This paper deals with estimating parameters and reliability function for the general linear failure rate distribution, which is an important probability distribution for studying the time to failure for machines and equipment. The parameters of location ( ), and scale parameter ( ), were estimated, while the shape parameter ( ) considered known. Three statistical methods are used for estimation which include maximum likelihood method, least square method, and proposed method including finding a mixed distribution, from using maximum likelihood and lest square estimator with proportion ( ), (1− ). The comparison between estimators has been done through simulation procedure using different
sample size like ( =15,30,50,75,100), and each experiment is replicated
( =1000). The comparison done using the statistical measure mean square error (MSE), all results of comparison were represented in Tables.