## 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 243

In obtaining the above solutions we have made no assumption concerning the

interest: (1) the cascade is initiated by a single

2) ...

In obtaining the above solutions we have made no assumption concerning the

**primary**particle which initiates the cascade process. Two cases are of specialinterest: (1) the cascade is initiated by a single

**primary**electron of energy Eo or (2) ...

Page 257

0 is the probability that a

the interval (t, t + dt) giving rise to secondary particles in the energy intervals (E",

E '+ dB") and (E", E" + dE"). It is now assumed that w(e',e") = 0 for e' + e" > 1, ...

0 is the probability that a

**primary**particle of energy Eo experiences a collision inthe interval (t, t + dt) giving rise to secondary particles in the energy intervals (E",

E '+ dB") and (E", E" + dE"). It is now assumed that w(e',e") = 0 for e' + e" > 1, ...

Page 300

... and Type II counters are used in the theory of electron multipliers, scintillation

or crystal counters, and electronic amplifiers. In addition to assuming that the

counter is either Type I or Type II, it is usually assumed that the sequence of

... and Type II counters are used in the theory of electron multipliers, scintillation

or crystal counters, and electronic amplifiers. In addition to assuming that the

counter is either Type I or Type II, it is usually assumed that the sequence of

**primary**...### What people are saying - Write a review

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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

absorber addition applications approach arrival associated assume assumptions becomes birth boundary branching processes called cascade coefficients collision concerned condition consider constant continuous counter death defined denote density derive described determined developed differential equation diffusion discussion distribution function electron energy epidemic equal exists expected expression finite fluctuation given gives growth Hence independent individuals initial condition integral interest interval introduce Kolmogorov equations Laplace transform length limit machine Markov Markov chain Markov processes Math mathematical mean method moments necessary nucleon obtain particle particular photon Poisson population positive primary problem Proof properties queueing radiation random variable reaction refer relation represent respectively satisfies shown simple ſº solution Statist Stochastic Processes Theorem theory tion transition probabilities zero