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arXiv 0801.1910math.HOmath.PR
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无穷可分分布的起源:从de Finetti问题到Levy-Khintchine公式

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

Francesco Mainardi, Sergei Rogosin

摘要:

本文提供了一个历史调查的早期贡献无穷可分分布开始的开拓性工作的de Finetti在1929年的标准形式发展在30年代的Kolmogorov,利维和欣钦。特别注意挑选出上述作者的个人贡献,在意大利,法国或俄罗斯在1929年至1938年期间出版。在附录中,我们报告翻译从俄罗斯到英语的基本文件欣钦发表在莫斯科于1937年。

英文摘要:

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

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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