Linear Formula Estimators For The Reliability Of Transmuted Pareto Distribution

Abstract

In this paper, been studying an estimation of reliability for Transmuted Pareto (TP) distribution, by methods (Least Square, Weighted Least Square, Regression, White and New White) . We used simulation to generate data for three experimental cases ( ) of default values for the real parameters with the sample size (  and sample replicated , values for reliability times were taken  .

  The comparison operation of the results obtained was conducted using mean square error (MSE),the results showed the following :

   In (E₁) was found that White and Regression methods are the best methods of estimating reliability, but in ( ) the White method was the best.