A Comparison of the usual and standard method for Estimating the measurement Parameter and Reliability Function for the Rayleigh Distribution

Abstract

Rayleigh distribution is an important probability distribution, as well as a common failure model in the field of reliability, life tests, and signal analysis. The research focused on the comparison between some of the well-known estimation methods (classical and Bayesian) for the scale parameter and reliability function, The methodology of the research depends on theoretical study, the methods of classical and Bayesian estimation has been determined elaborately to arrive to the estimations forms of reliability. Also this research depends on an experimental study by designing number of simulation experiments using by using the one standards; Mean Square Error (MSE), the results of the research showed that the PERCE method is better than other estimation methods in relation to most values. The researcher recommended that new normal and Bayesian methods be used for estimation by using different loss functions.