Open AccessAn Estimation of Parameters For Exponentiated Burr Type XII Distribution Based on Ranked Set Sampling
Author(s) -
A. M. Abd-Elfattah,
Nagwan Reyad Elshendidy
Publication year - 2020
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v19i.8828
Subject(s) - rss , mathematics , estimator , statistics , fisher information , simple random sample , sampling (signal processing) , mean squared error , set (abstract data type) , type (biology) , computer science , population , demography , filter (signal processing) , sociology , computer vision , operating system , ecology , biology , programming language
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.