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An Extended Mixture Inverse Gaussian Distribution [PDF]

open access: yesSuan Sunandha Rajabhat University Journal of Science and Technology, 2016
This paper proposes an extend mixture inverse Gaussian (EMIG) distribution which is mixed between the inverse Gaussian distribution and the length biased inverse Gaussian (LBIG) distribution. The BirnbaumSaunders (BS) distribution and LBIG distribution
Chookait Pudprommarat
doaj   +3 more sources

Representative Points of the Inverse Gaussian Distribution and Their Applications [PDF]

open access: yesEntropy
The inverse Gaussian (IG) distribution, as an important class of skewed continuous distributions, is widely applied in fields such as lifetime testing, financial modeling, and volatility analysis.
Wen-Wen Hu, Kai-Tai Fang, Xiao-Ling Peng
doaj   +2 more sources

Bivariate Inverse Gaussian Distribution [PDF]

open access: yesThe Egyptian Statistical Journal, 1980
A bivariate inverse Gaussian (IG) density function is constructed and its characteristic function obtained. Relations of the bivariate IG distribution to the normal and x2 distributions are established.
E.K. Al-Husaini, N.S. Abdel-Hakim
doaj   +2 more sources

Monte Carlo comparison of goodness-of-fit tests for the Inverse Gaussian distribution based on empirical distribution function [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
The Inverse Gaussian (IG) distribution is widely used to model positively skewed data. In this article, we examine goodness of fit tests for the Inverse Gaussian distribution based on the empirical distribution function.
Hadi Alizadeh Noughabi   +1 more
doaj   +1 more source

Testing Inverse Gaussian Versus Log Normal [PDF]

open access: yesThe Egyptian Statistical Journal, 1991
The inverse Gaussian distribution has been proposed as a model for distribution of life times. It is considered as an alternative to other observed distributions in particular to the lognormal.
S.A. Shaban
doaj   +1 more source

Discrimination between Some Over Dispersed Count Distributions

open access: yesASM Science Journal, 2021
The Poisson inverse Gaussian and generalized Poisson distributions are widely used in modelling overdispersed count data which are commonly found in healthcare, insurance, engineering, econometric and ecology.
Yook-Ngor Phang   +2 more
doaj   +1 more source

Generalized Sichel Distribution and Associated Inference [PDF]

open access: yesJournal of Statistical Theory and Applications (JSTA), 2017
In this paper, we propose a generalized form of Sichel distribution which is obtained by mixing the Poisson distribution with the extended generalized inverse Gaussian distribution.
Yeh Ching Low   +2 more
doaj   +1 more source

On Testing the Adequacy of the Inverse Gaussian Distribution

open access: yesMathematics, 2022
We propose a new class of goodness-of-fit tests for the inverse Gaussian distribution based on a characterization of the cumulative distribution function (CDF). The new tests are of weighted L2-type depending on a tuning parameter.
James S. Allison   +3 more
doaj   +1 more source

On Free Generalized Inverse Gaussian Distributions [PDF]

open access: yesComplex Analysis and Operator Theory, 2018
We study here properties of free Generalized Inverse Gaussian distributions (fGIG) in free probability. We show that in many cases the fGIG shares similar properties with the classical GIG distribution. In particular we prove that fGIG is freely infinitely divisible, free regular and unimodal, and moreover we determine which distributions in this class
Hasebe, Takahiro, Szpojankowski, Kamil
openaire   +4 more sources

Improved Particle Filter for Non-Gaussian Forecasting-aided State Estimation

open access: yesJournal of Modern Power Systems and Clean Energy, 2023
Gaussian assumptions of non-Gaussian noises hinder the improvement of state estimation accuracy. In this paper, an asymmetric generalized Gaussian distribution (AGGD), as a unified representation of various unimodal distributions, is applied to formulate
Lyuzerui Yuan   +3 more
doaj   +1 more source

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