Statistical properties of the circulation of magazines and newspapersS. Picoli jr., R. S. Mendes and L. C. Malacarne
Departamento de Física, Universidade Estadual de Maringá Avenida Colombo 5790, 87020-900, Maringá-PR, Brazil
received 26 July 2005; accepted in final form 28 September 2005
published online 26 October 2005
We analyze data sets containing the circulation of magazines and newspapers. We show that the cumulative distribution follows, in the range of large circulation, a power law behavior whose exponent is ; and deviations from the asymptotic power law behavior can be well described by a q-exponential distribution (Zipf-Mandelbrot law) from Tsallis statistics. We also show that, in the range of large circulation, the distribution of logarithmic growth rates is consistent with an exponential; and the standard deviation of the growth rates is practically independent of the circulation (size). Moreover, we employ a model, inspired in one of the simplest model for firm growth, in order to reproduce some of our findings.
89.90.+n - Other topics in areas of applied and interdisciplinary physics.
89.75.Da - Systems obeying scaling laws.
02.50.-r - Probability theory, stochastic processes, and statistics.
© EDP Sciences 2005