An Estimation of Parameters For Exponentiated Burr Type XII Distribution Based on Ranked Set Sampling
parameter Estimation for EBXII and Fisher information matrix based on RSS
Keywords:Ranked set sampling., Maximum likelihood estimation, Fisher information matrix , Exponentiated Burr typeXII
The aim of this paper is to estimate the parameters of exponentiated Burr type XII distribution (EBXII) based on ranked set sampling (RSS) technique, and also simple random sampling(SRS) is provided by the method of maximum likelihood. Fisher information matrix for both (SRS) and (RSS) for the unknown parameters are derived. Simulation study compared between the estimators of both methods in terms of their biases, mean square errors, and efficiencies. It is shown that the estimators based on RSS are more efficient than those of SRS.
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Copyright (c) 2020 Abdallah Abdelfattah, Nagwan Reyad Elshendidy
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