## Tsukuba Journal of Mathematics

### Some properties on tests based on the Bayesian confidence interval

Michikazu Sato

#### Abstract

In testing statistical hypotheses, quite generally, if we admit the result of Neyman-Pearson (apart from the interpretation of them) in case that we specify $n$ in advance and admit the likelihood principle, the stopping rule that “continue the experiments until rejecting the null hypothesis” is closed. As a matter of fact, a stronger phenomenon happens, and we shall show it with some examples.

#### Article information

Source
Tsukuba J. Math., Volume 20, Number 1 (1996), 77-92.

Dates
First available in Project Euclid: 30 May 2017

Permanent link to this document
https://projecteuclid.org/euclid.tkbjm/1496162979

Digital Object Identifier
doi:10.21099/tkbjm/1496162979

Mathematical Reviews number (MathSciNet)
MR1406030

Zentralblatt MATH identifier
0884.62088

#### Citation

Sato, Michikazu. Some properties on tests based on the Bayesian confidence interval. Tsukuba J. Math. 20 (1996), no. 1, 77--92. doi:10.21099/tkbjm/1496162979. https://projecteuclid.org/euclid.tkbjm/1496162979