Inhomogeneous phase-type distributions and heavy tails
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- OA-Inhomogeneous_phasetype_distributions_and_heavy_tails
Accepted author manuscript, 376 KB, PDF document
We extend the construction principle of phase-type (PH) distributions to allow for inhomogeneous transition rates and show that this naturally leads to direct probabilistic descriptions of certain transformations of PH distributions. In particular, the resulting matrix distributions enable the carrying over of fitting properties of PH distributions to distributions with heavy tails, providing a general modelling framework for heavy-tail phenomena. We also illustrate the versatility and parsimony of the proposed approach in modelling a real-world heavy-tailed fire insurance datase
Original language | English |
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Journal | Journal of Applied Probability |
Volume | 56 |
Issue number | 4 |
Pages (from-to) | 1044-1064 |
ISSN | 0021-9002 |
DOIs | |
Publication status | Published - 2019 |
- Inhomogeneous phase-type, heavy tail, product integral, matrix Pareto distribution, matrix Weibull distribution
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ID: 232977532