{"title":"力矩生成函数的一些不足","authors":"A. Okolo","doi":"10.4314/GJMAS.V3I1.21347","DOIUrl":null,"url":null,"abstract":"Two deficiencies in using moment-generating functions are given and illustrated with examples. Many distributions do not have moment generating functions, but every distribution has a unique characteristic function. The use of characteristic functions is preferred to moment-generating functions. KEY WORDS: Moment-generating functions, Characteristic functions. Global Jnl of Mathematical Sciences Vol. 31) 2004: 23-26","PeriodicalId":126381,"journal":{"name":"Global Journal of Mathematical Sciences","volume":"718 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"SOME DEFICIENCIES IN USING MOMENT GENERATING FUNCTIONS\",\"authors\":\"A. Okolo\",\"doi\":\"10.4314/GJMAS.V3I1.21347\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Two deficiencies in using moment-generating functions are given and illustrated with examples. Many distributions do not have moment generating functions, but every distribution has a unique characteristic function. The use of characteristic functions is preferred to moment-generating functions. KEY WORDS: Moment-generating functions, Characteristic functions. Global Jnl of Mathematical Sciences Vol. 31) 2004: 23-26\",\"PeriodicalId\":126381,\"journal\":{\"name\":\"Global Journal of Mathematical Sciences\",\"volume\":\"718 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-05-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Global Journal of Mathematical Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4314/GJMAS.V3I1.21347\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Global Journal of Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4314/GJMAS.V3I1.21347","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
SOME DEFICIENCIES IN USING MOMENT GENERATING FUNCTIONS
Two deficiencies in using moment-generating functions are given and illustrated with examples. Many distributions do not have moment generating functions, but every distribution has a unique characteristic function. The use of characteristic functions is preferred to moment-generating functions. KEY WORDS: Moment-generating functions, Characteristic functions. Global Jnl of Mathematical Sciences Vol. 31) 2004: 23-26