Maximum Likelihood Estimation for Length biased Burr- XII Distribution with Censored Sample


  • Abd-Elfattah A. M Department of MathematicalStatistics, Institute of Statistical Studies & Research, Cairo University, Egypt.
  • Mahdy .M Department of Statistics, Mathematics and Insurance,Benha University, Egypt.
  • Ismail .G Ministry of Insurance and Pensions


Length Biased Burr XII Distribution, Maximum Likelihood Estimation, Censored Type- I, Censored Type- II


In this paper, defined by [1],the maximum likelihood estimation for the parameters of the LBB-XII distribution are studied.Also, different types of censoring, such as, type I, type II. A simulation study is perform to evaluate the maximum likelihood estimates.


. A.M.Abd- Elfattah, M. Mahdy, and G. Ismail, “ Length biased burr-XII Distribution: properties and application,” International Journal of Science, Basic and applied Research,vol.54, no.5,.2020

. A.M. Abd- Elfattah and A.A. AbdElghaly, “ Expected Experiment Times for Burr Type XII Distribution Under Progressive Censoring With Random Removal,” Institute of Statistical Studies & Research, Cairo University ,. 2008

.A. Asgharzadeh and R. Valiollahi, “Estimation based on progressively censored data from the Burr model,” International Mathematical Forum, vol.3, no.43, pp. 2113 - 2121,. 2008

. E.M. Hashimoto, G.O. Silva, E.M.M. Ortega. et al, “Log Burr XII Gamma–Weibull Regression Model with Random Effects and Censored Data,”Journal of Statistical Theory and Practice, pp.3- 27 ,. 2019

. G. Iliopoulos, and N. Balakrishnan, “ Exact likelihood inference for Laplace distribution based on Type-II censored samples,” Journal of Statistical Planning and Inference, vol.141,pp. 1224-1239,. 2011

. H. A. Bayoud, “ Bayesian Analysis of Type I Censored Data from Two Parameter Exponential Distribution,” Proceedings of the World Congress on Engineering, vol.1, pp.3-8 ,. 2012

. H. Panahi, “ Estimation for the parameters of the Burr Type XII distribution under doubly censored sample with application to microfluidics data,”Int J SystAssurEngManag ,vol.10, pp.510-518,. 2019

. H. Panahi, “ Estimation of the Weibull distribution based on type-II censored samples,” Applied Mathematical Sciences,vol.5, no.52,pp.2549 - 2558,. 2011

. I.Makhdoom and P. Nasiri, “ Maximum Likelihood Estimation of Exponential Distribution Under Type-II Censoring from Imprecise Data,”Journal of Fundamental and Applied Sciences,vol.8, no.2, pp.697-714 ,. 2016

. J.Seo, Y.Kim and S.B. Kang,“Estimation on the Generalized Half Logistic Distribution under Type-II Hybrid Censoring,” Communications for Statistical Applications and Methods,vol.20, no.1, pp.63-75,. 2013

.K. Miura,“An introduction to maximum likelihood estimation and information geometry,”Interdisciplinary Information Sciences, vol.17, no.3, pp.155-174,. 2011.

. M.R. Mahmoud and R.M. Mandouh,“ Parameter of beta-Weibull distribution under type II censored samples,” Applied Mathematical Sciences, vol.6, no.48, pp. 2369-2384 ,. 2012

. M.E, Ghitany and S, Al-Awadhi,“ Maximum likelihood estimation of Burr XII distribution parameters under random censoring,” Journal of Applied Statistics, vol.29, no.7,pp.955-96,. 2002

. N. Kumara, and R. Pandey,“Bayesian parameter estimation of beta log Weibull distribution under type-II censoring,” Journal of Communication in statistics,.2019

. P. L.Ramos,F. Louzada and V.G. Cancho,“ Maximum likelihood estimation for the weight lindley distribution parameters under different types of censoring,” 2015

.S.H.Chan,“ Properties of maximum likelihood estimation,” Estimation Theory, Spring,. 2015




How to Cite

A. M, A.-E. ., .M, M., & .G, I. (2021). Maximum Likelihood Estimation for Length biased Burr- XII Distribution with Censored Sample . International Journal of Sciences: Basic and Applied Research (IJSBAR), 56(1), 203–221. Retrieved from