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Start Over Creator Antoch, Jaromír

2. Testing a homogeneity of stochastic processes

Creator:
Antoch, Jaromír and Jarušková, Daniela
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
homogeneous and non-homogeneous Poisson process, counting process, and change point detection
Language:
English
Description:
The paper concentrates on modeling the data that can be described by a homogeneous or non-homogeneous Poisson process. The goal is to decide whether the intensity of the process is constant or not. In technical practice, e.g., it means to decide whether the reliability of the system remains the same or if it is improving or deteriorating. We assume two situations. First, when only the counts of events are known and, second, when the times between the events are available. Several statistical tests for a detection of a change in an intensity of the Poisson process are described and illustrated by an example. We cover both the case when the time of the change is assumed to be known or unknown.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public