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Section 10.1 Student Learning Objectives

The subject of this chapter is the estimation of the value of a parameter on the basis of data. An estimator is a statistic that is used for estimation. Criteria for selecting among estimators are discussed, with the goal of seeking an estimator that tends to obtain values that are as close as possible to the value of the parameter. Different examples of estimation problems are presented and analyzed. By the end of this chapter, the student should be able to:
  • Recognize issues associated with the estimation of parameters.
  • Define the notions of bias, variance and mean squared error (MSE) of an estimator.
  • Estimate parameters from data and assess the performance of the estimation procedure.