A method for simulating Burr type III and type XII distributions through \(L\)-moments and \(L\)-correlations

DOI10.1155/2013/191604zbMath1302.60034OpenAlexW2128447469WikidataQ58992046 ScholiaQ58992046MaRDI QIDQ469805

Mohan D. Pant, Todd C. Headrick

Publication date: 11 November 2014

Published in: ISRN Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/191604

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Moment problems (44A60)

Related Items (5)

A characterization of power method transformations through the method of percentiles ⋮ The t-transformed power method distributions for simulating univariate and multivariate non-normal distributions ⋮ A characterization of the Burr Type III and Type XII distributions through the method of percentiles and the Spearman correlation ⋮ Simulating univariate and multivariate Tukey \(g\)-and-\(h\) distributions based on the method of percentiles ⋮ A family of Bayesian estimators for the two-parametric Burr type II distribution

Uses Software

• Mathematica
• LMOMENTS
• Spotfire

Cites Work

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• \(q\) exponential is a Burr distribution
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• An \(L\)-moment-based analog for the Schmeiser-Deutsch class of distributions
• A method for simulating nonnormal distributions with specified \(L\)-skew, \(L\)-kurtosis, and \(L\)-correlation
• Maximum likelihood methods for fitting the Burr type XII distribution to multiply (progressively) censored life test data
• A contribution to multivariate L-moments: L-comoment matrices
• Statistical Simulation
• A Look at the Burr and Related Distributions
• A guide to the Burr type XII distributions
• Reliability of a Stress-Strength Model with Burr Type III Distributions
• Pameters for a general system of distributions to match a grid of α₃and α₄
• Cumulative Frequency Functions

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