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Summary Given the number of successes in a random sample, prediction limits can be determined for the number which will be observed in a second sample, in a way which does not depend on any assumption or inference about the unknown proportion in the population. Such “confidence limits” for the prediction are found to correspond to Bayesian solutions based on two particular prior distributions, and are related to Laplace's rule of succession. The results suggest a possible type of “prediction strategy”.
A. R. Thatcher (Wed,) studied this question.