Phase-Type Distributions and Optimal Stopping for Autoregressive Processes
2012 ◽
Vol 49
(1)
◽
pp. 22-39
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Keyword(s):
Autoregressive processes are intensively studied in statistics and other fields of applied stochastics. For many applications, the overshoot and the threshold time are of special interest. When the upward innovations are in the class of phase-type distributions, we determine the joint distribution of these two quantities and apply this result to problems of optimal stopping. Using a principle of continuous fit, this leads to explicit solutions.
2012 ◽
Vol 49
(01)
◽
pp. 22-39
◽
2004 ◽
Vol 36
(1)
◽
pp. 116-138
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Keyword(s):
2002 ◽
Vol 30
(3)
◽
pp. 6-8
◽
2020 ◽
Vol 23
(5)
◽
pp. 1431-1451
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Keyword(s):
2015 ◽
Vol 310
◽
pp. 157-177
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Keyword(s):