PROBABILITY, STATISTICAL DECISION THEORY, AND ACCOUNTING.
Statistical decision theory is concerned with making decisions under uncertainty. One shall define uncertainty as being a situation where the underlying probability model is not known. Tossing a fair coin fairly is an example of a probability model which is known. There is 0.5 probability of a head and a 0.5 probability of a tail. However, if a person took a coin out of his pocket and threw it in the air, the coin might not be perfectly fair, or with enough practice his pitching arm could be taught tricks. With either event, the underlying probability model is not known and the process of placing a bet on the toss of a coin is the type of problem to which one may apply statistical decision theory. The schools offering the Ph.D. have responsibility to see that their graduates are better equipped than the present generation to solve the complex problems of the business community. One of the tools available, and which will be widely used in the future, is the tool of quantitative analysis, including the very important tool of statistical decision theory. Teachers of prospective practitioners of the art of business administration have to instill an appreciation of quantitative skills so that the businessmen of the future are receptive to the ideas that will be generated in industry and in the academic community.