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dc.contributor.author | Headrick, Todd C. | |
dc.contributor.author | Pant, Mohan | |
dc.date.accessioned | 2013-01-31T15:17:41Z | |
dc.date.available | 2013-01-31T15:17:41Z | |
dc.date.issued | 2012 | |
dc.identifier.citation | Published in ISRN Probability and Statistics 2012 | en_US |
dc.identifier.uri | http://hdl.handle.net/10106/11263 | |
dc.description.abstract | This paper introduces a standard logistic L-moment-based system of distributions. The proposed
system is an analog to the standard normal conventional moment-based Tukey g-h, g, h, and h-h
system of distributions. The system also consists of four classes of distributions and is referred to as
i asymmetric γ-κ, ii log-logistic γ, iii symmetric κ, and iv asymmetric κL-κR. The system can
be used in a variety of settings such as simulation or modeling events—most notably when heavytailed distributions are of interest. A procedure is also described for simulating γ-κ, γ, κ, and κL-κR
distributions with specified L-moments and L-correlations. The Monte Carlo results presented in
this study indicate that estimates of L-skew, L-kurtosis, and L-correlation associated with the γ-κ, γ,
κ, and κL-κR distributions are substantially superior to their corresponding conventional productmoment estimators in terms of relative bias and relative standard error. | |
dc.language.iso | en_US | en_US |
dc.publisher | Hindawi Publishing Corporation, | en_US |
dc.subject | Monte Carlo | en_US |
dc.subject | Moments | en_US |
dc.subject | Simulation | en_US |
dc.title | A logistic L-moment based analog for the Tukey g-h, g, h, and h-h system of distributions | en_US |
dc.type | Article | en_US |
dc.publisher.department | Department of Curriculum & Instruction, The University of Texas at Arlington | |
dc.identifier.externalLinkDescription | The original publication is available at Article DOI | en_US |
dc.identifier.doi | http://dx.doi.org/10.5402/2012/245986 | |
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