{"title":"备选超泊松分布的k阶版本","authors":"C. Kumar, B. Nair","doi":"10.1515/eqc-2013-0017","DOIUrl":null,"url":null,"abstract":"Abstract In this paper we develop an order k version of the alternative hyper-Poisson distribution of Kumar and Nair (Statistica, 2012) and study some of its important properties such as its probability mass function, first moment, variance and recurrence relations for its probabilities, raw moments and factorial moments. The estimation of the parameters of this class of distribution by various methods of estimation is also considered and demonstrated with the help of a real data set.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"36 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Order k Version of the Alternative Hyper-Poisson Distribution\",\"authors\":\"C. Kumar, B. Nair\",\"doi\":\"10.1515/eqc-2013-0017\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this paper we develop an order k version of the alternative hyper-Poisson distribution of Kumar and Nair (Statistica, 2012) and study some of its important properties such as its probability mass function, first moment, variance and recurrence relations for its probabilities, raw moments and factorial moments. The estimation of the parameters of this class of distribution by various methods of estimation is also considered and demonstrated with the help of a real data set.\",\"PeriodicalId\":360039,\"journal\":{\"name\":\"Economic Quality Control\",\"volume\":\"36 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Economic Quality Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/eqc-2013-0017\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Economic Quality Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/eqc-2013-0017","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Order k Version of the Alternative Hyper-Poisson Distribution
Abstract In this paper we develop an order k version of the alternative hyper-Poisson distribution of Kumar and Nair (Statistica, 2012) and study some of its important properties such as its probability mass function, first moment, variance and recurrence relations for its probabilities, raw moments and factorial moments. The estimation of the parameters of this class of distribution by various methods of estimation is also considered and demonstrated with the help of a real data set.