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Volumn 52, Issue 3, 2000, Pages 415-425

Joint distribution of rises and falls

Author keywords

Eulerian and Simon Newcomb numbers; Finite Markov chain imbedding; Transition probability matrix

Indexed keywords


EID: 6744237814     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004148814661     Document Type: Article
Times cited : (7)

References (15)
  • 1
    • 0009406540 scopus 로고
    • Extended Bernoulli and Eulerian numbers
    • Carlitz, L. (1964). Extended Bernoulli and Eulerian numbers, Duke Math. J., 31, 667-690.
    • (1964) Duke Math. J. , vol.31 , pp. 667-690
    • Carlitz, L.1
  • 2
    • 84972547689 scopus 로고
    • Enumeration of sequences by rises and falls: A refinement of the Simon Newcomb problem
    • Carlitz, L. (1972). Enumeration of sequences by rises and falls: A refinement of the Simon Newcomb problem, Duke Math. J., 39, 267-280.
    • (1972) Duke Math. J. , vol.39 , pp. 267-280
    • Carlitz, L.1
  • 3
    • 0009311774 scopus 로고
    • Permutations and sequences
    • Carlitz, L. (1974). Permutations and sequences, Adv. Math., 14, 92-120.
    • (1974) Adv. Math. , vol.14 , pp. 92-120
    • Carlitz, L.1
  • 6
    • 0000807102 scopus 로고
    • Exact and limiting distribution of the number of successions in a random permutations
    • Fu, J. C. (1995). Exact and limiting distribution of the number of successions in a random permutations, Ann. Inst. Statist. Math., 47, 435-446.
    • (1995) Ann. Inst. Statist. Math. , vol.47 , pp. 435-446
    • Fu, J.C.1
  • 7
    • 84950460234 scopus 로고
    • Distribution theory of runs: A Markov chain approach
    • Fu, J. C. and Koutras, M. V. (1994). Distribution theory of runs: a Markov chain approach, J. Amer. Statist. Assoc., 89, 1050-1058.
    • (1994) J. Amer. Statist. Assoc. , vol.89 , pp. 1050-1058
    • Fu, J.C.1    Koutras, M.V.2
  • 8
    • 0033115491 scopus 로고    scopus 로고
    • On exact distributions of Eulerian and Simon Newcomb numbers associated with random permutations
    • Fu, J. C., Lou, W. Y. W. and Wang, Y. J. (1998). On exact distributions of Eulerian and Simon Newcomb numbers associated with random permutations, Statist. Probab. Lett., 42, 115-125.
    • (1998) Statist. Probab. Lett. , vol.42 , pp. 115-125
    • Fu, J.C.1    Lou, W.Y.W.2    Wang, Y.J.3
  • 10
    • 38149148237 scopus 로고
    • A generalization of the Eulerian numbers with a probabilistic application
    • Harris, B. and Park, C. J. (1994). A generalization of the Eulerian numbers with a probabilistic application, Statist. Probab. Lett., 20, 37-47.
    • (1994) Statist. Probab. Lett. , vol.20 , pp. 37-47
    • Harris, B.1    Park, C.J.2
  • 12
    • 0009371382 scopus 로고
    • An integral representation for Eulerian numbers
    • Nicolas, J. L. (1992). An integral representation for Eulerian numbers, Colloq. Math. Soc. János Bolyai, 60, 513-527.
    • (1992) Colloq. Math. Soc. János Bolyai , vol.60 , pp. 513-527
    • Nicolas, J.L.1
  • 14
    • 0009410668 scopus 로고
    • A generalization of the Eulerian numbers
    • Takacs, L. (1979). A generalization of the Eulerian numbers, Publ. Math. Debrecen, 26, 173-181.
    • (1979) Publ. Math. Debrecen , vol.26 , pp. 173-181
    • Takacs, L.1
  • 15
    • 84972547880 scopus 로고
    • A probabilistic interpretation of Eulerian numbers
    • Tanny, S. (1973). A probabilistic interpretation of Eulerian numbers. Duke Math. J., 40, 717-722.
    • (1973) Duke Math. J. , vol.40 , pp. 717-722
    • Tanny, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.