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An Extended Rayleigh Model: Properties, Regression and COVID-19 Application 扩展的Rayleigh模型:性质、回归及COVID-19应用
IF 0.7
Chilean Journal of Statistics Pub Date : 2022-04-11 DOI: 10.32372/chjs.14-01-01
G. Cordeiro, Gabriela M. Rodrigues, E. Ortega, L. H. D. Santana, R. Vila
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引用次数: 1
Semiparametric Bayesian inference for repeated fractional measurement data. 重复分数测量数据的半参数贝叶斯推理。
IF 0.7
Chilean Journal of Statistics Pub Date : 2010-04-01
Ying Yang, Peter Müller, Gary L Rosner
{"title":"Semiparametric Bayesian inference for repeated fractional measurement data.","authors":"Ying Yang,&nbsp;Peter Müller,&nbsp;Gary L Rosner","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>We discuss inference for repeated fractional data, with outcomes between 0 to 1, including positive probability masses on 0 and 1. The point masses at the boundaries prevent the routine use of logit and other commonly used transformations of (0, 1) data. We introduce a model augmentation with latent variables that allow for the desired positive probability at 0 and 1 in the model. A linear mixed effect model is imposed on the latent variables. We propose a Bayesian semiparametric model for the random effects distribution. Specifically, we use a Polya tree prior for the unknown random effects distribution. The proposed model can capture possible multimodality and skewness of random effect distribution. We discuss implementation of posterior inference by Markov chain Monte Carlo simulation. The proposed model is illustrated by a simulation study and a cancer study in dogs.</p>","PeriodicalId":54032,"journal":{"name":"Chilean Journal of Statistics","volume":"1 1","pages":"59-74"},"PeriodicalIF":0.7,"publicationDate":"2010-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3150508/pdf/nihms217175.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"30060190","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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