Accession Number:

AD0759831

Title:

Prior and Posterior Probabilities and Semantic Information,

Descriptive Note:

Corporate Author:

CALIFORNIA UNIV LOS ANGELES WESTERN MANAGEMENT SCIENCE INST

Personal Author(s):

Report Date:

1972-11-01

Pagination or Media Count:

19.0

Abstract:

According to logicians, high semantic information must be desired by a scientist. It is associated with surprise. Indeed, if scientist is defined as one for whom all errors are equally undesirable and all correct statements are equally desirable, then it does follow that A the scientists though not a decision-maker in general receiving perfect evidence gains least when it is a priori most probable and thus least surprising and B the scientist receiving imperfect evidence gains, on the average, most from the message with the highest difference between two posterior probabilities derived from it that of the proposition most probable a posteriori and that of the a priori most probable one. Of these results, A is probably, and B possibly, an adequate rendering, in terms of decision theory, of some parts of the logicians discussion related to semantic information. Author

Subject Categories:

  • Operations Research
  • Cybernetics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE