## 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 200

of size n + 1 at time t and let X(0) = n; i.e., at the start of the epidemic there is only

one infected individual in the population. LetPx(<) = &{X(t) = x}, x = 0, 1, . . . , n.

**Let the random**variable X(t) represent the number of susceptible* in a populationof size n + 1 at time t and let X(0) = n; i.e., at the start of the epidemic there is only

one infected individual in the population. LetPx(<) = &{X(t) = x}, x = 0, 1, . . . , n.

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Random drift only: a(x) = — x{l — x),b(x) = 0, where N is the effective population

size. 2. ... Consider a random mating population of N diploid parents and let A1

and A2 denote a pair of alleles with frequencies x and 1 — x, respectively.

...

Random drift only: a(x) = — x{l — x),b(x) = 0, where N is the effective population

size. 2. ... Consider a random mating population of N diploid parents and let A1

and A2 denote a pair of alleles with frequencies x and 1 — x, respectively.

**Let the**...

Page 219

Consider a

denote the three alleles, with frequencies x = AJ(A1 + At -f- A3),* y = Azj(A1 + At +

A3),, and z = I — (x + y), respectively. Since x + y + z = 1, we need consider only ...

Consider a

**random**mating population of N diploid parents and**let**Av A2, and A3denote the three alleles, with frequencies x = AJ(A1 + At -f- A3),* y = Azj(A1 + At +

A3),, and z = I — (x + y), respectively. Since x + y + z = 1, we need consider only ...

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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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