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Furthermore, the same techniques are applied to determine the tail probability density function for a ratio statistic,\nand for a sum with more than two lognormally distributed random variables under some stricter conditions. The results yield new insights into the problem of characterization for a sum of lognormally distributed random variables and demonstrate that there is a need to revisit many existing approximation methods.<\/jats:p>","DOI":"10.1155\/2009\/630857","type":"journal-article","created":{"date-parts":[[2009,8,10]],"date-time":"2009-08-10T14:59:49Z","timestamp":1249916389000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":27,"title":["Asymptotic Behavior of Tail Density for Sum of Correlated Lognormal Variables"],"prefix":"10.1155","volume":"2009","author":[{"given":"Xin","family":"Gao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hong","family":"Xu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dong","family":"Ye","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2009,8,10]]},"reference":[{"key":"e_1_2_7_1_2","doi-asserted-by":"publisher","DOI":"10.1088\/0031-9155\/49\/17\/012"},{"key":"e_1_2_7_2_2","doi-asserted-by":"publisher","DOI":"10.1186\/1471-2105-5-5"},{"key":"e_1_2_7_3_2","doi-asserted-by":"publisher","DOI":"10.1093\/bioinformatics\/btg003"},{"key":"e_1_2_7_4_2","doi-asserted-by":"publisher","DOI":"10.2307\/2331102"},{"key":"e_1_2_7_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.spl.2008.03.035"},{"key":"e_1_2_7_6_2","doi-asserted-by":"publisher","DOI":"10.1109\/26.477480"},{"key":"e_1_2_7_7_2","doi-asserted-by":"publisher","DOI":"10.1109\/26.664305"},{"key":"e_1_2_7_8_2","doi-asserted-by":"publisher","DOI":"10.1109\/JSAC.2003.816618"},{"key":"e_1_2_7_9_2","doi-asserted-by":"publisher","DOI":"10.1109\/4234.823535"},{"key":"e_1_2_7_10_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCOM.1960.1097606"},{"key":"e_1_2_7_11_2","doi-asserted-by":"publisher","DOI":"10.2307\/2283649"},{"key":"e_1_2_7_12_2","doi-asserted-by":"publisher","DOI":"10.2307\/2284858"},{"key":"e_1_2_7_13_2","doi-asserted-by":"publisher","DOI":"10.1017\/S0334270000006901"},{"key":"e_1_2_7_14_2","doi-asserted-by":"publisher","DOI":"10.1109\/TVT.2006.878610"},{"key":"e_1_2_7_15_2","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1970.1054458"},{"key":"e_1_2_7_16_2","doi-asserted-by":"publisher","DOI":"10.1109\/26.930627"},{"key":"e_1_2_7_17_2","doi-asserted-by":"publisher","DOI":"10.1109\/LCOMM.2004.827448"},{"key":"e_1_2_7_18_2","unstructured":"SzyszkowiczS. 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