For two normal distributions N(μ₁,σ²) and N(μ₂,σ²) the problem is to decide whether |μ₁-μ₂|≤ ε for a given ε. Two decision rules are given: maximin and bayesian for σ² known and unknown.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am31-2-2,
author = {Stanis\l aw Jaworski and Wojciech Zieli\'nski},
title = {A procedure for $\epsilon$-comparison of means of two normal distributions},
journal = {Applicationes Mathematicae},
volume = {31},
year = {2004},
pages = {155-160},
zbl = {1051.62007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am31-2-2}
}
Stanisław Jaworski; Wojciech Zieliński. A procedure for ε-comparison of means of two normal distributions. Applicationes Mathematicae, Tome 31 (2004) pp. 155-160. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am31-2-2/