## Doubly Stochastic Poisson Processes |

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### Contents

1 | |

Some miscellaneous results | 31 |

1 | 41 |

83 | 54 |

Characterization and convergence of nonatomic | 65 |

A functional limit theorem | 76 |

Estimation of random variables | 86 |

205 | 95 |

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### Common terms and phrases

absolutely continuous absolutely dominated Assume asymptotically Bé B(x best estimate best linear estimate Billingsley 1968 Borel algebra Borel measures bounded sets Consider constant curve represents continuous curve represents convergence curve represents A(t defined definition denote distribution function doubly stochastic Poisson example exists finite follows from theorem function f given Grandell Hilbert space Illustration of estimates independent integrable Iſl Kerstan Lebesgue measure lemma lim ſ Markov chain Matthes and Mecke nonnegative notations observed Palm probabilities piecewise constant curve piecewise continuous curve point process probability measure probability space Prſ random measure random variable renewal process rºl Rudemo ſ f ſ f(x ſ h spectral density stochastic Poisson process stochastic Poisson sequence stochastic process tion topology vague topology values vector weighted Poisson process