dorsal/arxiv
View SchemaOn the gap between an empirical distribution and an exponential distribution of waiting times for price changes in a financial market
| Authors | Naoya Sazuka |
|---|---|
| Categories | |
| ArXiv ID | physics/0606005 |
| URL | https://arxiv.org/abs/physics/0606005 |
| DOI | 10.1016/j.physa.2006.10.094 |
Abstract
We analyze waiting times for price changes in a foreign currency exchange rate. Recent empirical studies of high frequency financial data support that trades in financial markets do not follow a Poisson process and the waiting times between trades are not exponentially distributed. Here we show that our data is well approximated by a Weibull distribution rather than an exponential distribution in a non-asymptotic regime. Moreover, we quantitatively evaluate how much an empirical data is far from an exponential distribution using a Weibull fit. Finally, we discuss a phase transition between a Weibull-law and a power-law in the asymptotic long waiting time regime.
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"abstract": "We analyze waiting times for price changes in a foreign currency exchange\nrate. Recent empirical studies of high frequency financial data support that\ntrades in financial markets do not follow a Poisson process and the waiting\ntimes between trades are not exponentially distributed. Here we show that our\ndata is well approximated by a Weibull distribution rather than an exponential\ndistribution in a non-asymptotic regime. Moreover, we quantitatively evaluate\nhow much an empirical data is far from an exponential distribution using a\nWeibull fit. Finally, we discuss a phase transition between a Weibull-law and a\npower-law in the asymptotic long waiting time regime.",
"arxiv_id": "physics/0606005",
"authors": [
"Naoya Sazuka"
],
"categories": [
"physics.soc-ph",
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"q-fin.ST"
],
"doi": "10.1016/j.physa.2006.10.094",
"title": "On the gap between an empirical distribution and an exponential distribution of waiting times for price changes in a financial market",
"url": "https://arxiv.org/abs/physics/0606005"
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