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Using Maximum Likelihood Ratio Test to Discriminate Between the Inverse Gaussian and Gamma Distributions

Zakariya Y. Algamal
- Vol. 1, Iss: 1, pp 27
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TLDR
The authors used the logarithm of maximum likelihood ratio (MLR) as a test for discriminating between inverse Gaussian and gamma distributions for failure time distributions with positively skewed data.
Abstract
One of the problems that appear in reliability and survival analysis is how we choose the best distribution that fitted the data. Sometimes we see that the handle data have two fitted distributions. Both inverse Gaussian and gamma distributions have been used among many well-known failure time distributions with positively skewed data. The problem of selecting between them is considered. We used the logarithm of maximum likelihood ratio as a test for discriminating between these two distributions. The test has been carried out on six different data sets.

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Shrinkage estimators for gamma regression model

TL;DR: In this paper, a gamma ridge regression model (GRRM) has been proposed to reduce the effects of multicollinearity on the variance of maximum likelihood estimator of the gamma regression coefficients.
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Classification of gene expression autism data based on adaptive penalized logistic regression

TL;DR: Experimental results show that the proposed adaptive penalized logistic regression significantly outperforms two competitor methods in terms of classification accuracy, G-mean, and area under the curve, and can be useful for other cancer classification using DNA gene expression data in the real clinical practice.
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Discriminating between the Lognormal and Weibull Distributions under Progressive Censoring

TL;DR: In this article, the ratio of maximized likelihood and Minimized Kullback-Leibler Divergence methods are discussed for discrimination between log-normal and Weibull distributions.
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Bayes Estimation of Topp-Leone Distribution Under Symmetric Entropy Loss Function Based on Lower Record Values

TL;DR: In this paper, the estimation of parameter of Topp-Leone distribution based on lower record values is studied, where the minimum variance unbiased estimator and maximum likelihood estimator are derived under symmetric loss function and further the empirical Bayes estimators are also obtained based on marginal probability density of record sample and the maximum likelihood method.
Journal ArticleDOI

Prediction of blood lead level in maternal and fetal us-ing generalized linear model

TL;DR: The aim of this study is to encourage and initiate the application of GLMs to predict the maternal and fetal blood-lead level, and the inverse Gaussian distribution with inverse quadratic link function is considered.
References
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Book

Continuous univariate distributions

TL;DR: Continuous Distributions (General) Normal Distributions Lognormal Distributions Inverse Gaussian (Wald) Distributions Cauchy Distribution Gamma Distributions Chi-Square Distributions Including Chi and Rayleigh Exponential Distributions Pareto Distributions Weibull Distributions Abbreviations Indexes
Book

Statistical Models and Methods for Lifetime Data

TL;DR: Inference procedures for Log-Location-Scale Distributions as discussed by the authors have been used for estimating likelihood and estimating function methods. But they have not yet been applied to the estimation of likelihood.
Journal ArticleDOI

Statistical Models and Methods for Lifetime Data

Gordon Johnston
- 01 Aug 2003 - 
TL;DR: This book describes and illustrates how to compute a simple “naive” variance estimate and conŽ dence intervals that would be correct under the assumption of an underlying nonhomogeneous Poisson process model.
Journal ArticleDOI

The inverse gaussian distribution: theory, methodology, and applications

TL;DR: Inverse Gaussian distributions have been used for life testing and reliability as mentioned in this paper, and they have been applied in a variety of applications, such as life testing, reliability, and life assurance.
Related Papers (5)
Trending Questions (1)
Can the likelihood ratio test be used to test the equivalence of two survival distributions?

The provided paper does not discuss the use of the likelihood ratio test to test the equivalence of two survival distributions.