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Evidence for mild deviation from power-law distribution of electrons in relativistic shocks: GRB 090902B
radiation mechanisms: non-thermal - methods: analytical - methods: numerical- gamma-rays: bursts, theory - gamma-ray burst: individual: GRB090902B
2011/9/29
Many previous studies have determined that the long lasting emission at X-ray, optical and radio wavelengths from gamma-ray bursts (GRBs), called the afterglow, is likely produced by the external forw...
A solvable model of fracture with power-law distribution of fragment sizes
solvable model power-law distribution Statistical Mechanics
2011/7/27
Abstract: The present paper describes a stochastic model of fracture, whose fragment size distribution can be calculated analytically as a power-law-like distribution. The model is basically cascade f...
The Anderson-Darling test of fit for the power law distribution from left censored samples
Power law distribution Complexity Goodness-of-fit EDFbased tests Anderson-Darling Asymptotic distributions Type II censoring Maximum likelihood estimation
2010/4/28
Maximum likelihood estimation and a test of fit based on the Anderson-Darling statistic is presented for the case of the power law distribution when the parameters are estimated from a left-censored ...
Generating more realistic complex networks from power-law distribution of fitness
Power-law Scale-free networks Complex networks Fitness model
2010/7/5
In this work we analyze the implications of using a power law distribution of vertice’s quality in the growth dynamics of a network studied by Bianconi and Barab´asi. Using this suggested distri...