Comparison between two new censored regression models extended from Burr-XII system with application

Document Type : Research Paper

Authors

1 College Education for Pure Sciences, University of Kirkuk, Iraq

2 College of Administration and Economics, University of Kirkuk, Iraq

Abstract

This article presents a comparison between two new censored regression models which are extended from some continuous distribution with the Burr-XII system. The two models are the Log-BXII Weibull model(LBXIIW)  and the Log-BXII Exponentiated Exponential model(LBXIIEE). The results of the comparison showed the LBXIIW model is best than the LBXIIEE model according to the values of the model selection criteria when the Creatine is a dependent variable in the model.    

Keywords

[1] M. Alizadeh,, M. Emadi and M. Doostparast, A new two-parameter lifetime distribution: properties, applications
and different method of estimations, Stat., Optim. Inf. Comput. 7(2) (2019) 291–310.
[2] D. Bernoulli and S. Blower, An attempt at a new analysis of the mortality caused by smallpox and of the advantages
of inoculation to prevent it, Rev. Med. Virol. 14(5)(2004) 275.
[3] G.M. Cordeiro, H.M. Yousof, T.G. Ramires and E.M. Orte ga, The Burr XII system of densities: properties,
regression model and applications, J. Stat. Comput. Simul. 88(3) (2018) 432–456.
[4] L.W. Falls, Estimation of parameters in compound Weibull distributions, Technometrics 12(2) (1970) 399–407.
[5] R.D. Gupta and D. Kundu, Exponentiated exponential family: an alternative to gamma and Weibull distributions.
Biom. J. 43(1) (2001) 117–130.
[6] M. Ibrahim, E.A. Ea and H.M. Yousof, A new distribution for modeling lifetime data with different methods of
estimation and censored regression modeling, Stat. Optim. Inf. Comput. 8(2) (2020) 610–630.
[7] J.F. Lawless, Statistical Models and Mmethods for Lifetime Data, John Wiley & Sons, 2011.
[8] P.M. Odell, K.M. Anderson and R.B. D’Agostino, Maximum likelihood estimation for interval-censored data using
a Weibull-based accelerated failure time model, Biometrics 48(3) (1992)951–959.
[9] P.F. Parana´ıba, E.M. Ortega, G.M. Cordeiro and R.R. Pescim, The beta Burr XII distribution with application
to lifetime data, Comput. Stat. Data Anal. 55(2) (2011) 1118–1136.
[10] H. Rinne, The Weibull distribution: a handbook, CRC press, 2008.
[11] M.A. Salih , Parameters Estimation For Pareto Type – II Distribution, PhD Thesis, College of Administration
and Economics, Al-Mustansiriya University, 2015.
[12] N.T. Thomopoulos, Statistical distributions. Applications and Parameter Estimates. Cham, Switzerland: Springer
International Publishing, 2017.
Volume 13, Issue 1
March 2022
Pages 3395-3403
  • Receive Date: 08 June 2021
  • Revise Date: 19 August 2021
  • Accept Date: 29 October 2021