Properties Of Maximum Likelihood Estimation For The Location Parametric For Symmetric Distributions On Ranked Set Sampling

Ranked Set Sampling (RSS) is a useful method of data collection. Properties of maximum likelihood estimation(MLE) for the location parametric on RSS are studied. It proves that the MLE is a unbiased estimator and location equivariant estimator. This results are extended to the unbalance RSS under a certain situation. The variance of the estimators are compared with their SRS counterparts for the case of normal distribution. Numerical calculation appears that the former is better than the latter.