@Article{cmc.2020.011497,
AUTHOR = {Rashad Bantan, Amal S. Hassan, Mahmoud Elsehetry},
TITLE = {Zubair Lomax Distribution: Properties and Estimation Based on  Ranked Set Sampling},
JOURNAL = {Computers, Materials \& Continua},
VOLUME = {65},
YEAR = {2020},
NUMBER = {3},
PAGES = {2169--2187},
URL = {http://www.techscience.com/cmc/v65n3/40162},
ISSN = {1546-2226},
ABSTRACT = {In this article, we offer a new adapted model with three parameters, called 
Zubair Lomax distribution. The new model can be very useful in analyzing and modeling 
real data and provides better fits than some others new models. Primary properties of the 
Zubair Lomax model are determined by moments, probability weighted moments, Renyi 
entropy, quantile function and stochastic ordering, among others. Maximum likelihood 
method is used to estimate the population parameters, owing to simple random sample 
and ranked set sampling schemes. The behavior of the maximum likelihood estimates for 
the model parameters is studied using Monte Carlo simulation. Criteria measures 
including biases, mean square errors and relative efficiencies are used to compare 
estimates. Regarding the simulation study, we observe that the estimates based on ranked 
set sampling are more efficient compared to the estimates based on simple random 
sample. The importance and flexibility of Zubair Lomax are validated empirically in 
modeling two types of lifetime data.},
DOI = {10.32604/cmc.2020.011497}
}