{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,7]],"date-time":"2026-05-07T22:30:05Z","timestamp":1778193005253,"version":"3.51.4"},"reference-count":6,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T00:00:00Z","timestamp":1761436800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"},{"start":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T00:00:00Z","timestamp":1761436800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Quality &amp; Reliability Eng"],"published-print":{"date-parts":[[2026,3]]},"abstract":"<jats:title>ABSTRACT<\/jats:title>\n                  <jats:p>\n                    In this article we first derive the sampling distribution of y\u00a0=\u00a0log\n                    <jats:sub>e<\/jats:sub>\n                    (\n                    <jats:italic>S<\/jats:italic>\n                    ) where the variate\n                    <jats:italic>S<\/jats:italic>\n                    represents the standard deviation of a sample of size\n                    <jats:italic>n<\/jats:italic>\n                    \u00a0\u2265\u00a02 from an underlying normal universe. We then use the density of y\u00a0=\u00a0Ln(\n                    <jats:italic>S<\/jats:italic>\n                    ) to tabulate the first four moments of log\n                    <jats:sub>e<\/jats:sub>\n                    (\n                    <jats:italic>S<\/jats:italic>\n                    ). We will determine if there is sample size\n                    <jats:italic>n<\/jats:italic>\n                    beyond which both the skewness and kurtosis of log\n                    <jats:sub>e<\/jats:sub>\n                    (\n                    <jats:italic>S<\/jats:italic>\n                    ) are within 0.20 of normal zero so that the corresponding normal approximation may be adequate. The quantiles of y will be obtained in a sequel article, and they will be used to assess the normal approximation; the quality control aspects of log\n                    <jats:sub>e<\/jats:sub>\n                    (\n                    <jats:italic>S<\/jats:italic>\n                    ) will also be discussed in a future article.\n                  <\/jats:p>","DOI":"10.1002\/qre.70095","type":"journal-article","created":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T16:45:12Z","timestamp":1761497112000},"page":"767-773","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["The Sampling Distribution of Natural Logarithm of Standard Deviation From a Normal Universe"],"prefix":"10.1002","volume":"42","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4072-5730","authenticated-orcid":false,"given":"Saeed","family":"Maghsoodloo","sequence":"first","affiliation":[{"name":"ISE Department Auburn University  Auburn Alabama USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Daniel F.","family":"Silva","sequence":"additional","affiliation":[{"name":"ISE Department Auburn University  Auburn Alabama USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2025,10,26]]},"reference":[{"key":"e_1_2_10_2_1","first-page":"255","volume-title":"The Advanced Theory of Statistics","author":"Kendall M. G.","year":"1963"},{"key":"e_1_2_10_3_1","first-page":"80","volume-title":"Statistics in Research: Basic Concepts and Techniques for Research Workers","author":"Ostle B.","year":"1988"},{"key":"e_1_2_10_4_1","unstructured":"C.\u2010Y.Chou Exact Control Limits for Monitoring Process Variation Auburn University Dissertation Directed by Saeed Maghsoodloo June 1992."},{"key":"e_1_2_10_5_1","doi-asserted-by":"publisher","DOI":"10.1002\/qre.2657"},{"key":"e_1_2_10_6_1","first-page":"207","volume-title":"Continuous Univariate Distributions","author":"Johnson N. L.","year":"1994"},{"key":"e_1_2_10_7_1","first-page":"335","volume-title":"Advanced Calculus for Applications","author":"Hildebrand F. B.","year":"1962"}],"container-title":["Quality and Reliability Engineering International"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/qre.70095","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/full-xml\/10.1002\/qre.70095","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/qre.70095","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,14]],"date-time":"2026-02-14T10:19:33Z","timestamp":1771064373000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/qre.70095"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,10,26]]},"references-count":6,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2026,3]]}},"alternative-id":["10.1002\/qre.70095"],"URL":"https:\/\/doi.org\/10.1002\/qre.70095","archive":["Portico"],"relation":{},"ISSN":["0748-8017","1099-1638"],"issn-type":[{"value":"0748-8017","type":"print"},{"value":"1099-1638","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,10,26]]},"assertion":[{"value":"2025-05-13","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-10-04","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2025-10-26","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}