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de Freitas JVB, Nobre JS, Bourguignon M, Santos-Neto M. A new approach to modeling positive random variables with repeated measures. J Appl Stat 2021; 49:3784-3803. [DOI: 10.1080/02664763.2021.1963422] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- João Victor B. de Freitas
- Departamento de Estatística, Instituto de Matemática, Estatística e Computação Científica, Universidade Estadual de Campinas, Campinas, Brazil
| | - Juvêncio S. Nobre
- Departamento de Estatística e Matemática Aplicada, Universidade Federal do Ceará, Fortaleza, Brazil
| | - Marcelo Bourguignon
- Departamento de Estatística, Universidade Federal do Rio Grande do Norte, Natal, Brazil
| | - Manoel Santos-Neto
- Departamento de Estatística, Universidade Federal de Campina Grande, Campina Grande, Brazil
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Local Influence Analysis for Quasi-Likelihood Nonlinear Models with Random Effects. JOURNAL OF PROBABILITY AND STATISTICS 2018. [DOI: 10.1155/2018/4878925] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
Abstract
We propose a quasi-likelihood nonlinear model with random effects, which is a hybrid extension of quasi-likelihood nonlinear models and generalized linear mixed models. It includes a wide class of existing models as examples. A novel penalized quasi-likelihood estimation method is introduced. Based on the Laplace approximation and a penalized quasi-likelihood displacement, local influence of minor perturbations on the data set is investigated for the proposed model. Four concrete perturbation schemes are considered in the local influence analysis. The effectiveness of the proposed methodology is illustrated by some numerical examinations on a pharmacokinetics dataset.
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Ortega EMM, Cordeiro GM, Campelo AK, Kattan MW, Cancho VG. A power series beta Weibull regression model for predicting breast carcinoma. Stat Med 2015; 34:1366-88. [DOI: 10.1002/sim.6416] [Citation(s) in RCA: 31] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/04/2013] [Revised: 11/10/2014] [Accepted: 12/17/2014] [Indexed: 11/08/2022]
Affiliation(s)
- Edwin M. M. Ortega
- Department of Exact Sciences; University of São Paulo; Piracicaba Brazil
| | - Gauss M. Cordeiro
- Department of Statistics; Federal University of Pernambuco; Recife Brazil
| | - Ana K. Campelo
- Department of Economics; Federal University of Pernambuco; Recife Brazil
| | - Michael W. Kattan
- Department of Quantitative Health SciencesCleveland Clinic; Cleveland OH U.S.A
| | - Vicente G. Cancho
- Department of Applied Mathematics and Statistics; University of São Paulo; São Carlos Brazil
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Pardo MDC, Hobza T. Outlier detection method in GEEs. Biom J 2014; 56:838-50. [DOI: 10.1002/bimj.201300149] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/26/2013] [Revised: 12/05/2013] [Accepted: 12/23/2013] [Indexed: 11/09/2022]
Affiliation(s)
- María del Carmen Pardo
- Department of Statistics and O.R. (I); Faculty of Mathematics, Complutense University of Madrid; E-28040 Madrid Spain
| | - Tomáš Hobza
- Department of Mathematics; Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague; Trojanova 13 120 00 Prague 2 Czech Republic
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Pardo MC, Alonso R. Influence measures based on the volume of confidence ellipsoids for GEE. Biom J 2012; 54:552-67. [DOI: 10.1002/bimj.201100150] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/08/2011] [Revised: 01/26/2012] [Accepted: 02/03/2012] [Indexed: 11/10/2022]
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Generalized estimating equations and regression diagnostics for longitudinal controlled clinical trials: A case study. Comput Stat Data Anal 2012. [DOI: 10.1016/j.csda.2011.04.010] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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Ortega EMM, Cordeiro GM, Hashimoto EM. A Log-Linear Regression Model for the Beta-Weibull Distribution. COMMUN STAT-SIMUL C 2011. [DOI: 10.1080/03610918.2011.568150] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Ortega EMM, Cordeiro GM, Carrasco JMF. The log-generalized modified Weibull regression model. BRAZ J PROBAB STAT 2011. [DOI: 10.1214/09-bjps110] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Hattori S, Kato M. Approximate subject-deletion influence diagnostics for Inverse Probability of Censoring Weighted (IPCW) method. Stat Probab Lett 2009. [DOI: 10.1016/j.spl.2009.05.013] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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