Testing Statistical Hypotheses pp 28-55 | Cite as

# The Probability Background

The mathematical framework for statistical decision theory is provided by the theory of probability, which in turn has its foundations in the theory of measure and integration. The present chapter serves to define some of the basic concepts of these theories, to establish some notation, and to state without proof some of the principal results which will be used throughout Chapters 3–9. In the remainder of this chapter, certain special topics are treated in more detail. Basic notions of convergence in probability theory which will be needed for large sample statistical theory are deferred to Section 11.2.

## Keywords

Conditional Probability Conditional Expectation Exponential Family Range Space Conditional Probability Distribution## Preview

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