WordNet records no synonym and no antonym for stochastic process. It is the only member of its synset, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
a statistical process involving a number of random variables depending on a variable parameter (which is usually time)
Synonyms, antonyms and the broader and narrower relations for stochastic process come from Princeton University’s WordNet. Full sources and licences.