Estimation of the Parameter of Certain Distributions with Known Coecient of Variation by U-Statistics

In this work we consider the problem of estimation of the location parameter of certain distributions
with known coe�cient of variation by U-statistics. We discussed the general technique of estimating
the location parameter of a distribution with known coe�cient of variation using the theory of Ustatistics.
The method has been illustrated in obtaining the estimator of the location parameter
(mean) of normal, logistic and double exponential distributions. The e�ciency properties of our
estimator in each case when compared with certain other commonly available estimators are also
discussed.