Journal ArticleDOI
Parameter Estimation for the Truncated Pareto Distribution
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The Pareto distribution is a simple model for nonnegative data with a power law probability tail as mentioned in this paper, and there is a natural upper bound that truncates the probability tail.Abstract:
The Pareto distribution is a simple model for nonnegative data with a power law probability tail. In many practical applications, there is a natural upper bound that truncates the probability tail. This article derives estimators for the truncated Pareto distribution, investigates their properties, and illustrates a way to check for fit. These methods are illustrated with applications from finance, hydrology, and atmospheric science.read more
Citations
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Stable non-Gaussian random processes , by G. Samorodnitsky and M. S. Taqqu. Pp. 632. £49.50. 1994. ISBN 0-412-05171-0 (Chapman and Hall).
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On the levy-walk nature of human mobility
TL;DR: A simple truncated Levy walk mobility (TLW) model is constructed that emulates the statistical features observed in the analysis and under which the performance of routing protocols in delay-tolerant networks (DTNs) and mobile ad hoc networks (MANETs) is measured.
Book
Stochastic Models for Fractional Calculus
TL;DR: In this article, the traditional diffusion model was extended to the vector fractional diffusion model, which is the state-of-the-art diffusion model for the problem of diffusion.
Journal ArticleDOI
Integrating Risk and Resilience Approaches to Catastrophe Management in Engineering Systems
TL;DR: Management of the 2011 flooding in the Mississippi River Basin is discussed as an example of the successes and challenges of resilience-based management of complex natural systems that have been extensively altered by engineered structures.
On the Levy-walk nature of human mobility: Do humans walk like monkeys?
TL;DR: It is shown that many statistical features of human walks follow truncated power-law, showing evidence of scale-freedom and do not conform to the central limit theorem.
References
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An Introduction to Probability Theory and Its Applications
David A. Freedman,William Feller +1 more
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An Introduction to Probability Theory and Its Applications.
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The random walk's guide to anomalous diffusion: a fractional dynamics approach
Ralf Metzler,Joseph Klafter +1 more
TL;DR: Fractional kinetic equations of the diffusion, diffusion-advection, and Fokker-Planck type are presented as a useful approach for the description of transport dynamics in complex systems which are governed by anomalous diffusion and non-exponential relaxation patterns.