We provide a trend prediction classification framework named the random sampling method (RSM) for cryptocurrency time series that are non-stationary. This framework is based on deep learning (DL). We compare the performance of our approach to two classical baseline methods in the case of the...

We provide a trend prediction classification framework named the random sampling method (RSM) for cryptocurrency time series that are non-stationary. This framework is based on deep learning (DL). We compare the performance of our approach to two classical baseline methods in the case of the...

The aim of this paper is to compare statistical properties of stock price indices in periods of booms with those in periods of stagnations. We use the daily data of the four stock price indices in the major stock markets in the world: (i) the Nikkei 225 index (Nikkei 225) from January 4, 1975 to...

The aim of this paper is to propose a new model of bubbles and crashes to elucidate a mechanism of bubbles and subsequent crashes. We consider an asset market in which the risky assets into two classes, the risky asset, and the risk-free asset are traded. Investors are divided into two groups of...

The aim of this paper is to provide one potential theoretical explanation for questions how asset bubbles come about, why it persists, and what caused it to burst. We propose a new model of bubbles and crashes. We divide the risky assets into two classes, the bubble asset and the non-bubble...

The fractional Poisson process (FPP) is a counting process with independent and identically distributed inter-event times following the Mittag-Leffler distribution. This process is very useful in several fields of applied and theoretical physics including models for anomalous diffusion. Contrary...

In this study, we investigate the statistical properties of the returns and the trading volume. We show a typical example of power-law distributions of the return and of the trading volume. Next, we propose an interacting agent model of stock markets inspired from statistical mechanics [24] to...

In this study, we investigate the statistical properties of the stock return volatility, defined as the absolute value of the logarithmic relative price changes. We show examples of power-law and of exponential-law for the volatility observed in the Japanese stock markets, and propose a...

The aim of this paper is to demonstrate that dynamic paths in a model of discrete choice with social interactions, which have been developed by Brock and Durlauf (1999, 2001a, 2001b, 2006), converge some self-consistent equilibrium. To this aim, we propose an asynchronous model of...