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Title: A model and application of binary random sequence with probabilities depending on history (English)
Author: Volf, Petr
Author: Kouřim, Tomáš
Language: English
Journal: Kybernetika
ISSN: 0023-5954 (print)
ISSN: 1805-949X (online)
Volume: 60
Issue: 1
Year: 2024
Pages: 110-124
Summary lang: English
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Category: math
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Summary: This paper presents a model of binary random sequence with probabilities depending on previous sequence values as well as on a set of covariates. Both these dependencies are expressed via the logistic regression model, such a choice enables an easy and reliable model parameters estimation. Further, a model with time-depending parameters is considered and method of solution proposed. The main objective is then the application dealing with both artificial and real data cases, illustrating the method of model evaluation and its use. (English)
Keyword: recurrent events
Keyword: discrete time process
Keyword: binary sequence
Keyword: varying probabilities
Keyword: logistic regression
Keyword: time-dependent parameters
MSC: 60G50
MSC: 62J12
MSC: 62N02
DOI: 10.14736/kyb-2024-1-0110
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Date available: 2024-04-12T10:19:46Z
Last updated: 2024-04-12
Stable URL: http://hdl.handle.net/10338.dmlcz/152349
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