Estimation of the variance for logistic distribution under ranked set sampling and simple random sampling: a comparative study
| STATISTICA & APPLICAZIONI - 2012 - 2
The logistic distribution is applicable in many area of research. In this study, several estimators of
the variance when the location parameter is known and unknown are considered when data are
gathered under simple random sampling (SRS) and ranked set sampling (RSS). For some estimators
considered, the bias and mean square error (MSE) are not gotten in closed form. Using Monte Carlo
simulations, comparison of these estimators is made based on biases, MSE and efficiency. When
the estimators are compared, it is found that estimators based on maximum likelihood method are
more efficient than other estimators considered, under both SRS and RSS. However, estimators
based on RSS have more advantages over those based on SRS.
Keywords: Logistic Distribution, Ranked set Sampling, Simple Random Sampling, Variance, Estimations.