Carlo Emilio Bonferroni was an Italian mathematician, who is known in the field of statistical simultaneous inference for the so-called Bonferroni inequalities that Bonferroni described in his book Teoria Statistica Delle Classi e Calcolo Delle Probabilità [Statistical Class Theory and Calculation of Probability]. This work has made significant contributions to probability theory and statistical inference.

The book, divided into three sections, is a systematic study of probability theory and its applications on set (class) theory. In the introduction, Bonferroni states that the probability of an event is a primitive physic magnitude that does not have a definition; however, it is possible to explain it in some postulate or axiom. The classical postulate assumes that if an event is separated by other incompatible, complementary, and equally possible ...