Personal probabilities of probabilities in the case of sampling without replacement

✍ Scribed by A. I. Dale

• Publisher: Springer US
• Year: 1980
• Tongue: English
• Weight: 99 KB
• Volume: 12
• Category: Article
• ISSN: 0040-5833
• DOI: 10.1007/bf00154659

✦ Synopsis

IN THE CASE OF SAMPLING WITHOUT REPLACEMENT 1. In his paper [1], Karl Borch discusses the question of the probability distribution of a probability. His discussion of the meaningfulness of such a question relies heavily on a 'sampling with replacement' scheme. It is the purpose of this note to point out that the argument holds also for a 'sampling without replacement' scheme.

2. Suppose that it is known that sampling is taking place without replacement, and consider the hypothesis H.

The sample, of size n, is drawn from a single urn containing r red and rn -r black balls.