36 citations · 113 across the 8 of their papers we have counts for
9 papers
The brevity law as a scaling law, and a possible origin of Zipf's law for word frequencies
Alvaro Corral, Isabel Serra
An important body of quantitative linguistics is constituted by a series of statistical laws about language usage. Despite the importance of these linguistic laws, some of them are…
Time window to constrain the corner value of the global seismic-moment distribution
Alvaro Corral, Isabel Serra
It is well accepted that, at the global scale, the Gutenberg-Richter (GR) law describing the distribution of earthquake magnitude or seismic moment has to be modified at the tail t…
The distinct flavors of Zipf's law in the rank-size and in the size-distribution representations, and its maximum-likelihood fitting
Alvaro Corral, Isabel Serra, Ramon Ferrer-i-Cancho
In the last years, researchers have realized the difficulties of fitting power-law distributions properly. These difficulties are higher in Zipf's systems, due to the discreteness…
Universality of power-law exponents by means of maximum likelihood estimation
Víctor Navas-Portella, Álvaro González, Isabel Serra +2
Power-law type distributions are extensively found when studying the behaviour of many complex systems. However, due to limitations in data acquisition, empirical datasets often on…
Increasing power-law range in avalanche amplitude and energy distributions
Víctor Navas-Portella, Isabel Serra, Álvaro Corral +1
Power-law type probability density functions spanning several orders of magnitude are found for different avalanche properties. We propose a methodology to overcome empirical const…
The Mean/Max Statistic in Extreme Value Analysis
Paul Rochet, Isabel Serra
Most extreme events in real life can be faithfully modeled as random realizations from a Generalized Pareto distribution, which depends on two parameters: the scale and the shape.…