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Some properties of the failure rate function for mixtures of Erlang distributions

Author

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  • George Tzavelas
  • Christina Koutropoulou
  • Konstadinos Politis

Abstract

We study some properties of the failure rate for a mixture of Erlang distributions. In particular, we discuss mixtures of Erlang distributions with the same scale parameter and we describe the behavior of the failure rate. Some remarks are also given for an infinite mixture of Erlangs, in particular with regard to stochastic order properties.

Suggested Citation

  • George Tzavelas & Christina Koutropoulou & Konstadinos Politis, 2022. "Some properties of the failure rate function for mixtures of Erlang distributions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(17), pages 5850-5872, September.
  • Handle: RePEc:taf:lstaxx:v:51:y:2022:i:17:p:5850-5872
    DOI: 10.1080/03610926.2020.1849720
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