A generalization of the power law distribution with nonlinear exponent
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- 作者：Faustino Prieto ; faustino.prieto@unican.es" class="auth_mail" title="E-mail the corresponding author ; José ; Marí ; a Sarabia
- 关键词：Power law behavior ; Whole range fitting ; Complexity ; Municipal debt
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：42
- 期：Complete
- 页码：215-228
- 全文大小：1139 K
文摘
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We focus on the whole range of data, whose upper tail follows a power-law behavior.
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We modeled the exponent of the Power Law distribution using a non-linear function.
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We found a new family of Generalized Power Law (GPL) distributions.
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We studied a relevant model of that family, the GPL(α, β, σ) distribution.
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GPL(α, β, σ) dist. can be useful for modeling municipal debt data in the whole range.