He wrote two articles which cover his inequalities, the 1935 article bonferroni35 is directed to a specific application, life assurance, whereas the 1936 article bonferroni36 is more abstract. Note that many sources cite both of these as having been published in 1936, but this is an error caused, I believe, by following secondary sources rather than reading the originals.

His articles are more of a contribution to probability theory than to simultaneous statistical inference, and the reader in search of a convenient refernce for such use might prefer the textbook by Miller miller66. A contrasting view of the value of adjustment in multiple comparisons can be found in an article by Perneger perneger98. As usual in statistics the name can be considered inappropriate (an example of Stigler's law stigler80) as the usual statistical simultaneous inference relies only on Boole's inequality seneta93.

Apart from these he also had interests in the foundations of probability. Two relevant articles are an inaugural lecture bonferroni27 and a more formal article published earlier, but written about the same time bonferroni24. He developed a strongly frequentist view of probability denying that subjectivist views can even be the subject of mathematical probability.

One interesting fact about him is that he produced his own textbooks by handwriting the text (example about 68k) as he believed that books were too expensive for students to buy.

C Benedetti.
Carlo Emilio Bonferroni (1892-1960).
* Metron*, 40(3-4):2-36, 1982.

C E Bonferroni.
Intorno al concetto di probabilità.
* Giornale di Matematica Finanziara*, 6:105-133, 1924.
The article itself is dated December 1925.

C E Bonferroni.
Teoria e probabilità.
In * Annuario d*el R Istituto Superiore di Scienze Economiche
e Commerciali di Bari per L'anno Accademico 1925-1926, pages 15-46.
Bari, 1927.
Given as the inaugural lecture for the academic year 1925-1926 on
November 22, 1925.

C E Bonferroni.
Il calcolo delle assicurazioni su gruppi di teste.
In * Studi in Onore del Professore Salvatore Ortu Carboni*, pages
13-60. Rome, 1935.

C E Bonferroni.
Teoria statistica delle classi e calcolo delle probabilità.
* Pubblicazioni del R Istituto Superiore di Scienze Economiche e
Commerciali di Firenze*, 8:3-62, 1936.

B de Finetti.
Commemorazione del Prof. C. E. Bonferroni.
* Giornale di Matematica Finanziaria*, 46:5-24, 1964.

M E Dewey.
Bonferroni, Carlo Emilio.
In P Armitage and T Colton, editors, * Encyclopaedia of
Biostatistics*, pages 420-421. Wiley, Chichester, 1998.

R G Miller.
* Simultaneous statistical inference*.
McGraw Hill, New York, 1966.
Second edition published by Springer Verlag, 1981.

P Pagni.
Carlo Emilio Bonferroni.
* Bollettino dell'Unione Matematica Italiana*, 15:570-574, 1960.

T V Perneger.
What's wrong with Bonferroni adjustments.
* British Medical Journal*, 316:1236-1238, 1998.

E Seneta.
Probability inequalities and Dunnett's test.
In F M Hoppe, editor, * Multiple Comparisons, Selections and*
Applications in Biometry, chapter 3, pages 29-45. Marcel Dekker, New
York, 1993.

S M Stigler.
Stigler's law of eponymy.
* Transactions of the New York Academy of Sciences*, 39:147-157,
1980.