{"paper":{"title":"An estimator for Poisson means whose relative error distribution is known","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Mark Huber","submitted_at":"2016-05-30T23:11:18Z","abstract_excerpt":"Suppose that $X_1,X_2,\\ldots$ are a stream of independent, identically distributed Poisson random variables with mean $\\mu$. This work presents a new estimate $\\mu_k$ for $\\mu$ with the property that the distribution of the relative error in the estimate ($(\\hat \\mu_k/\\mu) - 1$) is known, and does not depend on $\\mu$ in any way. This enables the construction of simple exact confidence intervals for the estimate, as well as a means of obtaining fast approximation algorithms for high dimensional integration using TPA. The new estimate requires a random number of Poisson draws, and so is best sui"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.09445","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"}