TITLE:
A Multiplicative Bias Correction for Nonparametric Approach and the Two Sample Problem in Sample Survey
AUTHORS:
Kemtim Tamboun Stephane, Romanus Odhiambo Otieno, Thomas Mageto
KEYWORDS:
Multiplicative Bias Correction, Two Sample Problem, Bias
JOURNAL NAME:
Open Journal of Statistics,
Vol.7 No.6,
December
29,
2017
ABSTRACT: Let two separate surveys collect related information on a single
population U. Consider situation where we want to best combine data from the
two surveys to yield a single set of estimates of a population quantity
(population parameter) of interest. This Article presents a multiplicative bias
reduction estimator for nonparametric regression to two sample problem in
sample survey. The approach consists to apply a multiplicative bias correction
to an estimator. The multiplicative bias correction method which was proposed,
by Linton & Nielsen, 1994, assures a positive estimate and reduces the bias
of the estimate with negligible increase in variance. Even as we apply this
method to the two sample problem in
sample survey, we found out through the study of it asymptotic properties that
it was asymptotically unbiased, and statistically consistent. Furthermore an
empirical study was carried out to compare the performance of the developed estimator with
the existing ones.