Abstract
To propose a new estimator, the proposed estimator should be shown that it is more efficient than the estimators in literature. Therefore, obtaining the MSE of the proposed estimator is obligatory. For this reason, in Chapter 3, the Taylor Series Method, which is the most popular method in literature for finding the MSE of the estimators, is explained in detail. All alternative techniques for this method are also discussed. The necessary notations for these techniques are presented. For the illustration of the usage of the method, many estimators in literature are used such as Kaur regression estimator, Kadilar – Cingi ratio estimators, Singh – Chaudhary estimator having two auxiliary variables, Ray – Singh and Bahl – Tuteja estimators having auxiliary attribute, Singh – Horn estimator in the case of the missing data and many more. The general form of the Taylor Series Method is also studied in this chapter.
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