From Pareto to Weibull – A Constructive Review of Distributions on ℝ+

DOI10.1111/insr.12508arXiv2012.13348OpenAlexW4281729716MaRDI QIDQ6089875

Patrick Weber, Julien Trufin, Unnamed Author, Christophe Ley, Unnamed Author, Yves Dominicy

Publication date: 15 December 2023

Published in: International Statistical Review (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.13348

zbMATH Keywords

Weibull distributionpower lawPareto distributionflexible modellingexponential cut-off

Mathematics Subject Classification ID

Statistics (62-XX) Equilibrium statistical mechanics (82Bxx) Statistical distribution theory (62Exx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
• Critical phenomena in natural sciences. Chaos, fractals, selforganization and disorder: concepts and tools.
• A family of skew distributions with mode-invariance through transformation of scale
• Possible generalization of Boltzmann-Gibbs statistics.
• The Double Pareto-Lognormal Distribution—A New Parametric Model for Size Distributions
• A random graph model for massive graphs
• Selection, Growth, and the Size Distribution of Firms
• Power-Law Distributions in Empirical Data
• Statistical Size Distributions in Economics and Actuarial Sciences
• A Brief History of Generative Models for Power Law and Lognormal Distributions
• Nonextensive statistical mechanics: a brief review of its present status
• Modelling Earthquakes: Characterizing Magnitudes and Inter-Arrival Times
• A tractable and interpretable four-parameter family of unimodal distributions on the circle
• Flexible modelling in statistics: past, present and future
• Estimation of ordinary differential equation parameters using constrained local polynomial regression
• Parameter Estimation for the Truncated Pareto Distribution
• On Families of Distributions with Shape Parameters

This page was built for publication: From Pareto to Weibull – A Constructive Review of Distributions on ℝ⁺