This paper studies the size distributions of urban agglomerations for India and China. We have estimated the scaling exponent for Zipf’s law with the Indian census data for the years of 1981–2001 and the Chinese census data for 1990 and 2000. Along with the biased linear fit estimate, the...

The Zipf analysis of n-words in random sequences and financial data series like the stock prices of a company has been performed. The bias as well as the resulting staircase structure of the Zipf plots are taken into account in the subsequent analysis. It is found that correlations for the sign...

Pareto distributions, and power laws in general, have demonstrated to be very useful models to describe very different phenomena, from physics to finance. In recent years, the econophysical literature has proposed a large amount of papers and models justifying the presence of power laws in...

Significant departures from log normality are observed in income data, in violation of Gibrat's law. We identify a new empirical regularity, which is that the distribution of consumption expenditures across households is, within cohorts, closer to log normal than the distribution of income. We...