Elementary Decision Theory by Chernoff Herman; Moses Lincoln E.; & Lincoln E. Moses

Author:Chernoff, Herman; Moses, Lincoln E.; & Lincoln E. Moses [Chernoff, Herman]
Language: eng
Format: epub
ISBN: 1900752
Publisher: Dover Publications
Published: 2012-10-10T16:00:00+00:00

Some further insight may be gained by the following graphical representation of the solution of the no-data problem which we present for the case where there are two possible states of nature.28 If the a priori probabilities are given by , we may regard

as the value of a function defined for 0 ≤ w ≤ 1. This function is represented by a straight line. Thus is a straight line which goes through the points (0, 0) and (1, 3); see Figure 6.1. Similarly represents a horizontal straight line and 3 − 3w is a straight line.

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