (assumed to be a random variable). 3. Selection without dominance ...

Random fluctuations in selection intensities: asz) = V.2°(1–2)*, b(z) = Sa:(l − 2),

where 5 and V, are the mean and variance,

**respectively**, of the selectioncoefficients (assumed to be a random variable). 3. Selection without dominance ...

Page 219

These equations give the rate of fixation of A2 and A1,

initial conditions mos()) = m1(0) = 0 and the expression for f(t,a:;aro), the

solutions of these equations can be very easily obtained. C. Random Drift in the

Case of ...

These equations give the rate of fixation of A2 and A1,

**respectively**. By using theinitial conditions mos()) = m1(0) = 0 and the expression for f(t,a:;aro), the

solutions of these equations can be very easily obtained. C. Random Drift in the

Case of ...

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### Contents

Introduction | 1 |

Processes Discrete in Space and Continuous in Time | 57 |

Processes Continuous in Space and Time | 129 |

Copyright | |

9 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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