Marshall-Olkin Exponentiated Fréchet Distribution

Simple item page
dc.contributor.authorNiyoyunguruza, Aurise
dc.contributor.authorOdongo, Leo Odiwuor
dc.contributor.authorNyarige, Euna
dc.contributor.authorHabineza, Alexis
dc.contributor.authorMuse, Abdisalam Hassan
dc.date.accessioned2023-07-25T13:10:01Z
dc.date.available2023-07-25T13:10:01Z
dc.date.issued2023
dc.descriptionarticleen_US
dc.description.abstractIn this paper, a new distribution called Marshall-Olkin Exponentiated Fréchet distribution (MOEFr) is proposed. The goal is to increase the flexibility of the existing Exponentiated Fréchet distribution by including an extra shape parameter, resulting into a more flexible distribution that can provide a better fit to various data sets than the baseline distribution. A generator method introduced by Marshall and Olkin is used to develop the new distribution. Some properties of the new distribution such as hazard rate function, survival function, reversed hazard rate function, cumulative hazard function, odds function, quantile function, moments and order statistics are derived. The maximum likelihood estimation is used to estimate the model parameters. Monte Carlo simulation is used to evaluate the behavior of the estimators through the average bias and root mean squared error. The new distribution is fitted and compared with some existing distributions such as the Exponentiated Fréchet (EFr), Marshall-Olkin Fréchet (MOFr), Beta Exponential Fréchet (BEFr), Beta Fréchet (BFr) and Fréchet (Fr) distributions, on three data sets, namely Bladder cancer, Carbone and Wheaton River data sets. Based on the goodness-of-fit statistics and information criteria values, it is demonstrated that the new distribution provides a better fit for the three data sets than the other distributions considered in the study.en_US
dc.identifier.citationNiyoyunguruza, A., Odongo, L.O., Nyarige, E., Habineza, A. and Muse, A.H. (2023) Marshall-Olkin Exponentiated Fréchet Distribution. Journal of Data Analysis and Information Processing, 11, 262-292. https://doi.org/10.4236/jdaip.2023.113014en_US
dc.identifier.urihttps://doi.org/10.4236/jdaip.2023.113014
dc.identifier.urihttp://ir-library.ku.ac.ke/handle/123456789/26404
dc.language.isoenen_US
dc.publisherScientific Research Publishing Incen_US
dc.subjectExponentiated Fréchet Distributionen_US
dc.subjectMaximum Likelihood Estimationen_US
dc.subjectMarshall-Olkin Familyen_US
dc.titleMarshall-Olkin Exponentiated Fréchet Distributionen_US
dc.typeArticleen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Marshall-Olkin Exponentiated Fréchet.pdf
Size:
6.22 MB
Format:
Adobe Portable Document Format
Description:
Full text Article
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
RP-Department of Mathematics