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This paper is concerned with estimation of parameters of the two parameter (location and scale) exponential distribution. We used the least squares method (LSM), relative least squares method (RELS), ridge regression method (RR), moment estimators (ME), modified moment estimators (MME), maximum likelihood estimators (MLE) and modified maximum likelihood estimators (MMLE). We used the mean square error MSE, and total deviation TD, as measurement for the comparison between these methods. We determined the best method for estimation using different values for the parameters and different sample sizes
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