{"paper":{"title":"On Jiang's asymptotic distribution of the largest entry of a sample correlation matrix","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Andrew Rosalsky, Deli Li, Yongcheng Qi","submitted_at":"2010-11-13T22:46:29Z","abstract_excerpt":"Let $ \\{X, X_{k,i}; i \\geq 1, k \\geq 1 \\}$ be a double array of nondegenerate i.i.d. random variables and let $\\{p_{n}; n \\geq 1 \\}$ be a sequence of positive integers such that $n/p_{n}$ is bounded away from $0$ and $\\infty$. This paper is devoted to the solution to an open problem posed in Li, Liu, and Rosalsky (2010) on the asymptotic distribution of the largest entry $L_{n} = \\max_{1 \\leq i < j \\leq p_{n}} \\left | \\hat{\\rho}^{(n)}_{i,j} \\right |$ of the sample correlation matrix ${\\bf \\Gamma}_{n} = \\left ( \\hat{\\rho}_{i,j}^{(n)} \\right )_{1 \\leq i, j \\leq p_{n}}$ where $\\hat{\\rho}^{(n)}_{i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.3164","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"}