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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 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 ...
Simulating non-normal distributions with specified L-moments and L-correlations
(Blackwell Publishing,, 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 ...
A logistic L-moment based analog for the Tukey g-h, g, h, and h-h system of distributions
(Hindawi Publishing Corporation,, 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 ...