Démonstration élémentaire d'une proposition générale de la théorie des probabilités.

@article{TchebichefDmonstrationD,
  title={D{\'e}monstration {\'e}l{\'e}mentaire d'une proposition g{\'e}n{\'e}rale de la th{\'e}orie des probabilit{\'e}s.},
  author={P. Tchebichef},
  journal={Journal f{\"u}r die reine und angewandte Mathematik (Crelles Journal)},
  volume={1846},
  pages={259 - 267}
}
  • P. Tchebichef
  • Mathematics
  • Journal für die reine und angewandte Mathematik (Crelles Journal)

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References

  • Game‐Theoretic Foundations for Probability and Finance
  • 2019

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