Presentation | 2002/4/11 Fractal Poisson Process Fumiaki MACHIHARA, Yukihiro SHIOMI, |
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Abstract(in Japanese) | (See Japanese page) |
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 |
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Conference Date | 2002/4/11(1days) |
Place (in Japanese) | (See Japanese page) |
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Topics (in Japanese) | (See Japanese page) |
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Paper Information | |
Registration To | Network Systems(NS) |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
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 |
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