Now showing items 1-12 of 12

    • Characterizing Tukey h and h-h distributions through L-moments and the L-correlation 

      Headrick, Todd C.; Pant, Mohan (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 

      Headrick, Todd C.; Pant, Mohan (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 doubling technique for the power method transformations 

      Pant, Mohan; Headrick, Todd C. (Hikari Ltd,Department of Curriculum & Instruction, The University of Texas at Arlington, 2012)
      Power method polynomials are used for simulating non-normal distributions with specified product moments or L-moments. The power method is capable of producing distributions with extreme values of skew (L-skew) and kurtosis ...
    • A L-moment based analog for the Schmeiser-Deutsch class of distributions 

      Headrick, Todd C.; Pant, Mohan (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 ...
    • An L-Moment Based Characterization of the Family of Dagum Distributions 

      Pant, Mohan; Headrick, Todd C. (Scienpress Ltd.Department of Curriculum and Instruction, The University of Texas at Arlington, 2013)
      This paper introduces a method for simulating univariate and multivariate Dagum distributions through the method of 𝐿-moments and 𝐿-correlations. A method is developed for characterizing non-normal Dagum distributions ...
    • A logistic L-moment based analog for the Tukey g-h, g, h, and h-h system of distributions 

      Headrick, Todd C.; Pant, Mohan (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 Burr Type III and Type XII Distributions through 𝐿-Moments and 𝐿-Correlations 

      Pant, Mohan; Headrick, Todd C. (Hindawi Publishing CorporationDepartment of Curriculum and Instruction, The University of Texas at Arlington, 2013)
      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 ...
    • A method for simulating non-normal distributions with specified L-skew, L-kurtosis, and L-correlation 

      Headrick, Todd C.; Pant, Mohan (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 

      Headrick, Todd C.; Pant, Mohan; Sheng, Yanyan (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 

      Headrick, Todd C.; Pant, Mohan (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 ...
    • Simulating Burr Type VII Distributions through the Method of 𝐿-moments and 𝐿-correlations 

      Pant, Mohan; Headrick, Todd C. (Scienpress Ltd.Department of Curriculum & Instruction, The University of Texas at Arlington, 2014)
      Burr Type VII, a one-parameter non-normal distribution, is among the less studied distributions, especially, in the contexts of statistical modeling and simulation studies. The main purpose of this study is to introduce ...
    • Simulating non-normal distributions with specified L-moments and L-correlations 

      Headrick, Todd C.; Pant, Mohan (Blackwell Publishing,Department of Curriculum & Instruction, The University of Texas at Arlington, 2012)
      This paper derives a procedure for simulating continuous non-normal distributions with specified L-moments and L-correlations in the context of power method polynomials of order three. It is demonstrated that the proposed ...