5

Estimation Theory

5.1 Introduction

In Chapter 4, we have emphasized sampling properties of sample mean and sample variance and also displays of data in different forms. These presentations are meant to lay a foundation that ­permits ­statisticians to draw conclusions about the population parameters from experimental data. For ­example, the central limit theorem provides information about the distribution of the sample mean Eqn83. The distribution involves the mean of population μ. Thus, any conclusions drawn concerning μ from an observed sample average must depend on knowledge of this sampling distribution. Similar remarks hold in respect of

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