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A doubling method for the generalized lambda distributions
(Hindawi Publishing Corporation,, 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, ...
Characterizing Tukey h and h-h distributions through L-moments and the L-correlation
(Hindawi Publishing Corporation,, 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 L-moment based analog for the Schmeiser-Deutsch class of distributions
(Hindawi Publishing Corporation,, 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 ...
On the order statistics of standard normal based power method distributions
(Hindawi Publishing Corporation,, 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 ...
A Method for Simulating Burr Type III and Type XII Distributions through 𝐿-Moments and 𝐿-Correlations
(Hindawi Publishing Corporation, 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 ...
An L-Moment Based Characterization of the Family of Dagum Distributions
(Scienpress Ltd., 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 ...
Simulating Uniform- and Triangular- Based Double Power Method Distributions
(Scienpress Ltd, 2017)
Power method (PM) polynomials have been used for simulating non-normal
distributions in a variety of settings such as toxicology research, price risk,
business-cycle features, microarray analysis, computer adaptive ...
A characterization of the Burr Type III and Type XII distributions through the method of percentiles and the Spearman correlation
(Taylor & Francis, 2015)
A characterization of Burr Type III and Type XII distributions based on
the method of percentiles (MOP) is introduced and contrasted with the
method of (conventional) moments (MOM) in the context of estimation
and fitting ...
A doubling technique for the power method transformations
(Hikari Ltd,, 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 method for simulating non-normal distributions with specified L-skew, L-kurtosis, and L-correlation
(Hindawi Publishing Corporation,, 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 ...