The present invention is a moisture-crosslinkable polymeric composition comprising (a) a silane-functionalized olefinic polymer, (b) an acidic silanol condensation catalyst, and (c) a secondary-amine-containing antioxidant composition. The antioxidant composition can be (1) a secondary amine substituted with two aromatic groups or (2) a combination of a first antioxidant and a secondary amine antioxidant substituted with at least one aromatic group. The moisture-crosslinkable polymeric compositions can be used for making fibers, films, pipes, foams, and coatings. Notably, the compositions may be applied as a coating over a wire or a cable.