The Estimation Of The Shape Parameter Of Pareto Distribution Using Ranked Set Sampling

In the current paper, the estimation of the shape parameter a,respectively, of the Pareto distribution will be considered in cases when c is known and when c is unknown. Since there are many people who had spent much time in case when c is known, and few people had paid attention to the case when c is unknown, we will put our point on the study of estimating a when c is unknown. But in this paper, some conclusions about a when c is known will be used, so we will also list the estimations which were given in the paper [1] to introduce our new estimation in this case. Simple random sampling (SRS) and ranked set sampling (RSS) will be used. These estimators will be compared in terms of their mean square errors. The numerical results show the estimators based on RSS can be real competitors against those based on SRS.