A Novel Parsimonious Gamma Mixture with Applications to Reliability Data

Simple item page
dc.contributor.author*Aderoju, S.A.*, Adesina, B., Olasupo, A., Sanni, B.I., Kalu, U., Olaboye, D., and Yussuf, T.A.
dc.date.accessioned2026-05-09T10:18:54Z
dc.date.available2026-05-09T10:18:54Z
dc.date.issued2026-01-30
dc.description.abstractLifetime distributions are salient statistical tools to model the different characteristics of lifetime datasets. The statistical literature contains very modern distributions to analyze these kinds of datasets. Nonetheless, these distributions have many parameters, which cause a problem in the estimation step. To offer fresh possibilities in modeling these kinds of datasets, we propose a Parsimonious Gamma Mixture (PGM) distribution using a finite mixture of Gamma distributions with parameter-dependent mixing weights. The proposed distribution has only one parameter and simple mathematical forms. The mathematical properties of the distributions, including moments, reliability functions and order statistics, are studied in detail. The unknown model parameter is estimated by using the maximum likelihood. The extensive simulation study is used to study the performance of parameter estimation. To convince the readers in favour of the proposed distribution, three real datasets from engineering and materials science are analyzed and compared with competitive models. Empirical findings show that the proposed one-parameter lifetime distribution produces better results than the other similar existing distributions. Its consistent achievement of the lowest AIC and BIC values across all datasets confirms its enhanced ability to capture diverse data patterns with remarkable parameter parsimony, making it a highly effective tool for modelling reliability and survival data.
dc.identifier.citationAderoju, S.A., Adesina, B., Olasupo, A., Sanni, B.I., Kalu, U., Olaboye, D., and Yussuf, T.A. (2026). A Novel Parsimonious gamma Mixture with Applications to Reliability Data. Journal of Basics and Applied Sciences Research, 4(1), 31-39: DOI:https://dx.doi.org/10.4314/jobasr.v4i1.4
dc.identifier.urihttps://kwasuspace.kwasu.edu.ng/handle/123456789/6924
dc.language.isoen
dc.publisherJournal of Basics and Applied Sciences Research
dc.relation.ispartofseries4 (1)
dc.titleA Novel Parsimonious Gamma Mixture with Applications to Reliability Data
dc.typeArticle
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
A Novel Parsimonious Gamma Mixture with Applications to Reliability Data (2).pdf
Size:
685.67 KB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed to upon submission
Description:
Download
Collections
Scholarly Publication