A characterization of the Burr Type III and Type XII distributions through the method of percentiles and the Spearman correlation

DOI10.1080/03610918.2015.1048878zbMath1362.62035OpenAlexW2176501766MaRDI QIDQ2974960

Todd C. Headrick, Mohan D. Pant

Publication date: 11 April 2017

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10106/26460

zbMATH Keywords

Monte Carlo simulationmethod of momentsmethod of percentiles

Mathematics Subject Classification ID

Measures of association (correlation, canonical correlation, etc.) (62H20) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Approximations to statistical distributions (nonasymptotic) (62E17) Reliability and life testing (62N05)

Related Items (2)

Classical and Bayesian inference for Burr type-III distribution based on progressive type-II hybrid censored data ⋮ The Generalized Johnson Quantile-Parameterized Distribution System

Uses Software

• Mathematica
• Spotfire

Cites Work

• A method for simulating Burr type III and type XII distributions through \(L\)-moments and \(L\)-correlations
• \(q\) exponential is a Burr distribution
• A doubling method for the generalized lambda distribution
• Maximum likelihood methods for fitting the Burr type XII distribution to multiply (progressively) censored life test data
• Simulating univariate and multivariate Tukey \(g\)-and-\(h\) distributions based on the method of percentiles
• 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
• Ratios of Normal Variables and Ratios of Sums of Uniform Variables
• Cumulative Frequency Functions
• Unnamed Item
• Unnamed Item

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