Browsing Publications by Subject "Moments"
Now showing items 1-7 of 7
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Characterizing Tukey h and h-h distributions through L-moments and the L-correlation
(Hindawi Publishing Corporation,Department of Curriculum & Instruction, The University of Texas at Arlington, 2012)This paper introduces the Tukey family of symmetric h and asymmetric hh-distributions in the contexts of univariate L-moments and the L-correlation. Included is the development of a procedure for specifying nonnormal ... -
A doubling method for the generalized lambda distributions
(Hindawi Publishing Corporation,Department of Curriculum & Instruction, The University of Texas at Arlington, 2012)This paper introduces a new family of generalized lambda distributions (GLDs) based on a method of doubling symmetric GLDs. The focus of the development is in the context of L-moments and L-correlation theory. As such, ... -
A L-moment based analog for the Schmeiser-Deutsch class of distributions
(Hindawi Publishing Corporation,Department of Curriculum & Instruction, The University of Texas at Arlington, 2012)This paper characterizes the conventional moment-based Schmeiser-Deutsch (S-D) class of distributions through the method of L-moments. The system can be used in a variety of settings such as simulation or modeling various ... -
A logistic L-moment based analog for the Tukey g-h, g, h, and h-h system of distributions
(Hindawi Publishing Corporation,Department of Curriculum & Instruction, The University of Texas at Arlington, 2012)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 ... -
A method for simulating non-normal distributions with specified L-skew, L-kurtosis, and L-correlation
(Hindawi Publishing Corporation,Department of Curriculum & Instruction, The University of Texas at Arlington, 2012)This paper introduces two families of distributions referred to as the symmetric κ and asymmetric κL-κR distributions. The families are based on transformations of standard logistic pseudo-random deviates. The primary ... -
On simulating univariate and multivariate Burr Type III and Type XII distributions
(Hikari Ltd,Department of Curriculum & Instruction, The University of Texas at Arlington, 2010)This paper describes a method for simulating univariate and multivariate Burr Type III and Type XII distributions with specified correlation matrices. The methodology is based on the derivation of the parametric forms of ... -
On the order statistics of standard normal based power method distributions
(Hindawi Publishing Corporation,Department of Curriculum & Instruction, The University of Texas at Arlington, 2012)This paper derives a procedure for determining the expectations of order statistics associated with the standard normal distribution Z and its powers of order three and five Z3 and Z5. The procedure is demonstrated for ...