1988 | OriginalPaper | Buchkapitel
Elements of Parameter Estimation
verfasst von : H. Vincent Poor
Erschienen in: An Introduction to Signal Detection and Estimation
Verlag: Springer New York
Enthalten in: Professional Book Archive
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In Chapters II and III we have considered the design of optimum procedures for deciding between two possible statistical situations on the basis of a random observation Y. In many situations arising in practice we are interested not in making a choice between two (or among several) discrete situations, but rather in making a choice among a continuum of possible states of nature. In particular, as in the composite hypothesis testing problems discussed in Chapter II, we can think of a family of distributions on the observation space, indexed by a parameter or set of parameters. But unlike the case of composite hypothesis testing in which we wish to make a binary decision about the parameter, we wish here to determine as accurately as possible the actual value of the parameter from the observation.