Journal ArticleDOI
A new family of generalized distributions
Reads0
Chats0
TLDR
In this paper, a new family of generalized distributions for double-bounded random processes with hydrological applications is described, including Kw-normal, Kw-Weibull and Kw-Gamma distributions.Abstract:
Kumaraswamy [Generalized probability density-function for double-bounded random-processes, J. Hydrol. 462 (1980), pp. 79–88] introduced a distribution for double-bounded random processes with hydrological applications. For the first time, based on this distribution, we describe a new family of generalized distributions (denoted with the prefix ‘Kw’) to extend the normal, Weibull, gamma, Gumbel, inverse Gaussian distributions, among several well-known distributions. Some special distributions in the new family such as the Kw-normal, Kw-Weibull, Kw-gamma, Kw-Gumbel and Kw-inverse Gaussian distribution are discussed. We express the ordinary moments of any Kw generalized distribution as linear functions of probability weighted moments (PWMs) of the parent distribution. We also obtain the ordinary moments of order statistics as functions of PWMs of the baseline distribution. We use the method of maximum likelihood to fit the distributions in the new class and illustrate the potentiality of the new model with a...read more
Citations
More filters
Journal ArticleDOI
The Kumaraswamy Exponentiated Pareto Distribution
TL;DR: For the first time, the called Kumaraswamy Exponentiated Pareto distribution, is introduced and some structural properties of the proposed distribution are studied including explicit expressions for the moments and generating function.
Journal ArticleDOI
The Generalized Transmuted Poisson-G Family of Distributions: Theory, Characterizations and Applications
Haitham M. Yousof,Ahmed Z. Afify,Morad Alizadeh,G. G. Hamedani,S. M. A. Jahanshahi,Indranil Ghosh +5 more
TL;DR: In this article, the generalized poisson family (GPF) is introduced, which extends the quadratic rank transmutation map and provides some special models for the new family.
Journal ArticleDOI
The Extended Alpha Power Transformed Family of Distributions: Properties and Applications
TL;DR: In this article, a new family of lifetime distributions by adding an additional parameter to the existing distributions is introduced, which is called, the extended alpha power transformed family of distributions, which can be used to model data with increasing, decreasing or bathtub shaped hazard rates.
Journal ArticleDOI
A new lifetime model with variable shapes for the hazard rate
TL;DR: In this article, the authors define and study a new generalization of the complementary Weibull geometric distribution introduced by Tojeiro et al. (J. Stat. Comput. Simul. 84 (2014) 1345-1362).
Journal ArticleDOI
The Topp Leone odd Lindley-G family of distributions : Properties and applications
TL;DR: The Topp Leone odd Lindley-G family as mentioned in this paper is a class of continuous distributions with the same mathematical properties as the Topp-Leone-Owles family.
References
More filters
Journal ArticleDOI
Statistical Theory of Reliability and Life Testing Probability Models
Book
Statistical Theory of Reliability and Life Testing: Probability Models
Richard E. Barlow,Frank Proschan +1 more
TL;DR: A number of new classes of life distributions arising naturally in reliability models are treated systematically and each provides a realistic probabilistic description of a physical property occurring in the reliability context, thus permitting more realistic modeling of commonly occurring reliability situations.
Journal ArticleDOI
L-Moments: Analysis and Estimation of Distributions Using Linear Combinations of Order Statistics
TL;DR: The authors define L-moments as the expectations of certain linear combinations of order statistics, which can be defined for any random variable whose mean exists and form the basis of a general theory which covers the summarization and description of theoretical probability distributions.
Journal Article
A class of distributions which includes the normal ones
TL;DR: In this paper, a nouvelle classe de fonctions de densite dependant du parametre de forme λ, telles que λ=0 corresponde a la densite normale standard.
Journal ArticleDOI
Generalized additive models for location, scale and shape
TL;DR: The generalized additive model for location, scale and shape (GAMLSS) as mentioned in this paper is a general class of statistical models for a univariate response variable, which assumes independent observations of the response variable y given the parameters, the explanatory variables and the values of the random effects.
Related Papers (5)
A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families
Albert W. Marshall,Ingram Olkin +1 more