These are generic functions for computing, respectively, the AICc (second-order corrected Akaike Information Criterion) and CAIC (consistent Akaike Information Criterion).
AICc(object, ...)CAIC(object, ...)
an object for which an appropriate AICc or CAIC method exists.
possible additional arguments for methods.
Burnham, K. P., and Anderson, D. R. (1998) Model Selection and Inference: A Practical Information-Theoretical Approach. Springer.
Bozdogan, H. (1987) Model selection and Akaike's information criterion (AIC). Psychometrika bold52, 345--370.