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This is a translation of Harald Cram\'er's article, 'On a new limit theoremin probability theory', published in French in 1938 and deriving what isconsidered by mathematicians to be the first large deviation result. My hope isthat this translation will help disseminate this historically important work,80 years after its publication.

On a new limit theorem in probability theory (Translation of 'Sur un nouveau th\'eor\`eme-limite de la th\'eorie des probabilit\'es')