The distribution of total dividend payments in a Sparre Andersen model
We study the distribution of the total dividend payments in a Sparre Andersen model with phase-type inter-claim times in the presence of a constant dividend barrier. This paper shows that the distribution of the total dividend payments prior to the time of ruin is a mixture of a degenerate distribution at zero and a phase-type distribution. Further, the total dividends prior to ruin can be expressed as a compound geometric sum.
Year of publication: |
2009
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Authors: | Li, Shuanming ; Lu, Yi |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 79.2009, 9, p. 1246-1251
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Publisher: |
Elsevier |
Saved in:
Saved in favorites
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