Journal ArticleDOI
A generalization for two-sided power distributions and adjusted method of moments
A. R. Soltani,H. Homei +1 more
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In this paper, a new class of generalized two-sided power (TSP) distributions, where their density functions are expressed in terms of the Gauss hypergeometric functions, is introduced and studied.Abstract:
A new rich class of generalized two-sided power (TSP) distributions, where their density functions are expressed in terms of the Gauss hypergeometric functions, is introduced and studied. In this class, the symmetric distributions are supported by finite intervals and have normal shape densities. Our study on TSP distributions also leads us to a new class of discrete distributions on {0, 1, …, k}. In addition, a new numerical method for parameter estimation using moments is given.read more
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Two-Sided Generalized Exponential Distribution
Mustafa Ç. Korkmaz,Ali I. Genç +1 more
TL;DR: In this article, a generalization of the exponential distribution by making log transformation of the standard two-sided power distribution was proposed, which is a mixture of a truncated exponential distribution and truncated generalized exponential distribution introduced by Gupta and Kundu.
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A Lifetime Distribution Based on a Transformation of a Two-Sided Power Variate
Mustafa Ç. Korkmaz,Ali I. Genç +1 more
TL;DR: A new generalization of Weibull distribution is introduced by making use of a transformation of the standard twosided power distributed random variable and it is shown that this newly defined distribution is in fact a mixture of the truncated forms of WeIBull and the exponentiated Weib Hull distributions.
Journal ArticleDOI
A novel extension of randomly weighted averages
TL;DR: In this article, the Schwartz distribution theory was employed to find the distributions of the random variable in question; also, some properties of these distributions were studied, such as the properties of the distribution of the distributions.
Journal ArticleDOI
A novel method to generating two-sided class of probability distributions
TL;DR: In this article, the authors define a new two-sided class F of distributions and a generalized class G of distributions by compounding this class with a baseline distribution G. The new model is called the general 2-sided F G class.
Journal ArticleDOI
A new generalisation of multivariate Wigner distribution of kind-2
TL;DR: In this paper, a new generalization of multivariate Wigner distribution of kind-2 from the univariate case was proposed, and the generating functions of this distribution were derived in terms of Bessel function.
References
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Journal ArticleDOI
The Standard Two-Sided Power Distribution and its Properties: With Applications in Financial Engineering
J. René van Dorp,Samuel Kotz +1 more
TL;DR: In this article, the authors discuss a family of distributions which would seem not to receive proper attention in the literature, including the triangular distribution, the standard power function distribution, and the uniform distribution.
Journal ArticleDOI
Generalized trapezoidal distributions
J. René van Dorp,Samuel Kotz +1 more
TL;DR: In this article, a class of continuous distributions of an arbitrary form defined on a compact (bounded) set by concatenating in a continuous manner three probability density functions with bounded support using a modified mixture technique are presented.
Journal ArticleDOI
Generalizations of Two Sided Power Distributions and Their Convolution
J. René van Dorp,Samuel Kotz +1 more
TL;DR: A general form of a family of bounded two-sided continuous distributions is introduced in this article, and the uniform and triangular distributions are possibly the simplest and best known members of this family.
Journal ArticleDOI
The two-sided power distribution for the treatment of the uncertainty in PERT
TL;DR: The aim of this paper is to include the Two-Sided Power (TSP) distribution in the PERT methodology making use of the advantages that this four-parameter distribution offers and comparing the beta and TSP distribution based on their PERT means and variances indicating better results for the second.
Journal ArticleDOI
A polynomial model for bivariate extreme value distributions
TL;DR: The authors introduced a new model based on polynomial terms that overcomes most weaknesses of the known models and showed the simplicity and flexibility of the new model by derivation of various distributional properties and application to real data.
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