\input zb-basic
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\iteman{io-port 06043856}
\itemau{Desmond, A.F.; Gonz\'alez, Carlos L.C{\'\i}ntora; Singh, R.S.; Lu, Xuewen}
\itemti{A mixed effects log-linear model based on the Birnbaum-Saunders distribution.}
\itemso{Comput. Stat. Data Anal. 56, No. 2, 399-407 (2012).}
\itemab
Summary: In lifetime data analysis and particularly in engineering reliability contexts, the Birnbaum -- Saunders (BISA) density is often suggested as a suitable model; see Birnbaum and Saunders (1969), Mann et al. (1974), and Desmond (1985). A linear regression model, obtained from a logarithmic transformation of the response variable, is useful in studying the effect of covariates on the response variable; see Rieck and Nedelman (1991), Tsionas (2001) and Galea et al. (2004). In this paper, an extension of the log-linear regression model of Rieck and Nedelman (1991), which considers random effects, is introduced. From a Monte Carlo simulation study, the performance of various estimation and prediction methods are studied. The usefulness of the mixed log-linear model is stressed and compared to the pure fixed effects log-linear regression BISA model. The new model is used to analyze a real data set, for which a fixed effects model is inappropriate.
\itemrv{~}
\itemcc{}
\itemut{Birnbaum-Saunders distribution; log-linear; mixed effects; regression; reliability}
\itemli{doi:10.1016/j.csda.2011.07.017}
\end