Two-sided generalized Topp and Leone (TS-GTL) distributions

DOI10.1080/02664760802230583zbMath1273.62041OpenAlexW2062584721MaRDI QIDQ3183832

Donatella Vicari, Johan René Van Dorp, Samuel Kotz

Publication date: 21 October 2009

Published in: Journal of Applied Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02664760802230583

zbMATH Keywords

order statisticsmaximum likelihood estimationbimodal distribution

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Order statistics; empirical distribution functions (62G30)

Related Items (12)

Topp-Leone distribution with an application to binomial sampling ⋮ A new distribution function with bounded support: the reflected generalized Topp-Leone power series distribution ⋮ Order statistics of generalized Topp-Leone distribution with application to tissue damage proportions in blood ⋮ Moments of order statistics of Topp-Leone distribution ⋮ The Topp-Leone discrete Laplace distribution and its applications ⋮ Topp–Leone generated family of distributions: Properties and applications ⋮ On a bounded bimodal two-sided distribution fitted to the Old-Faithful geyser data ⋮ A novel method to generating two-sided class of probability distributions ⋮ On the Generalized Odd Transmuted Two-Sided Class of Distributions ⋮ Estimation ofP(X>Y) with Topp–Leone distribution ⋮ Likelihood and Bayesian estimation of \(P(Y<X)\) using lower record values from a proportional reversed hazard family ⋮ Two-Sided Generalized Exponential Distribution

Cites Work

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• Families of distributions arising from distributions of order statistics
• Generalized trapezoidal distributions
• Uneven two-sided power distributions with applications in econometric models
• Density estimation
• A Bayesian analysis of some nonparametric problems
• Maximum likelihood estimation via the ECM algorithm: A general framework
• Moments of some J-shaped distributions
• Generalizations of Two-Sided Power Distributions and Their Convolution
• The Standard Two-Sided Power Distribution and its Properties

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