Intervalos de Confiança para os Parâmetros do Modelo Geométrico com Inflação de Zeros
DOI:
https://doi.org/10.5540/tema.2013.013.03.0247Abstract
Neste trabalho propomos a utilização do modelo Geométrico com inflação de zeros (ZIG), que é uma generalização do modelo Geométrico, na análise de dados de sobrevivência e confiabilidade. O uso do modelo ZIG se faz necessário principalmente quando os dados apresentam um número excessivo de zeros. Estimativas de máxima verosimilhança dos parâmetros do modelo foram obtidas, assim como seus intervalos de confiança baseados na teoria assintótica. Ademais, usaremos a técnica de reamostragem bootstrap com o objetivo de verificar a normalidade dos estimadores de máxima verossimilhança. A técnica bootstrap também foi utilizada como um procedimento alternativo adequado para construção dos intervalos de confiança dos parâmetros do modelo ZIG.References
C.G. Carrasco, F. Louzada-Neto, Estimação intervalar para os parâmetros do modelo poly-log-logístico, Rev. Mat. Estat., 21, No. 1 (2003), 85--95.
A.C. Cohen, Estimation of mixtures of discrete distributions. em "Proceedings of the International Symposium on Discrete Distributions", pp. 373-378, Montreal, Quebec, 1963.
A.C. Davison, D. V. Hinkley "Bootstrap Methods and their Application'", Cambrige: Cambrige University Press, 1997.
R Development Core Team (2011). R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0, URL http://www.R-project.org/.
B. Efron, Bootstrap methods: another look at the jacknife, em Annals of Statistics}, 7, (1979), 1--26.
S.L. Jeng, W.Q. Meeker, Comparisons of approximate confidence interval procedures for type I censored data, Technometrics, 42 (1999), 135-148.
N. Jonhson, S. Kotz, A. W. Kemp "Univariate Discrete Distributions'', Wiley, New York, 1992.
N.L. Jonhson, S. Kotz, A.W. Kemp, "Discrete Distributions: Distributions in Statistics". John Wiley and Sons, New York, 1969.
J. F. Lawless, "Statistical Models and Methods for Lifetime Data'', Wiley, New York, 1982.
E.Y. Nakano, C.G. Carrasco, Uma avaliação do Uso de um Modelo Contínuo na Análise de Dados Discretos de Sobrevivência, TEMA -- Tend. Mat. Apl. Comput., 7, No. 1 (2006), 91--100.
F. Louzada-Neto, G.C. Perdoná, C.G. Carrasco, The Bi-log-logistic Model - A comparison study of some approximate confidence interval procedures, JSTA - Journal of Statistical Theory and Applications, 8, No.4 (2009), 478-492.
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish in this journal agree to the following terms:
Authors retain copyright and grant the journal the right of first publication, with the work simultaneously licensed under the Creative Commons Attribution License that allows the sharing of the work with acknowledgment of authorship and initial publication in this journal.
Authors are authorized to assume additional contracts separately, for non-exclusive distribution of the version of the work published in this journal (eg, publish in an institutional repository or as a book chapter), with acknowledgment of authorship and initial publication in this journal.
Authors are allowed and encouraged to publish and distribute their work online (eg, in institutional repositories or on their personal page) at any point before or during the editorial process, as this can generate productive changes as well as increase impact and the citation of the published work (See The effect of open access).
This is an open access journal which means that all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles, or use them for any other lawful purpose, without asking prior permission from the publisher or the
author. This is in accordance with the BOAI definition of open access
Intellectual Property
All the contents of this journal, except where otherwise noted, is licensed under a Creative Commons Attribution License under attribution BY.
