On Point Estimations of some Uniform Distributions

Jin Liang Wang; Ming Fa Zhou; Qiong Wu

doi:10.4028/www.scientific.net/AMM.713-715.1800

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 713-715On Point Estimations of some Uniform Distributions

On Point Estimations of some Uniform Distributions

Abstract:

For a population according to a uniform distribution where is known, Thomas Yageen (1996) derived an efficient estimator for . Here for the case when both and 'are unknown, we obtain uniformly minimum variance unbiased (UMVU) estimators for them. Moreover, for a sample drawn without replacement from an integer-valued population which is uniformly distributed on consecutive integers with both and unknown, we obtain a UMVU estimator for and apply it in a number serial analysis problem. Finally, under the criterion of mean squared error, one developed estimator is provided.