{"paper":{"title":"On the behavior of Bayesian credible intervals for some restricted parameter space problems","license":"","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"\\'Eric Marchand, William E. Strawderman","submitted_at":"2006-11-22T11:09:40Z","abstract_excerpt":"For estimating a positive normal mean, Zhang and Woodroofe (2003) as well as Roe and Woodroofe (2000) investigate 100($1-\\alpha)%$ HPD credible sets associated with priors obtained as the truncation of noninformative priors onto the restricted parameter space. Namely, they establish the attractive lower bound of $\\frac{1-\\alpha}{1+\\alpha}$ for the frequentist coverage probability of these procedures. In this work, we establish that the lower bound of $\\frac{1-\\alpha}{1+\\alpha}$ is applicable for a substantially more general setting with underlying distributional symmetry, and obtain various ot"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0611684","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}