Titlebook: Introduction to Statistical Inference; Jack Carl Kiefer,Gary Lorden Textbook 1987 Springer-Verlag New York Inc. 1987 Likelihood.Mathematic

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Introduction to Statistical Inference,ct might then be to determine a “good” way of guessing, on the basis of the outcome of the experiment, which of the . underlying probability laws is the . which actually governs the experiment whose outcome we are to observe.

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Confidence Intervals,table is 4.1 feet long.” Thus, if were discussing confidence intervals, . consists of a collection of intervals, and we may denote by [.] that decision which consists of the set of real numbers between . and . inclusive; the decision in the example of the table would be [4.0,4.3].

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Classifications of Statistical Problems,ne of some topics we shall cover in later chapters. You may not understand all aspects of this outline at a first reading, but you are urged to refer to this chapter as various topics are taken up in order to fit them into a proper perspective.

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Textbook 1987istributed to the class in lieu of a textbook, and the problems were used for homework assignments. Relying only on modest prerequisites of probability theory and cal­ culus, Kiefer‘s approach to a first course in statistics is to present the central ideas of the modem mathematical theory with a min

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Some Criteria For Choosing a Procedure,teria) is (are) necessary. The purpose of such a criterion is to specify uniquely a statistical procedure . which will be used. Some of the criteria which are often used to select a single procedure . to be used in a particular statistics problem are the following:

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