On Point Estimations of some Uniform Distributions
Jin Liang Wang, Ming Fa Zhou, Qiong Wu · Applied Mechanics and Materials · 2015
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.