Presentation 2002/4/11
Fractal Poisson Process
Fumiaki MACHIHARA, Yukihiro SHIOMI,
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Abstract(in English) An interrupted Poisson process has two states, on-state and off-state. In the on-state, Poisson arrivals occur, and on the other hand, there are no arrivals in the off-state. As the variation becoming larger, the arrival process is changed to a more complex interrupted Poisson process generated by embedding new off-states in each on-state. In such a way, recursively embedding off-states in on-states and taking a limit, a fractal structure can be found in the on-off structure. We name the arrival process Fractal Poisson Process and study it. The inter-arrival time density has a heavy tail.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Variation / Interrupted Poisson process / Fractal Poisson process
Paper # NS2002-13
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Committee NS
Conference Date 2002/4/11(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) Fractal Poisson Process
Sub Title (in English)
Keyword(1) Variation
Keyword(2) Interrupted Poisson process
Keyword(3) Fractal Poisson process
1st Author's Name Fumiaki MACHIHARA
1st Author's Affiliation Department of Information Sciences, Tokyo Denki University()
2nd Author's Name Yukihiro SHIOMI
2nd Author's Affiliation Department of Information Sciences, Tokyo Denki University
Date 2002/4/11
Paper # NS2002-13
Volume (vol) vol.102
Number (no) 19
Page pp.pp.-
#Pages 4
Date of Issue