{"paper":{"title":"Further properties of frequentist confidence intervals in regression that utilize uncertain prior information","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Khageswor Giri, Paul Kabaila","submitted_at":"2011-11-09T06:45:22Z","abstract_excerpt":"Consider a linear regression model with n-dimensional response vector, regression parameter \\beta = (\\beta_1, ..., \\beta_p) and independent and identically N(0, \\sigma^2) distributed errors. Suppose that the parameter of interest is \\theta = a^T \\beta where a is a specified vector. Define the parameter \\tau = c^T \\beta - t where c and t are specified. Also suppose that we have uncertain prior information that \\tau = 0. Part of our evaluation of a frequentist confidence interval for \\theta is the ratio (expected length of this confidence interval)/(expected length of standard 1-\\alpha confidenc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.2113","kind":"arxiv","version":3},"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"}