Abstract
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.
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© 1994 Springer-Verlag Berlin Heidelberg
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Poor, H.V. (1994). Elements of Parameter Estimation. In: An Introduction to Signal Detection and Estimation. Springer Texts in Electrical Engineering. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2341-0_4
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DOI: https://doi.org/10.1007/978-1-4757-2341-0_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2837-5
Online ISBN: 978-1-4757-2341-0
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