An Efficient S.brunken Estimators For The Mean Of Normal Population With Kuown Variance
This article co;nsiders a shrunken estimator ·Of Al-Hermyari· and
AI Gobuii (.1) to estimate the mean (8) of a normal clistributicm N (8 cr4) with known variance (cr+), when <:I guess value (So) av11il ble about the mean (B) as· an initial estrmate. This estimator is shown to be
more efficient tl1an the class-ical estimators especially when 8 is close to 8•. General expressions .for bias and MSE -of considered estitnator are gi 'en, witeh some examples. Nut.nerical cresdlts, comparisons and
conclusions ate reported.