This study is concerned with two-parameter Weibull distribution which is very important in life testing and reliability analysis. Two methods viz: maximum likelihood estimation (MLE) and Ordinary Least Squares (OLS) are good alternatives in estimating the parameters of a simple Weibull distribution as the sample sizes increases. These estimators are derived for Random Type-I censored samples. These methods were compared by looking at their standard errors through simulation study with sample sizes of 100, 300, 500 and 1000. It was observed that MLE stands out when estimating the parameters of the Weibull distribution as the sample size increases compared to the OLSM. We also noted that both OLSM and MLE provides asymptotically normally distributed estimator.
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