A random multiplicative process (RMP) is one of the basic models which can generate a power law distribution. Actually, the distribution generated by RMP has two parts, which are closely matched to the head of a log-normal distribution and the tail of a power law distribution. We investigated...

One class of universal mechanisms that generate power-law probability distributions is that of random multiplicative processes. In this paper, we consider a multiplicative Langevin equation driven by non-Gaussian colored multipliers. We analytically derive a formula that relates the power-law...

In this paper, we report an analysis of the protein sequence length distribution for 13 bacteria, four archaea and one eukaryote whose genomes have been completely sequenced. The frequency distribution of protein sequence length for all the 18 organisms are remarkably similar, independent of...

We introduce a stochastic model which describes the information diffusion on the network of a popular web service, Twitter. Restricting our attention to the daily diffusion from a popular account, we model the information diffusion as a random multiplicative process. We justify our model by...

We explain a possible mechanism of an information spreading on a network which spreads extremely far from a seed node, namely the viral spreading. On the basis of a model of the information spreading in an online social network, in which the dynamics is expressed as a random multiplicative...

We provide an approach to forecasting the long-run (unconditional) distribution of equity returns making optimal use of historical data in the presence of structural breaks. Our focus is on learning about breaks in real time and assessing their impact on out-of-sample density forecasts....

Aggregate stock market returns display negative skewness. Firm-level stock returns display positive skewness. The large literature that tries to explain the first stylized fact ignores the second. This paper provides a unified theory that reconciles the two facts. I build a stationary asset...

This paper investigates empirically the relationship between domestic and international market returns and volatilities, using the London Stock Exchange as the international market proxy. In order to address problems of widely differing bourse composition, the relationships are tested at both...

The purpose of this paper is to analyze the relationship between the productive efficiency of Spanish banks, whose shares are traded in the Spanish stock market, and their market returns. Based on recent theoretical contributions that relate the efficiency with bank management quality, we first...

This paper studies the role of insider trading in explaining cross-country differences in stock market volatility. The central finding is that countries with more prevalent insider trading have more volatile stock markets, even after one controls for liquidity/maturity of the market and the...