The Maxwell-Burr X Distribution: Its Properties and Applications to the COVID-19 Mortality Rate in Thailand
Issued Date
2023-04-01
Resource Type
ISSN
16859057
eISSN
23510676
Scopus ID
2-s2.0-85153179096
Journal Title
Thailand Statistician
Volume
21
Issue
2
Start Page
421
End Page
434
Rights Holder(s)
SCOPUS
Bibliographic Citation
Thailand Statistician Vol.21 No.2 (2023) , 421-434
Suggested Citation
Koobubpha K. The Maxwell-Burr X Distribution: Its Properties and Applications to the COVID-19 Mortality Rate in Thailand. Thailand Statistician Vol.21 No.2 (2023) , 421-434. 434. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/81396
Title
The Maxwell-Burr X Distribution: Its Properties and Applications to the COVID-19 Mortality Rate in Thailand
Author(s)
Author's Affiliation
Other Contributor(s)
Abstract
A novel distribution, the Maxwell-Burr X (M-BX) distribution, was proposed. This distribution was an extension of the Burr X distribution by applying the Maxwell generalized family of distributions. The cumulative distribution function, probability density function, survival function, hazard function and quantile function of the M-BX distribution were defined. Some important properties and the parameters of its estimates were discussed. A simulation study was conducted from the basis of quantile function to ascertain the performance of maximum likelihood estimators. The M-BX distribution were also applied to model two lifetime data sets relating to the COVID-19 mortality rate in Thailand during different periods to express the flexibility of the distribution against other competing distributions. According to information criteria, AIC, CAIC, BIC, and HQIC, the M-BX distribution gave the best fit among all chosen distributions.