{"title":"新正弦偏斜心形分布的一些性质","authors":"Cherif Mamadou Moctar Traor'e, Moumouni Diallo, G. Lo, Mouhamad Ahsanullah, Okereke Lois Chinwendu","doi":"10.16929/sbs/2018.100-02-09","DOIUrl":null,"url":null,"abstract":"The new Sine Skewed Cardioid (ssc) distribution been just introduced and characterized by Ahsanullah (2018). Here, we study the asymptotic properties of its tails by determining its extreme value domain, the characteristic function, the moments and likelihood estimators of the two parameters, the asymptotic normality of the moments estimators and the random generation of data from the \\textit{ssc} distribution. Finally, we proceed to a simulation study to show the performance of the random generation method and the quality of the moments estimation of the parameters.","PeriodicalId":321019,"journal":{"name":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On some properties of the new Sine-skewed Cardioid Distribution\",\"authors\":\"Cherif Mamadou Moctar Traor'e, Moumouni Diallo, G. Lo, Mouhamad Ahsanullah, Okereke Lois Chinwendu\",\"doi\":\"10.16929/sbs/2018.100-02-09\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The new Sine Skewed Cardioid (ssc) distribution been just introduced and characterized by Ahsanullah (2018). Here, we study the asymptotic properties of its tails by determining its extreme value domain, the characteristic function, the moments and likelihood estimators of the two parameters, the asymptotic normality of the moments estimators and the random generation of data from the \\\\textit{ssc} distribution. Finally, we proceed to a simulation study to show the performance of the random generation method and the quality of the moments estimation of the parameters.\",\"PeriodicalId\":321019,\"journal\":{\"name\":\"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia\",\"volume\":\"18 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-11-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.16929/sbs/2018.100-02-09\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.16929/sbs/2018.100-02-09","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On some properties of the new Sine-skewed Cardioid Distribution
The new Sine Skewed Cardioid (ssc) distribution been just introduced and characterized by Ahsanullah (2018). Here, we study the asymptotic properties of its tails by determining its extreme value domain, the characteristic function, the moments and likelihood estimators of the two parameters, the asymptotic normality of the moments estimators and the random generation of data from the \textit{ssc} distribution. Finally, we proceed to a simulation study to show the performance of the random generation method and the quality of the moments estimation of the parameters.