Gnedenko was a leading member of the Russian school of probability theory and statistics. He also worked on applications of statistics to reliability and quality control in manufacturing.[1] He wrote a history of mathematics in Russia (published 1946), and with O. B. Sheynin the section on the history of probability theory in the history of mathematics by Kolmogorov and Adolph P. Yushkevich (published 1992). In 1958, he was a plenary speaker at the International Congress of Mathematicians in Edinburgh with a talk entitled "Limit theorems of probability theory".
Books
"Sur la distribution limite du terme maximum d'une série aléatoire". Annals of Mathematics: 423–453. 1943.
with A. N. Kolmogorov: Limit distributions for sums of independent random variables (trans. and annotated by K. L. Chung). 1954.[2]
with A. Ya. Khinchin: An elementary introduction to the theory of probability (trans. by Leo F. Boron). Mineola, N.Y.: Dover. 1962.
The theory of probability (trans. by George Yankovsky). Moscow: MIR. 1969.
with Yu. K. Belyayev and A. D. Solovyev: Mathematical methods of reliability theory (trans. by Scripta Technica; trans. ed. by Richard E. Barlow). NY: Academic Press. 1969.
with I. N. Kovalenko: Introduction to queueing theory (trans. by Samuel Kotz). Boston: Birkhauser. 1989.