Confidence, user, incorporation

Subsequent research by Herschel (1971), Kikuchi and Softer (1977), and Frieden (Chapter 8) has refined the concept in a way that provides an explicit and sensible accounting for noise contributions. This work also provides solutions that incorporate a type of prior knowledge not used before. In particular, the users may express their bias by proposing a prior spectrum or guess as to what the true spectrum o(x) might look like. Furthermore, they may express their relative confidence in the guess by specifying a probability of occurrence for each value that may be assumed by an element of the estimate o(x). Both the prior spectrum and its associated user-conviction probability function may be obtained from past experience by statistical analysis. In Chapter 8, Frieden examines the possibilities of maximum and minimum conviction in connection with the types of prior... 

The use of programmable electronic systems (PES) in industry has grown considerably with the availability of microcomputers. These systems offer many benefits to the designer and user in providing more comprehensive control of industrial processes, enviroments, machine tools and in robot installations. As confidence grows with the application of PES, users and manufacturers are considering incorporating safety functions within the requirements and functions of the PES. 

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