Signed likelihood ratio tests in the Birnbaum-Saunders regression model


Autoria(s): LEMONTE, Artur J.; FERRARI, Silvia L. P.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2011

Resumo

The Birnbaum-Saunders regression model is becoming increasingly popular in lifetime analyses and reliability studies. In this model, the signed likelihood ratio statistic provides the basis for testing inference and construction of confidence limits for a single parameter of interest. We focus on the small sample case, where the standard normal distribution gives a poor approximation to the true distribution of the statistic. We derive three adjusted signed likelihood ratio statistics that lead to very accurate inference even for very small samples. Two empirical applications are presented. (C) 2010 Elsevier B.V. All rights reserved.

FAPESP

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

CNPq (Brazil)

Identificador

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, v.141, n.2, p.1031-1040, 2011

0378-3758

http://producao.usp.br/handle/BDPI/30447

10.1016/j.jspi.2010.09.007

http://dx.doi.org/10.1016/j.jspi.2010.09.007

Idioma(s)

eng

Publicador

ELSEVIER SCIENCE BV

Relação

Journal of Statistical Planning and Inference

Direitos

restrictedAccess

Copyright ELSEVIER SCIENCE BV

Palavras-Chave #Birnbaum-Saunders distribution #Fatigue life distribution #Lifetime data #Maximum likelihood estimation #Monte Carlo simulations #Signed likelihood ratio test #Small sample asymptotics #LIFE DISTRIBUTIONS #INTERVAL ESTIMATION #INFERENCE #ASYMPTOTICS #FAMILY #Statistics & Probability
Tipo

article

original article

publishedVersion