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de Oliveira GL, Loschi RH, Assunção RM. A random-censoring Poisson model for underreported data. Stat Med 2017; 36:4873-4892. [DOI: 10.1002/sim.7456] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/23/2017] [Revised: 06/27/2017] [Accepted: 08/11/2017] [Indexed: 11/09/2022]
Affiliation(s)
- Guilherme Lopes de Oliveira
- Departamento de Estatística; Universidade Federal de Minas Gerais; Av. Antônio Carlos, 6.627 Belo Horizonte Minas Gerais 31270-901 Brazil
| | - Rosangela Helena Loschi
- Departamento de Estatística; Universidade Federal de Minas Gerais; Av. Antônio Carlos, 6.627 Belo Horizonte Minas Gerais 31270-901 Brazil
| | - Renato Martins Assunção
- Departamento de Ciência da Computação; Universidade Federal de Minas Gerais; Av. Antônio Carlos, 6.627 Belo Horizonte Minas Gerais 31270-901 Brazil
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Xia M, Gustafson P. Bayesian regression models adjusting for unidirectional covariate misclassification. CAN J STAT 2016. [DOI: 10.1002/cjs.11284] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Affiliation(s)
- Michelle Xia
- Division of Statistics; Northern Illinois University; Dekalb IL U.S.A
| | - Paul Gustafson
- Department of Statistics; University of British Columbia; Vancouver British Columbia Canada
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Abstract
We consider Bayesian inference for regression models of count data subject to underreporting. For the data generating process of counts as well as the fallible reporting process a joint model is specified, where the outcomes in both processes are related to a set of potential covariates. Identification of the joint model is achieved by additional information provided through validation data and incorporation of variable selection. For posterior inference we propose a convenient Markov chain Monte Carlo (MCMC) sampling scheme which relies on data augmentation and auxiliary mixture sampling techniques for this two-part model. Performance of the method is illustrated for simulated data and applied to analyse real data, collected to estimate risk of cervical cancer death.
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Affiliation(s)
| | - Helga Wagner
- Department of Applied Statistics, Johannes Kepler University, Linz, Austria
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Bois ST, Silander JA, Mehrhoff LJ. Invasive Plant Atlas of New England: The Role of Citizens in the Science of Invasive Alien Species Detection. Bioscience 2011. [DOI: 10.1525/bio.2011.61.10.6] [Citation(s) in RCA: 32] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
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Van Aelst S, Welsch R, Zamar RH. Special issue on variable selection and robust procedures. Comput Stat Data Anal 2010. [DOI: 10.1016/j.csda.2010.07.019] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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