The exponentiated Gumbel type-2 distribution: properties and application
type: Item
instance of: scholarly article
title: The exponentiated Gumbel type-2 distribution: properties and application
zbMATH Open document ID: 1476.60028
DOI: 10.1155/2016/5898356
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2018-05-25T00:00:00Z
review text: Summary: We introduce a generalized version of the standard Gumble type-2 distribution. The new lifetime distribution is called the Exponentiated Gumbel (EG) type-2 distribution. The EG type-2 distribution has three nested submodels, namely, the Gumbel type-2 distribution, the Exponentiated Fréchet (EF) distribution, and the Fréchet distribution. Some statistical and reliability properties of the new distribution were given and the method of maximum likelihood estimates was proposed for estimating the model parameters. The usefulness and flexibility of the Exponentiated Gumbel (EG) type-2 distribution were illustrated with a real lifetime data set. Results based on the log-likelihood and information statistics values showed that the EG type-2 distribution provides a better fit to the data than the other competing distributions. Also, the consistency of the parameters of the new distribution was demonstrated through a simulation study. The EG type-2 distribution is therefore recommended for effective modelling of lifetime data.
Mathematics Subject Classification ID: 60E05
Mathematics Subject Classification ID: 62E10
Mathematics Subject Classification ID: 62E15
Mathematics Subject Classification ID: 62F10
zbMATH DE Number: 6873317
Wikidata QID: Q59124616
author: I. E. Okorie
author: Anthony Chukwudi Akpanta
author: Johnson Ohakwe
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/5898356
OpenAlex ID: W2503932823
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describes a project that uses: Digital Library of Mathematical Functions
description: scientific article; zbMATH DE number 6873317