Asymptotic tail behaviour of phase-type scale mixture distributions
2017 ◽
Vol 12
(2)
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pp. 412-432
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Keyword(s):
AbstractWe consider phase-type scale mixture distributions which correspond to distributions of a product of two independent random variables: a phase-type random variable Y and a non-negative but otherwise arbitrary random variable S called the scaling random variable. We investigate conditions for such a class of distributions to be either light- or heavy-tailed, we explore subexponentiality and determine their maximum domains of attraction. Particular focus is given to phase-type scale mixture distributions where the scaling random variable S has discrete support – such a class of distributions has been recently used in risk applications to approximate heavy-tailed distributions. Our results are complemented with several examples.
2021 ◽
Vol 1791
(1)
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pp. 012066
2012 ◽
Vol 49
(4)
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pp. 1188-1193
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Keyword(s):
Keyword(s):
1968 ◽
Vol 64
(2)
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pp. 485-488
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2013 ◽
Vol 16
(01)
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pp. 1350005
1999 ◽
Vol 36
(01)
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pp. 194-210
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2009 ◽
Vol 46
(3)
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pp. 721-731
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