On the Discrimination between the Inverse Gaussian and Lognormal Distributions

Both inverse Gaussian and lognormal distributions have been used among many well-known failure time distributions with positively skewed data. The problem of selecting between them is considered. The logarithm of maximum likelihood ratio has been used as a test for discriminating between these two d...

Full description

Bibliographic Details
Main Author: Zakaria Y. AL-Jammal
Format: Article
Language:Arabic
Published: College of Computer Science and Mathematics, University of Mosul 2008-06-01
Series:المجلة العراقية للعلوم الاحصائية
Online Access:https://stats.mosuljournals.com/article_31689_436bc309ed02e27cf6e28562e74d38ad.pdf
_version_ 1811226310802931712
author Zakaria Y. AL-Jammal
author_facet Zakaria Y. AL-Jammal
author_sort Zakaria Y. AL-Jammal
collection DOAJ
description Both inverse Gaussian and lognormal distributions have been used among many well-known failure time distributions with positively skewed data. The problem of selecting between them is considered. The logarithm of maximum likelihood ratio has been used as a test for discriminating between these two distributions. The test has been carried out on nine different real data sets and three simulated data sets. Keywords: Inverse Gaussian distribution, lognormal distribution, Ratio maximum likelihood, Discrimination.
first_indexed 2024-04-12T09:23:04Z
format Article
id doaj.art-c4b9446057f34609a77e75aba4dfc5eb
institution Directory Open Access Journal
issn 1680-855X
2664-2956
language Arabic
last_indexed 2024-04-12T09:23:04Z
publishDate 2008-06-01
publisher College of Computer Science and Mathematics, University of Mosul
record_format Article
series المجلة العراقية للعلوم الاحصائية
spelling doaj.art-c4b9446057f34609a77e75aba4dfc5eb2022-12-22T03:38:35ZaraCollege of Computer Science and Mathematics, University of Mosulالمجلة العراقية للعلوم الاحصائية1680-855X2664-29562008-06-0181275210.33899/iqjoss.2008.3168931689On the Discrimination between the Inverse Gaussian and Lognormal DistributionsZakaria Y. AL-JammalBoth inverse Gaussian and lognormal distributions have been used among many well-known failure time distributions with positively skewed data. The problem of selecting between them is considered. The logarithm of maximum likelihood ratio has been used as a test for discriminating between these two distributions. The test has been carried out on nine different real data sets and three simulated data sets. Keywords: Inverse Gaussian distribution, lognormal distribution, Ratio maximum likelihood, Discrimination.https://stats.mosuljournals.com/article_31689_436bc309ed02e27cf6e28562e74d38ad.pdf
spellingShingle Zakaria Y. AL-Jammal
On the Discrimination between the Inverse Gaussian and Lognormal Distributions
المجلة العراقية للعلوم الاحصائية
title On the Discrimination between the Inverse Gaussian and Lognormal Distributions
title_full On the Discrimination between the Inverse Gaussian and Lognormal Distributions
title_fullStr On the Discrimination between the Inverse Gaussian and Lognormal Distributions
title_full_unstemmed On the Discrimination between the Inverse Gaussian and Lognormal Distributions
title_short On the Discrimination between the Inverse Gaussian and Lognormal Distributions
title_sort on the discrimination between the inverse gaussian and lognormal distributions
url https://stats.mosuljournals.com/article_31689_436bc309ed02e27cf6e28562e74d38ad.pdf
work_keys_str_mv AT zakariayaljammal onthediscriminationbetweentheinversegaussianandlognormaldistributions