Journal of Modern Applied Statistical Methods · 2011 · 12 citations · 18 references
Natural SciencesMathematicsStatisticsStochastic ModelingSurvival AnalysisEstimation TheoryInferential StatisticsMaximum Likelihood EstimationSampling DesignSampling MethodsSampling TechniquesExtreme Value AnalysisExtreme Value DistributionsExtreme Value EstimationMaximum Likelihood EstimatorMethod Of Maximum LikelihoodSampling DistributionsSimple Random SamplingWeibull Model
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.
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