(This article was first published on Quantitative Ecology, and kindly contributed to R-bloggers)
To add an offset to the linear predictor of a generalized linear model (or models from the survival package such as coxph and clogit), use offset(x) in the formula. This will add an offset to the linear predictor with known coefficient 1.
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Zero Inflated Models and Generalized Linear Mixed Models with R.
Zuur, Saveliev, Ieno (2012).