Statistical Models and Parametric Methods to Estimate the Reliability and Hazard Rate Functions of Weibull Distribution

Abstract

This article aimed to explain the statistical models and parametric methods in order to estimate and evaluate the reliability and hazard rate functions of Weibull distribution to productivity machines of the Textile department-national establishment of the Jordanian textiles in the industrial king Abdullah II City. Also, the article explained the maximum likelihood estimation method to estimate the two parameters of the Weibull distribution. To achieve the study objectives, we depend on the machines work times for the period (1/11/2013 – 31/1/2014).

Keywords: Weibull Distribution, Reliability Function, Hazard Rate, Parametric Methods,  Maximum Likelihood Estimation.