1) By stochastic means 
[adv] - by stochastic means
stochastically 1. A reference to involving or showing random behavior. 2. Characterized by being involved or subject to probabilistic behavior. 3. Involving guesswork or conjecture; random; involving random or unpredictable values. 4. Relating to being susceptible to random influences and; therefore, subject to the laws of probability; the oppos...
adverb by stochastic means; `we estimated the answer stochastically`