Abstract:
This paper focuses on introducing a new parameter estimator to the
logistic regression model when the multicollinearity presents. The
proposed estimator called Modified almost unbiased logistic Liu esti mator (MAULLE) is obtained by composing the Liu estimator and the
almost unbiased Liu estimator. Further, conditions for the superiority
of the new estimator over some existing estimators were derived
with respect to mean square error (MSE) and scalar mean square
error (SMSE) sense. A Monte Carlo simulation study was carried out
to compare the performance of the proposed estimator with some
existing estimators in the scalar mean square error sense, and a real
data example was discussed to illustrate the theoretical results.
