Tomasz J. Kozubowski , Anna K. Panorska , Matthew L. Forister
{"title":"离散截断帕累托分布","authors":"Tomasz J. Kozubowski , Anna K. Panorska , Matthew L. Forister","doi":"10.1016/j.stamet.2015.04.002","DOIUrl":null,"url":null,"abstract":"<div><p>We propose a new discrete distribution with finite support, which generalizes truncated Pareto and beta distributions<span> as well as uniform and Benford’s laws. Although our focus is on basic properties and stochastic representations, we also consider parameter estimation and include an illustration from ecology showing potential applications of this new stochastic model.</span></p></div>","PeriodicalId":48877,"journal":{"name":"Statistical Methodology","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2015-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.stamet.2015.04.002","citationCount":"18","resultStr":"{\"title\":\"A discrete truncated Pareto distribution\",\"authors\":\"Tomasz J. Kozubowski , Anna K. Panorska , Matthew L. Forister\",\"doi\":\"10.1016/j.stamet.2015.04.002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We propose a new discrete distribution with finite support, which generalizes truncated Pareto and beta distributions<span> as well as uniform and Benford’s laws. Although our focus is on basic properties and stochastic representations, we also consider parameter estimation and include an illustration from ecology showing potential applications of this new stochastic model.</span></p></div>\",\"PeriodicalId\":48877,\"journal\":{\"name\":\"Statistical Methodology\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.stamet.2015.04.002\",\"citationCount\":\"18\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Statistical Methodology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1572312715000313\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistical Methodology","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1572312715000313","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q","JCRName":"Mathematics","Score":null,"Total":0}
We propose a new discrete distribution with finite support, which generalizes truncated Pareto and beta distributions as well as uniform and Benford’s laws. Although our focus is on basic properties and stochastic representations, we also consider parameter estimation and include an illustration from ecology showing potential applications of this new stochastic model.
期刊介绍：
Statistical Methodology aims to publish articles of high quality reflecting the varied facets of contemporary statistical theory as well as of significant applications. In addition to helping to stimulate research, the journal intends to bring about interactions among statisticians and scientists in other disciplines broadly interested in statistical methodology. The journal focuses on traditional areas such as statistical inference, multivariate analysis, design of experiments, sampling theory, regression analysis, re-sampling methods, time series, nonparametric statistics, etc., and also gives special emphasis to established as well as emerging applied areas.
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