{"paper":{"title":"Truncated Cram\\'er-von Mises test of normality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Juan Kalemkerian","submitted_at":"2017-09-19T02:48:33Z","abstract_excerpt":"A new test of normality based on a standardised empirical process is introduced in this article.\n  The first step is to introduce a Cram\\'er-von Mises type statistic with weights equal to the inverse of the standard normal density function supported on a symmetric interval $[-a_n,a_n]$ depending on the sample size $n.$ The sequence of end points $a_n$ tends to infinity, and is chosen so that the statistic goes to infinity at the speed of $\\ln \\ln n.$ After substracting the mean, a suitable test statistic is obtained, with the same asymptotic law as the well-known Shapiro-Wilk statistic. The pe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.06230","kind":"arxiv","version":2},"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"}