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**Pruscha, H. (1998): Semiparametric Point Process and Time Series Models for Series of Events. Collaborative Research Center 386, Discussion Paper 114 [PDF, 264kB]**

## Abstract

We are dealing with series of events occurring at random times tau_n and carrying further quantitive information xi_n . Examples are sequences of extrasystoles in ECGrecords. We will present two approaches for analyzing such (typically long) sequences (tau_n, xi_n ), n = 1, 2, ... . (i) A point process model is based on an intensity of the form alpha(t) * b_t(theta), t >= 0, with b_t a stochastic intensity of the selfexciting type. (ii) A time series approach is based on a transitional GLM. The conditional expectation of the waiting time sigma_{n+1} = tau_{n+1} - tau_n is set to be v(tau_n) * h(eta_n(theta)), with h a response function and eta_n a regression term. The deterministic functions alpha and v, respectively, describe the long-term trend of the process.

Item Type: | Paper |
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Faculties: | Mathematics, Computer Science and Statistics > Statistics > Collaborative Research Center 386 Special Research Fields > Special Research Field 386 |

Subjects: | 500 Science > 510 Mathematics |

URN: | urn:nbn:de:bvb:19-epub-1503-0 |

Language: | English |

Item ID: | 1503 |

Date Deposited: | 04. Apr 2007 |

Last Modified: | 04. Nov 2020, 12:45 |