dc.contributor.author | Pant, Mohan | |
dc.contributor.author | Headrick, Todd C. | |
dc.date.accessioned | 2014-01-15T02:52:49Z | |
dc.date.available | 2014-01-15T02:52:49Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Published in ISRN Applied Mathematics 2013:1-14, 2013 | en_US |
dc.identifier.uri | http://hdl.handle.net/10106/23984 | |
dc.description.abstract | This paper derives the Burr Type III and Type XII family of distributions in the contexts of univariate 𝐿-moments and the 𝐿-
correlations. Included is the development of a procedure for specifying nonnormal distributions with controlled degrees of 𝐿-skew,
𝐿-kurtosis, and 𝐿-correlations. The procedure can be applied in a variety of settings such as statistical modeling (e.g., forestry,
fracture roughness, life testing, operational risk, etc.) and Monte Carlo or simulation studies. Numerical examples are provided
to demonstrate that 𝐿-moment-based Burr distributions are superior to their conventional moment-based analogs in terms of
estimation and distribution fitting. Evaluation of the proposed procedure also demonstrates that the estimates of 𝐿-skew, 𝐿-kurtosis,
and 𝐿-correlation are substantially superior to their conventional product moment-based counterparts of skew, kurtosis, and
Pearson correlations in terms of relative bias and relative efficiency—most notably when heavy-tailed distributions are of concern. | |
dc.language.iso | en_US | en_US |
dc.publisher | Hindawi Publishing Corporation | en_US |
dc.subject | Burr Type III distributions | en_US |
dc.subject | Burr Type XII distributions | en_US |
dc.subject | L-moments | en_US |
dc.subject | L-correlations | en_US |
dc.title | A Method for Simulating Burr Type III and Type XII Distributions through 𝐿-Moments and 𝐿-Correlations | en_US |
dc.type | Article | en_US |
dc.publisher.department | Department of Curriculum and Instruction, The University of Texas at Arlington | en_US |
dc.identifier.externalLinkDescription | The original publication is available at Article DOI | en_US |
dc.identifier.doi | http://dx.doi.org/10.1155/2013/191604 | |