The estimation of the population variance from a sample is also a popular topic for
Statisticians as the estimation of the population mean. Therefore, in Chapter 2, the estimators on
this topic such as Hirano, Isaki, Prasad – Singh, and Garcia – Cebrain are examined in detail
deriving the MSE equations of these estimators. In these derivations, it is worth mentioning that
the variance and the covariance functions for estimators of the population variance are very
complicated so in this chapter these functions are explained in a clear way to understand how to
get the MSE equations. The efficiency conditions for these estimators are also obtained and the
application supports these theoretical findings.
