Extremal properties of shot noise processes
Keyword(s):
Consider the shot noise process X(t):= Σih(t – τi), , where h is a bounded positive non-increasing function supported on a finite interval, and the are the points of a renewal process η on [0, ). In this paper, the extremal properties of {X(t)} are studied. It is shown that these properties can be investigated in a natural way through a discrete-time process which records the states of {X(t)} at the points of η. The important special case where η is Poisson is treated in detail, and a domain-of-attraction result for the compound Poisson distribution is obtained as a by-product.
1989 ◽
Vol 21
(03)
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pp. 513-525
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1986 ◽
ON THE DENSITY OF HAUSDORFF DIMENSIONS OF BOUNDED TYPE CONTINUED FRACTION SETS: THE TEXAN CONJECTURE
2004 ◽
Vol 04
(01)
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pp. 63-76
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2005 ◽
Vol 48
(2)
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pp. 221-236
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Keyword(s):
1987 ◽
Vol 24
(04)
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pp. 978-989
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Keyword(s):
2014 ◽
pp. 1224-1224
Keyword(s):
1970 ◽
Vol 22
(1)
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pp. 128-133
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