{"title":"一种新的广义柯西分布及其在年一日最大降雨量数据中的应用","authors":"Cory Ball, Binod Rimal, Sher B. Chhetri","doi":"10.19139/SOIC-2310-5070-1000","DOIUrl":null,"url":null,"abstract":"In this article, we introduce a new three-parameter transmuted Cauchy distribution using the quadratic rank transmutation map approach. Some mathematical properties of the proposed model are discussed. A simulation study is conducted using the method of maximum likelihood estimation to estimate the parameters of the model. We use two real data sets and compare various statistics to show the fitting and versatility of the proposed model.","PeriodicalId":93376,"journal":{"name":"Statistics, optimization & information computing","volume":"9 1","pages":"123-136"},"PeriodicalIF":0.0000,"publicationDate":"2021-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"A New Generalized Cauchy Distribution with an Application to Annual One Day Maximum Rainfall Data\",\"authors\":\"Cory Ball, Binod Rimal, Sher B. Chhetri\",\"doi\":\"10.19139/SOIC-2310-5070-1000\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we introduce a new three-parameter transmuted Cauchy distribution using the quadratic rank transmutation map approach. Some mathematical properties of the proposed model are discussed. A simulation study is conducted using the method of maximum likelihood estimation to estimate the parameters of the model. We use two real data sets and compare various statistics to show the fitting and versatility of the proposed model.\",\"PeriodicalId\":93376,\"journal\":{\"name\":\"Statistics, optimization & information computing\",\"volume\":\"9 1\",\"pages\":\"123-136\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Statistics, optimization & information computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.19139/SOIC-2310-5070-1000\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistics, optimization & information computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.19139/SOIC-2310-5070-1000","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A New Generalized Cauchy Distribution with an Application to Annual One Day Maximum Rainfall Data
In this article, we introduce a new three-parameter transmuted Cauchy distribution using the quadratic rank transmutation map approach. Some mathematical properties of the proposed model are discussed. A simulation study is conducted using the method of maximum likelihood estimation to estimate the parameters of the model. We use two real data sets and compare various statistics to show the fitting and versatility of the proposed model.
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