Beginning in 1922, he taught courses in statistics, biometry, and demography at Bocconi University of Milan, and then at the University of Rome as Emeritus Professor. He was also a member of several academies and institutes in Italy and abroad, serving for several years as president of the International Statistical Institute. His scientific research was on both methodological and applied statistics, particularly on demography, anthropometry, and economics. As a statistician, he has been particularly interested to the foundations of the method, and he proposed a view of statistics as an empirical history of all the positive sciences.[clarification needed] To deepen these researches he founded a statistical Laboratory at the Catholic University of Milan. The results are widely discussed in the volumes, Statistica: Teoria e metodi (first edition, 1942), and Teoria della Statistica (1963), that have been studied by thousands of students. For Boldrini, Statistics is a formal science like mathematics and logic, but it is different from them as a scientific inquiry method in the inductive and deductive phases of research.
Beyond academic commitment, he also had several management positions in the state oil industry: he was first named president of Agip (1948–1953), was then vice-president of ENI (1953–1962), before succeeding Enrico Mattei as president in 1962, remaining in the post until 1967.
- Scientific Truth and Statistical Method, translated by Ruth Kendall, Griffin (1972) ISBN 0-8526-4197-4
- Biometrica, CEDAM (1927);
- Demografia, A. Giuffrè (1943);
- Statistica in Compendio, A. Giuffrè (1957)
- Teoria della Statistica, A. Giuffrè (1963).
- Statistica, Teoria e Metodi, A. Giuffrè (5th ed. 1968)
- Guerraggio, Angelo; Pietro Nastasi (2006). Italian Mathematics Between the Two World Wars. Springer. p. 154. ISBN 9783764375126.
- Amatori, Franco; Robert Millward, Pier Angelo Toninelli (2013). Reappraising State-Owned Enterprise: A Comparison of the UK and Italy. Routledge. p. 171. ISBN 9781136738302.
- Dechert, Charles Richard (1963). Ente Nazionale Idrocarburi: Profile of a State Corporation. E. J. Brill. p. viii. OCLC 6155960.