Titlebook: Probability and Statistics; Theory and Applicati Gunnar Blom Textbook 1989 Springer-Verlag New York Inc. 1989 Binomial distribution.Conditi

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Buttress

Functions of Random Variables,It is often of interest to consider a function . of a rv .. Then . itself is a rv with a distribution determined by .(·) and the distribution of ..

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Expectations,The sections in this chapter have rather different contents but are bound together by a common theme: we discuss various aspects of the concept of expectation.

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The Normal Distribution,The normal distribution has already been presented as an example of a continuous distribution (see §3.7). In this chapter, we shall study this important distribution in more detail.

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Point Estimation,Point estimation is a common activity in everyday life; only the name is new. For example, one sees a man and estimates his age from how he looks, or one measures the length of some object and obtains an estimate of its real length. We shall show in this chapter how data are used to construct point estimates of unknown parameters.

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Interval Estimation,A point estimate does not always give sufficient information about an unknown parameter. It is often more appropriate to use an ., or, as we often say, a .. The idea has already been presented in the examples in §10.3.

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Testing Hypotheses,This chapter deals with the theory of testing hypotheses. Many statisticians have contributed to the development of this theory, R.A. Fisher, J. Neyman, E.S. Pearson, and others. The practical importance of the theory is sometimes questioned, and, as we shall see, care needs to be exercised in using the theory.

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