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A generalization of the Eulerian numbers with a probabilistic application

  • Published:1994-05 Issue:1 Volume:20 Page:37-47
  • ISSN:0167-7152
  • Container-title:Statistics & Probability Letters
  • language:en
  • Short-container-title:Statistics & Probability Letters

Author:

Harris Bernard,Park C.J.

Publisher

Elsevier BV

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference26 articles.

1. Mémoire sur les inversions élémentaires des permutations;André;Mem. della Pontifica Accad. Romana dei Nuovo Lincei,1906

2. Note on a paper of Shanks;Carlitz;Amer. Math. Monthly,1952

3. Eulerian numbers and polynomials;Carlitz;Math. Mag.,1959

4. Eulerian numbers and polynomials of higher order;Carlitz;Duke Math. J.,1960

5. A note on the Eulerian numbers;Carlitz;Arch. Math.,1963

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Triangular recurrences, generalized Eulerian numbers, and related number triangles;Advances in Applied Mathematics;2023-05

2. On Distribution of the Number of Peaks and the Euler Numbers of Permutations;Methodology and Computing in Applied Probability;2023-03-18

3. An asymptotic distribution theory for Eulerian recurrences with applications;Advances in Applied Mathematics;2020-01

4. Distribution of Number of Levels in an $$[\varvec{s}]$$-Specified Random Permutation;Pioneering Works on Distribution Theory;2020

5. Some identities of Eulerian polynomials arising from nonlinear differential equations;Iranian Journal of Science and Technology, Transactions A: Science;2016-08-18
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