Comparison of the Ratio Estimate to the Local Linear Polynomial Estimate of Finite Population Totals

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Date
2013-03Author
Odongo, L. O.
Maua, M. Z.
Orwa, G.O.
Otieno, Romanus Odhiambo
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Show full item recordAbstract
In this paper, attempt to study effects of extreme observations on two estimators of finite
population total theoretically and by simulation is made. We compare the ratio estimate with the
local linear polynomial estimate of finite population total given different finite populations. Both
classical and the non-parametric estimator based on the local linear polynomial produce good
results when the auxiliary and the study variables are highly correlated. It is however noted that
in the presence of outlying observations the local linear polynomial performs better with respect
to design mean square error (MSE) in all the artificial populations generated.