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

Abdallah Abdelfattah; Nagwan Reyad Elshendidy

doi:10.24297/jam.v19i.8828

Authors

Abdallah Abdelfattah Department of Mathematical Statistics, Faculty of Graduated Studies & Statistical Research ,Egypt.
Nagwan Reyad Elshendidy Department of Mathematical Statistics, Faculty of Graduated Studies & Statistical Research ,Egypt.

DOI:

https://doi.org/10.24297/jam.v19i.8828

Keywords:

Ranked set sampling., Maximum likelihood estimation, Fisher information matrix , Exponentiated Burr typeXII

Abstract

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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