Corrected discrete approximations for the conditional and unconditional distributions of the continuous scan statistic
2017 ◽
Vol 54
(1)
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pp. 304-319
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Keyword(s):
AbstractThe (conditional or unconditional) distribution of the continuous scan statistic in a one-dimensional Poisson process may be approximated by that of a discrete analogue via time discretization (to be referred to as the discrete approximation). Using a change of measure argument, we derive the first-order term of the discrete approximation which involves some functionals of the Poisson process. Richardson's extrapolation is then applied to yield a corrected (second-order) approximation. Numerical results are presented to compare various approximations.
2018 ◽
Vol 38
(1)
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pp. 77-101
Keyword(s):
1998 ◽
Vol 35
(1)
◽
pp. 27-35
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1998 ◽
Vol 35
(01)
◽
pp. 27-35
◽
2015 ◽
Vol 300
◽
pp. 423-437
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