A log-linear regression model for the beta-Birnbaum-Saunders distribution with censored data
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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| Data(s) |
01/11/2013
01/11/2013
2012
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| Resumo |
The beta-Birnbaum-Saunders (Cordeiro and Lemonte, 2011) and Birnbaum-Saunders (Birnbaum and Saunders, 1969a) distributions have been used quite effectively to model failure times for materials subject to fatigue and lifetime data. We define the log-beta-Birnbaum-Saunders distribution by the logarithm of the beta-Birnbaum-Saunders distribution. Explicit expressions for its generating function and moments are derived. We propose a new log-beta-Birnbaum-Saunders regression model that can be applied to censored data and be used more effectively in survival analysis. We obtain the maximum likelihood estimates of the model parameters for censored data and investigate influence diagnostics. The new location-scale regression model is modified for the possibility that long-term survivors may be presented in the data. Its usefulness is illustrated by means of two real data sets. (C) 2011 Elsevier B.V. All rights reserved. CNPq CNPq FAPESP (Brazil) FAPESP (Brazil) |
| Identificador |
COMPUTATIONAL STATISTICS & DATA ANALYSIS, AMSTERDAM, v. 56, n. 3, supl. 1, Part 6, pp. 698-718, 36951, 2012 0167-9473 http://www.producao.usp.br/handle/BDPI/37500 10.1016/j.csda.2011.09.018 |
| Idioma(s) |
eng |
| Publicador |
ELSEVIER SCIENCE BV AMSTERDAM |
| Relação |
COMPUTATIONAL STATISTICS & DATA ANALYSIS |
| Direitos |
closedAccess Copyright ELSEVIER SCIENCE BV |
| Palavras-Chave | #BIRNBAUM-SAUNDERS DISTRIBUTION #CENSORED DATA #CURE FRACTION #GENERATING FUNCTION #LIFETIME DATA #MAXIMUM LIKELIHOOD ESTIMATION #REGRESSION MODEL #LOCAL INFLUENCE #SURVIVAL-DATA #LIFE DISTRIBUTIONS #INFLUENCE DIAGNOSTICS #RESIDUAL ANALYSIS #CURED FRACTION #MIXTURE MODEL #LIKELIHOOD #INFERENCE #FAMILY #COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS #STATISTICS & PROBABILITY |
| Tipo |
article original article publishedVersion |
