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The article provides an historical survey of the early contributions oninfinitely divisible distributions starting from the pioneering works of deFinetti in 1929 up to the canonical forms developed in the thirties byKolmogorov, Levy and Khintchine. Particular attention is paid to single out thepersonal contributions of the above authors that were published in Italian,French or Russian during the period 1929-1938. In Appendix we report thetranslation from the Russian into English of a fundamental paper by Khintchinepublished in Moscow in 1937.

The origin of infinitely divisible distributions: from de Finetti's problem to Levy-Khintchine formula