He studied from 1947 at the Moscow State University, specializing in there under P. I. Kuznetsov on radio physics (a Soviet term for oscillation physics – including noise – in the broadest sense, but especially in the electromagnetic spectrum).
In 1956 he received his doctorate on the application of the theory of correlated random points to the calculation of electronic noise.
Here, the Stratonovich integral is named after him (at the same time developed by Donald Fisk).
He also solved the problem of optimal non-linear filtering based on his theory of conditional Markov processes, which was published in his papers in 1959 and 1960.
[1] The Hubbard-Stratonovich transformation in the theory of path integrals (or distribution functions of statistical mechanics) was introduced by him (and used by John Hubbard in solid state physics).