Count model with gamma and Erlang interarrival time distributions (Q2862632)
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scientific article; zbMATH DE number 6228341
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Count model with gamma and Erlang interarrival time distributions |
scientific article; zbMATH DE number 6228341 |
Statements
18 November 2013
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renewal theory
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Erlang
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hazard rate
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Count model with gamma and Erlang interarrival time distributions (English)
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In the paper, the authors study the renewal counting process \(N(t)\) in the case where the underlying distribution is Erlang, i.e. a gamma distribution \( f(x,\alpha ,\beta )\) where \(\beta >0\) and \(\alpha \) is an integer. The authors obtain various expressions for the mean and the variance of \(N(t)\) when \(\alpha =1,2,3\) and the paper contains a real data application.
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