Different Estimation Procedures for the Parameters of the Extended Exponential Geometric Distribution for Medical Data
Joint Authors
Ramos, Pedro L.
Perdoná, Gleici
Louzada, Francisco
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-08-04
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We have considered different estimation procedures for the unknown parameters of the extended exponential geometric distribution.
We introduce different types of estimators such as the maximum likelihood, method of moments, modified moments, L-moments, ordinary and weighted least squares, percentile, maximum product of spacings, and minimum distance estimators.
The different estimators are compared by using extensive numerical simulations.
We discovered that the maximum product of spacings estimator has the smallest mean square errors and mean relative estimates, nearest to one, for both parameters, proving to be the most efficient method compared to other methods.
Combining these results with the good properties of the method such as consistency, asymptotic efficiency, normality, and invariance we conclude that the maximum product of spacings estimator is the best one for estimating the parameters of the extended exponential geometric distribution in comparison with its competitors.
For the sake of illustration, we apply our proposed methodology in two important data sets, demonstrating that the EEG distribution is a simple alternative to be used for lifetime data.
American Psychological Association (APA)
Louzada, Francisco& Ramos, Pedro L.& Perdoná, Gleici. 2016. Different Estimation Procedures for the Parameters of the Extended Exponential Geometric Distribution for Medical Data. Computational and Mathematical Methods in Medicine،Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1100217
Modern Language Association (MLA)
Louzada, Francisco…[et al.]. Different Estimation Procedures for the Parameters of the Extended Exponential Geometric Distribution for Medical Data. Computational and Mathematical Methods in Medicine No. 2016 (2016), pp.1-12.
https://search.emarefa.net/detail/BIM-1100217
American Medical Association (AMA)
Louzada, Francisco& Ramos, Pedro L.& Perdoná, Gleici. Different Estimation Procedures for the Parameters of the Extended Exponential Geometric Distribution for Medical Data. Computational and Mathematical Methods in Medicine. 2016. Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1100217
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1100217