On the Extension of the Burr XII Distribution: Applications and Regression
OCLOO, S., BREW, L., NASIRU, S., ODOI, B. (2023). On the Extension of the Burr XII Distribution: Applications and Regression. EKB Journal Management System, 2(1), 1-30. doi: 10.21608/cjmss.2023.181739.1000
SELASI KWAKU OCLOO; LEWIS BREW; SULEMAN NASIRU; BENJAMIN ODOI. "On the Extension of the Burr XII Distribution: Applications and Regression". EKB Journal Management System, 2, 1, 2023, 1-30. doi: 10.21608/cjmss.2023.181739.1000
OCLOO, S., BREW, L., NASIRU, S., ODOI, B. (2023). 'On the Extension of the Burr XII Distribution: Applications and Regression', EKB Journal Management System, 2(1), pp. 1-30. doi: 10.21608/cjmss.2023.181739.1000
OCLOO, S., BREW, L., NASIRU, S., ODOI, B. On the Extension of the Burr XII Distribution: Applications and Regression. EKB Journal Management System, 2023; 2(1): 1-30. doi: 10.21608/cjmss.2023.181739.1000

On the Extension of the Burr XII Distribution: Applications and Regression

Computational Journal of Mathematical and Statistical Sciences
Volume 2, Issue 1 - Serial Number 2, April 2023, Page 1-30  XML PDF (668.37 K)
Document Type: Original Article
DOI: 10.21608/cjmss.2023.181739.1000
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Authors
SELASI KWAKU OCLOO email orcid 1; LEWIS BREW1; SULEMAN NASIRUorcid 2; BENJAMIN ODOI1
1University of Mines and Technology, Tarkwa.
2Department of Statistics, C.K. Tedam University of Technology and Applied Sciences, Ghana
Abstract
In this paper, we introduce a new four-parameter mixture distribution called the Harmonic Mixture Burr XII distribution. The proposed model can be used to model data which exhibit bimodal shapes or are heavy-tailed. Specific  properties like non-central and incomplete moments, quantile function, entropy, mean and median deviation, mean residual life, moment generating function, and stress-strength reliability are derived. Maximum likelihood estimation, ordinary least squares estimation, weighted least squares estimation, Cram'{e}r-von Mises estimation, and Anderson-Darling estimation methods were used to estimate the parameters of the distribution. Simulation studies was performed to assess the estimators and the maximum likelihood estimation was adjudged the best estimator.  Using three sets of lifetime data, the empirical importance of the new distribution was determined. When compared to nine (9) extensions of the Burr XII distribution, it was clear that the proposed distribution fit the data better. Using the proposed model, a log-linear regression model called the log-harmonic mixture Burr XII is proposed. 
Keywords
Burr XII distribution; heavy-tailed distribution; simulation; applications; regression
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