{"title":"零截尾Poisson-Sujatha分布的推广","authors":"R. Shanker, K. Shukla","doi":"10.35618/hsr2019.02.en032","DOIUrl":null,"url":null,"abstract":"In this study, the authors propose a generalization of the zero-truncated Poisson-Sujatha distribution that includes both the zero-truncated Poisson-Lindley and the zero-truncated PoissonSujatha distributions as special cases. The statistical properties based on moments, including behaviours due to the coefficient of variation, skewness, kurtosis, and the index of dispersion are studied. The estimation of parameters using maximum likelihood is carried out. Finally, the goodness of fit of the proposed distribution is presented with four datasets.","PeriodicalId":119089,"journal":{"name":"Hungarian Statistical Review","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A generalization of zero-truncated Poisson-Sujatha distribution\",\"authors\":\"R. Shanker, K. Shukla\",\"doi\":\"10.35618/hsr2019.02.en032\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this study, the authors propose a generalization of the zero-truncated Poisson-Sujatha distribution that includes both the zero-truncated Poisson-Lindley and the zero-truncated PoissonSujatha distributions as special cases. The statistical properties based on moments, including behaviours due to the coefficient of variation, skewness, kurtosis, and the index of dispersion are studied. The estimation of parameters using maximum likelihood is carried out. Finally, the goodness of fit of the proposed distribution is presented with four datasets.\",\"PeriodicalId\":119089,\"journal\":{\"name\":\"Hungarian Statistical Review\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Hungarian Statistical Review\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.35618/hsr2019.02.en032\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Hungarian Statistical Review","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.35618/hsr2019.02.en032","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A generalization of zero-truncated Poisson-Sujatha distribution
In this study, the authors propose a generalization of the zero-truncated Poisson-Sujatha distribution that includes both the zero-truncated Poisson-Lindley and the zero-truncated PoissonSujatha distributions as special cases. The statistical properties based on moments, including behaviours due to the coefficient of variation, skewness, kurtosis, and the index of dispersion are studied. The estimation of parameters using maximum likelihood is carried out. Finally, the goodness of fit of the proposed distribution is presented with four datasets.