TITLE:
Approximation of Finite Population Totals Using Lagrange Polynomial
AUTHORS:
Lamin Kabareh, Thomas Mageto, Benjamin Muema
KEYWORDS:
Lagrange Polynomial, Approximation, Finite Population Total, Auxiliary Information, Local Polynomial Regression, Horvitz Thompson and Ratio Estimator
JOURNAL NAME:
Open Journal of Statistics,
Vol.7 No.4,
August
18,
2017
ABSTRACT: Approximation of finite population totals in the presence of auxiliary
information is considered. A polynomial based on Lagrange polynomial is proposed.
Like the local polynomial regression, Horvitz Thompson and ratio estimators,
this approximation technique is based on annual population total in order to
fit in the best approximating polynomial within a given period of time (years)
in this study. This proposed technique has shown to be unbiased under a linear
polynomial. The use of real data indicated that the polynomial is efficient and
can approximate properly even when the data is unevenly spaced.