{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:34:15Z","timestamp":1760243655989,"version":"build-2065373602"},"reference-count":20,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2013,10,17]],"date-time":"2013-10-17T00:00:00Z","timestamp":1381968000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Bayesian testing of a point null hypothesis is considered. The null hypothesisis that an observation, x, is distributed according to the normal distribution with a mean ofzero and known variance q2. The alternative hypothesis is that x is distributed accordingto a normal distribution with an unknown nonzero mean, \u03bc, and variance q2. The testingproblem is formulated as a prediction problem. Bayesian testing based on priors constructedby using conditional mutual information is investigated.<\/jats:p>","DOI":"10.3390\/e15104416","type":"journal-article","created":{"date-parts":[[2013,10,17]],"date-time":"2013-10-17T13:39:40Z","timestamp":1382017180000},"page":"4416-4431","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Bayesian Testing of a Point Null Hypothesis Based on the Latent Information Prior"],"prefix":"10.3390","volume":"15","author":[{"given":"Fumiyasu","family":"Komaki","sequence":"first","affiliation":[{"name":"Department of Mathematical Informatics, Graduate School of Information Science and Technology, the University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan"},{"name":"RIKEN Brain Science Institute, 2-1 Hirosawa, Wako City, Saitama 351-0198, Japan\u00a0"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2013,10,17]]},"reference":[{"key":"ref_1","first-page":"112","article-title":"Testing a point null hypothesis: The irreconcilability of p values and evidence","volume":"82","author":"Berger","year":"1987","journal-title":"J. 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