{"title":"关于均匀分布的推广及其性质","authors":"K. Jayakumar, K. K. Sankaran","doi":"10.6092/ISSN.1973-2201/6090","DOIUrl":null,"url":null,"abstract":"Nadarajah et al.(2013) introduced a family life time models using truncated negative binomial distribution and derived some properties of the family of distributions. It is a generalization of Marshall-Olkin family of distributions. In this paper, we introduce Generalized Uniform Distribution (GUD) using the approach of Nadarajah et al.(2013). The shape properties of density function and hazard function are discussed. The expression for moments, order statistics, entropies are obtained. Estimation procedure is also discussed.The GDU introduced here is a generalization of the Marshall-Olkin extended uniform distribution studied in Jose and Krishna(2011).","PeriodicalId":45117,"journal":{"name":"Statistica","volume":"76 1","pages":"83-91"},"PeriodicalIF":1.6000,"publicationDate":"2016-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"On a Generalisation of Uniform Distribution and its Properties\",\"authors\":\"K. Jayakumar, K. K. Sankaran\",\"doi\":\"10.6092/ISSN.1973-2201/6090\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Nadarajah et al.(2013) introduced a family life time models using truncated negative binomial distribution and derived some properties of the family of distributions. It is a generalization of Marshall-Olkin family of distributions. In this paper, we introduce Generalized Uniform Distribution (GUD) using the approach of Nadarajah et al.(2013). The shape properties of density function and hazard function are discussed. The expression for moments, order statistics, entropies are obtained. Estimation procedure is also discussed.The GDU introduced here is a generalization of the Marshall-Olkin extended uniform distribution studied in Jose and Krishna(2011).\",\"PeriodicalId\":45117,\"journal\":{\"name\":\"Statistica\",\"volume\":\"76 1\",\"pages\":\"83-91\"},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2016-03-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Statistica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.6092/ISSN.1973-2201/6090\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.6092/ISSN.1973-2201/6090","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 10
摘要
Nadarajah et al.(2013)引入了使用截断负二项分布的家庭寿命时间模型，并推导了家庭分布的一些性质。它是Marshall-Olkin分布族的推广。在本文中，我们使用Nadarajah等人(2013)的方法引入广义均匀分布(GUD)。讨论了密度函数和危险函数的形状性质。得到了矩量、阶统计量、熵的表达式。并对估计过程进行了讨论。这里介绍的GDU是对Jose和Krishna(2011)研究的Marshall-Olkin扩展均匀分布的推广。
On a Generalisation of Uniform Distribution and its Properties
Nadarajah et al.(2013) introduced a family life time models using truncated negative binomial distribution and derived some properties of the family of distributions. It is a generalization of Marshall-Olkin family of distributions. In this paper, we introduce Generalized Uniform Distribution (GUD) using the approach of Nadarajah et al.(2013). The shape properties of density function and hazard function are discussed. The expression for moments, order statistics, entropies are obtained. Estimation procedure is also discussed.The GDU introduced here is a generalization of the Marshall-Olkin extended uniform distribution studied in Jose and Krishna(2011).
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