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Probabilistic proofs of relations with Stirling numbers of the first kind by Dirichlet process

Author

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  • Yamato, Hajime

Abstract

The polynomial with Stirling numbers of the first kind as coefficients is equal to the falling factorial and the one with the absolute numbers to the rising factorial. Proofs of these equalities are given using Dirichlet processes.

Suggested Citation

  • Yamato, Hajime, 1990. "Probabilistic proofs of relations with Stirling numbers of the first kind by Dirichlet process," Statistics & Probability Letters, Elsevier, vol. 10(3), pages 189-192, August.
    • Handle: RePEc:eee:stapro:v:10:y:1990:i:3:p:189-192
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