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
New zero-inflated regression models with a variant of censoring
Yasin Altinisik,Emel Çankaya +1 more
TL;DR: In this article , a zero-inflated Poisson-Ailamujia (ZIPA) model is proposed to model overdispersed count data generated by various disiplines.
Journal ArticleDOI
New bivariate family of distributions based on any copula function: Statistical properties.
TL;DR: In this paper , a new bivariate Topp-Leone-Exponential-exponential (BFGMTLEE) distribution based on Farlie-Gumbel-Morgenstern (FGM) copula is established.
Journal ArticleDOI
A New Lifetime Model, Stochastic Orders and Kidney Infection Regression model
TL;DR: In this paper, the authors introduce a method to generate a new class of lifetime models based on the bounded distributions such that the defined models are exclusively a special case of the new class.
Journal ArticleDOI
Mixed Topp-Leone-Kumaraswamy distribution
TL;DR: In this paper, a new generalization of the Topp-Leone distribution with a unit interval is defined and studied, namely Mixed ToppLeone-Kumaraswamy distribution.
Classical and Bayesian Inference of Marshall-Olkin Extended Gompertz Makeham Model with Modeling of Physics Data
R. A. Mohamed,Abdulhakim A. Al-Babtain,Ibrahim Elbatal,Ehab M. Almetwally,Hisham Mohamed Almongy +4 more
TL;DR: In this paper , the authors presented the Marshall-Olkin extended Gompertz Makeham (MOEGM) lifetime distribution, which has four parameters, and examined the prior distributions, which allow for prior dependence among the components of the parameter vector, as well as the Bayesian estimators derived with respect to the squared error loss function.
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