Bartlett corrections in Birnbaum-Saunders nonlinear regression models


Autoria(s): Lemonte, Artur J.; Cordeiro, Gauss M.; Moreno, German
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

01/11/2013

01/11/2013

2012

Resumo

Lemonte and Cordeiro [Birnbaum-Saunders nonlinear regression models, Comput. Stat. Data Anal. 53 (2009), pp. 4441-4452] introduced a class of Birnbaum-Saunders (BS) nonlinear regression models potentially useful in lifetime data analysis. We give a general matrix Bartlett correction formula to improve the likelihood ratio (LR) tests in these models. The formula is simple enough to be used analytically to obtain several closed-form expressions in special cases. Our results generalize those in Lemonte et al. [Improved likelihood inference in Birnbaum-Saunders regressions, Comput. Stat. DataAnal. 54 (2010), pp. 1307-1316], which hold only for the BS linear regression models. We consider Monte Carlo simulations to show that the corrected tests work better than the usual LR tests.

FAPESP

FAPESP

CNPq (Brazil)

CNPq (Brazil)

Universidad Industrial de Santander (Colombia)

Universidad Industrial de Santander (Colombia)

Identificador

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, ABINGDON, v. 82, n. 6, supl. 4, Part 1-2, pp. 927-935, FEB-APR, 2012

0094-9655

http://www.producao.usp.br/handle/BDPI/37228

10.1080/00949655.2011.561802

http://dx.doi.org/10.1080/00949655.2011.561802

Idioma(s)

eng

Publicador

TAYLOR & FRANCIS LTD

ABINGDON

Relação

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION

Direitos

restrictedAccess

Copyright TAYLOR & FRANCIS LTD

Palavras-Chave #BARTLETT CORRECTION #BIRNBAUM-SAUNDERS DISTRIBUTION #LIFETIME DATA #MAXIMUM LIKELIHOOD ESTIMATION #NONLINEAR REGRESSION #LIKELIHOOD RATIO TESTS #TEST STATISTICS #LINEAR-MODEL #INFERENCE #COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS #STATISTICS & PROBABILITY
Tipo

article

original article

publishedVersion