Abstract
Lomax distribution is an important lifetime distribution. The process of obtaining estimates
of parameters for di_erent lifetime distributions under various schemes still remains an area
of interest. In Lomax distribution, parameter estimates have been obtained using ordinary
procedures like Newton Raphson when the test units follows a progressive Type-II hybrid
censoring scheme whereby within most cases the obtained values do not converge easily to the
true value. The MLEs are observed to be generally di_cult to obtain in a closed format. As a
result, we recommend to employ EM algorithm procedures in order to attain the MLEs of the
parameters of Lomax distribution build onto progressive Type-II hybrid which amalgamates
Type-II and hybrid censoring schemes. Performance of these obtained MLEs is compared
with those obtained using NR methods and EM algorithm for di_erent censoring schemes
with regard to their mean bias and MSE at _xed parameter values of _ and _. Simulation
studies reveal that the MLEs via EM algorithm performs better than those obtained via NR
method. The results of the obtained estimators are illustrated on real data.
Mwende, M (2021). Maximum Likelihood Estimation of Parameters of Lomax Distribution Based on Progressive Type-II Hybrid Censoring Scheme.. Afribary. Retrieved from https://afribary.com/works/maximum-likelihood-estimation-of-parameters-of-lomax-distribution-based-on-progressive-type-ii-hybrid-censoring-scheme
Mwende, Mwendwa "Maximum Likelihood Estimation of Parameters of Lomax Distribution Based on Progressive Type-II Hybrid Censoring Scheme." Afribary. Afribary, 28 May. 2021, https://afribary.com/works/maximum-likelihood-estimation-of-parameters-of-lomax-distribution-based-on-progressive-type-ii-hybrid-censoring-scheme. Accessed 01 May. 2024.
Mwende, Mwendwa . "Maximum Likelihood Estimation of Parameters of Lomax Distribution Based on Progressive Type-II Hybrid Censoring Scheme.". Afribary, Afribary, 28 May. 2021. Web. 01 May. 2024. < https://afribary.com/works/maximum-likelihood-estimation-of-parameters-of-lomax-distribution-based-on-progressive-type-ii-hybrid-censoring-scheme >.
Mwende, Mwendwa . "Maximum Likelihood Estimation of Parameters of Lomax Distribution Based on Progressive Type-II Hybrid Censoring Scheme." Afribary (2021). Accessed May 01, 2024. https://afribary.com/works/maximum-likelihood-estimation-of-parameters-of-lomax-distribution-based-on-progressive-type-ii-hybrid-censoring-scheme