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We evaluate the average waiting time between observing the price of financial markets and the next price change, especially in an on-line foreign exchange trading service for individual customers via the internet. Basic technical idea of…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Naoya Sazuka , Jun-ichi Inoue

A theory which describes the share price evolution at financial markets as a continuous-time random walk has been generalized in order to take into account the dependence of waiting times t on price returns x. A joint probability density…

Statistical Mechanics · Physics 2015-06-24 Przemyslaw Repetowicz , Peter Richmond

We briefly review our recent studies on stochastic processes modelling internet on-line trading. We present a way to evaluate the average waiting time between the observation of the price in financial markets and the next price change,…

Statistical Finance · Quantitative Finance 2010-07-21 Jun-ichi Inoue , Naoya Sazuka , Enrico Scalas

We analyze tick data of yen-dollar exchange with a focus on its up and down movement. We show that there exists a rather particular conditional probability structure with such high frequency data. This result provides us with evidence to…

Condensed Matter · Physics 2009-11-07 Toru Ohira , Naoya Sazuka , Kouhei Marumo , Tokiko Shimizu , Misako Takayasu , Hideki Takayasu

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…

Physics and Society · Physics 2009-11-11 Naoya Sazuka

This paper reports empirical evidence that a neural networks model is applicable to the statistically reliable prediction of foreign exchange rates. Time series data and technical indicators such as moving average, are fed to neural nets to…

Disordered Systems and Neural Networks · Physics 2016-08-31 V. V. Kondratenko , Yu. A Kuperin

We investigate intra-day foreign exchange (FX) time series using the inverse statistic analysis developed in [1,2]. Specifically, we study the time-averaged distributions of waiting times needed to obtain a certain increase (decrease)…

Other Condensed Matter · Physics 2010-05-05 M. H. Jensen , A. Johansen , F. Petroni , I. Simonsen

We introduce an autoregressive-type model with self-modulation effects for a foreign exchange rate by separating the foreign exchange rate into a moving average rate and an uncorrelated noise. From this model we indicate that traders are…

Physics and Society · Physics 2008-12-02 Takayuki Mizuno , Misako Takayasu , Hideki Takayasu

We propose a Genetic Programming architecture for the generation of foreign exchange trading strategies. The system's principal features are the evolution of free-form strategies which do not rely on any prior models and the utilization of…

Neural and Evolutionary Computing · Computer Science 2014-11-11 Simone Cirillo , Stefan Lloyd , Peter Nordin

The goal of developing a firmer theoretical understanding of inhomogenous temporal processes -- in particular, the waiting times in some collective dynamical system -- is attracting significant interest among physicists. Quantifying the…

Statistical Finance · Quantitative Finance 2015-06-12 Guannan Zhao , Mark McDonald , Dan Fenn , Stacy Williams , Neil F. Johnson

A non-trivial probability structure is evident in the binary data extracted from the up/down price movements of very high frequency data such as tick-by-tick data for USD/JPY. In this paper, we analyze the Sony bank USD/JPY rates, ignoring…

Physics and Society · Physics 2009-11-11 Naoya Sazuka

We study the continuous time random walk theory from financial tick data of the yen-dollar exchange rate transacted at the Japanese financial market. The dynamical behavior of returns and volatilities in this case is particularly treated at…

Other Condensed Matter · Physics 2008-12-02 Kyungsik Kim , Seong-Min Yoon , C. Christopher Lee , Myung-Kul Yum

For the purpose of elucidating the correlation among currencies, we analyze daily and high-resolution data of foreign exchange rates. There is strong correlation for pairs of currencies of geographically near countries. We show that there…

Statistical Mechanics · Physics 2008-12-02 Takayuki Mizuno , Shoko Kurihara , Misako Takayasu , Hideki Takayasu

We analyze high-resolution foreign exchange data consisting of 20 million data points of USD-JPY for 13 years to report firm statistical laws in distributions and correlations of exchange rate fluctuations. A conditional probability density…

Statistical Mechanics · Physics 2016-08-31 Takayuki Mizuno , Shoko Kurihara , Misako Takayasu , Hideki Takayasu

Foreign currency exchange plays a vital role for trading of currency in the financial market. Due to its volatile nature, prediction of foreign currency exchange is a challenging task. This paper presents different machine learning…

Computer Vision and Pattern Recognition · Computer Science 2024-05-27 Swagat Ranjit

We first show that there are in fact triangular arbitrage opportunities in the spot foreign exchange markets, analyzing the time dependence of the yen-dollar rate, the dollar-euro rate and the yen-euro rate. Next, we propose a model of…

Statistical Mechanics · Physics 2009-11-07 Yukihiro Aiba , Naomichi Hatano , Hideki Takayasu , Kouhei Marumo , Tokiko Shimizu

We study the tick dynamical behavior of the yen-dollar exchange rate using the rescaled range analysis in financial market. It is found that the multifractal Hurst exponents with the short and long-run memory effects can be obtained from…

Statistical Mechanics · Physics 2015-06-24 Kyungsik Kim , Seong-Min Yoon , Jum-Soo Choi

We consider an M/M/1 feedback queue in which service attempts may fail, requiring the customer to rejoin the queue. Arriving customers act strategically, deciding whether to join the queue based on a threshold strategy that depends on the…

Probability · Mathematics 2025-07-16 Peter Taylor , Jiesen Wang

The time dependence of the currency exchange rate K treated as a function of national dividend, investments and difference between total demand for a goods and supply is considered. To do this a proposed earlier general algorithm of…

General Physics · Physics 2007-05-23 L. Ya. Kobelev , O. L. Kobeleva , Ya. L. Kobelev

In financial markets, not only prices and returns can be considered as random variables, but also the waiting time between two transactions varies randomly. In the following, we analyse the statistical properties of General Electric stock…

Statistical Mechanics · Physics 2009-11-07 M. Raberto , E. Scalas , F. Mainardi
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