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Range-Renewal Processes: SLLN, Power Law and Beyonds
Range-renewal SLLN Power Law Small World Regular Varying
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2013/6/14
Given $n$ samples of a regular discrete distribution $\pi$, we prove in this article first a serial of SLLNs results (of Dvoretzky and Erd\"{o}s' type) which implies a typical power law when $\pi$ is ...
Using GPU Simulation to Accurately Fit to the Power-Law Distribution
Zipf distribution power law Kolmogorov-Smirnov test parallel computing simulation graph-ics processing unit programming
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2013/6/14
This article describes a methodology for fitting experimental data to the discrete power-law distribution and provides the results of a detailed simulation exercise used to calculate accurate cutoff v...
Power-law of Aggregate-size Spectra in Natural Systems
aggregate-size fractal dimension river basins networks systems allometry
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2013/4/28
Patterns of animate and inanimate systems show remarkable similarities in their aggregation. One similarity is the double-Pareto distribution of the aggregate-size of system components. Different mode...
Power-law distributions in empirical data
Power-law distributions Pareto Zipf maximum likelihood heavy-tailed distributions likelihood ratio test model selection
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2010/4/29
Power-law distributions occur in many situations of scientific interest and have
significant consequences for our understanding of natural and man-made phenomena. Unfortunately,the detection and char...