Extreme ranked set sampling (ERSS) is considered to estimate the three parameters and population mean of the modified Weibull distribution (MWD). The maximum likelihood estimator (MLE) is investigated and compared to the corresponding one based on simple random sampling (SRS). It is found that, the MLE based on ERSS is more efficient than MLE using SRS for estimating the three parameters of the MWD. The ERSS estimator of the population mean of the MWD is also found to be more efficient than the SRS based on the same number of measured units.
Al-Omari, Amer Ibrahim and Al-Hadhrami, Said Ali
"On Maximum Likelihood Estimators of the Parameters of a Modified Weibull Distribution Using Extreme Ranked Set Sampling,"
Journal of Modern Applied Statistical Methods:
2, Article 18.
Available at: http://digitalcommons.wayne.edu/jmasm/vol10/iss2/18