Open AccessA Comparison of the Methods for Estimation of Reliability Function for Burr-XII Distribution by Using Simulation.
Author(s) -
Baghdad Science Journal
Publication year - 2013
Publication title -
mağallaẗ baġdād li-l-ʿulūm
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.167
H-Index - 6
eISSN - 2411-7986
pISSN - 2078-8665
DOI - 10.21123/bsj.10.1.85-96
Subject(s) - estimator , mathematics , reliability (semiconductor) , statistics , function (biology) , sample size determination , mean squared error , estimation theory , estimation , sample (material) , engineering , physics , power (physics) , systems engineering , evolutionary biology , biology , thermodynamics , quantum mechanics
This deals with estimation of Reliability function and one shape parameter (?) of two- parameters Burr – XII , when ?(shape parameter is known) (?=0.5,1,1.5) and also the initial values of (?=1), while different sample shze n= 10, 20, 30, 50) bare used. The results depend on empirical study through simulation experiments are applied to compare the four methods of estimation, as well as computing the reliability function . The results of Mean square error indicates that Jacknif estimator is better than other three estimators , for all sample size and parameter values