## Random Processes: A First LookEasy life and good times; Be discreet with discrete; To renew or not to renew; Markovian dance. |

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### Contents

Be Discreet with Discrete | 113 |

To Renew or not to Renew | 161 |

Markovian Dance | 193 |

Copyright | |

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applications approximation arrival assume average cost average number binomial birth busy calculations called clearly common compute conditional consider constant convenient corresponding cost function customers death defined denoted density f depends differentiation discussed distribution equal equation evaluate event exactly Example exponential expressed fact finite fixed formula function given graph Hence increase independent infinite initial instant integral interest interval joint jumps known Laplace transform length less limit lines mathematical mean minutes needed Note Observe obtained occur parameter Pij(t Poisson distribution positive present probability problem properties rabbit random variable relation renewal represents respectively result Section Show simple situations solution Statistics success Suppose theory tion transition trials variance Verify Volume waiting write zero