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Volumn 37, Issue 3, 2005, Pages 781-800

Central limit theorems for the number of records in discrete models

Author keywords

Central limit theorem; Extreme; Martingale; Record

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; POISSON DISTRIBUTION; STATISTICAL METHODS; THEOREM PROVING;

EID: 27144516900     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1127483747     Document Type: Article
Times cited : (16)

References (13)
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    • Ahsanullah, M.1
  • 3
    • 0032221886 scopus 로고    scopus 로고
    • Normal approximation of the number of records in geometrically distributed random variables
    • Bai, Z., Hwang, H. and Liang, W. (1998). Normal approximation of the number of records in geometrically distributed random variables. Random Structures Algorithms 13, 319-334.
    • (1998) Random Structures Algorithms , vol.13 , pp. 319-334
    • Bai, Z.1    Hwang, H.2    Liang, W.3
  • 4
    • 0008396195 scopus 로고
    • Valeurs extrémales d'échantillons croissants d'une variable aléatoire réelle
    • Deheuvels, P. (1974). Valeurs extrémales d'échantillons croissants d'une variable aléatoire réelle. Ann. Inst. H. Poincaré Sect. B 10, 89-114.
    • (1974) Ann. Inst. H. Poincaré Sect. B , vol.10 , pp. 89-114
    • Deheuvels, P.1
  • 6
    • 0029325565 scopus 로고
    • Mellin transforms and asymptotics: Finite differences and Rice's integrals
    • Flajolet, P. and Sedgewick, R. (1995). Mellin transforms and asymptotics: finite differences and Rice's integrals. Theoret. Comput. Sci. 144, 101-124.
    • (1995) Theoret. Comput. Sci. , vol.144 , pp. 101-124
    • Flajolet, P.1    Sedgewick, R.2
  • 7
    • 0035712506 scopus 로고    scopus 로고
    • A martingale approach to strong convergence of the number of records
    • Gouet, R., López, F. J. and San Miguel, M. (2001). A martingale approach to strong convergence of the number of records. Adv. Appl. Prob. 33, 864-873.
    • (2001) Adv. Appl. Prob. , vol.33 , pp. 864-873
    • Gouet, R.1    López, F.J.2    San Miguel, M.3
  • 9
    • 0010623541 scopus 로고    scopus 로고
    • (Transl. Math. Monogr.) American Mathematical Society, Providence, RI
    • Nevzorov, V. B. (2001). Records: Mathematical Theory (Transl. Math. Monogr. 194). American Mathematical Society, Providence, RI.
    • (2001) Records: Mathematical Theory , vol.194
    • Nevzorov, V.B.1
  • 10
    • 0001237445 scopus 로고    scopus 로고
    • Combinatorics of geometrically distributed random variables: Left-to-right maxima
    • Prodinger, H. (1996). Combinatorics of geometrically distributed random variables: left-to-right maxima. Discrete Math. 153, 253-270.
    • (1996) Discrete Math. , vol.153 , pp. 253-270
    • Prodinger, H.1
  • 11
    • 0025436383 scopus 로고
    • Skip lists: A probabilistic alternative to balanced trees
    • Pugh, W. (1990). Skip lists: a probabilistic alternative to balanced trees. Commun. ACM 32, 668-676.
    • (1990) Commun. ACM , vol.32 , pp. 668-676
    • Pugh, W.1
  • 12
    • 0039911091 scopus 로고
    • Théorie des éléments saillants d'une suite d'observations
    • Rényi, A. (1962). Théorie des éléments saillants d'une suite d'observations. Ann. Fac. Sci. Univ. Clermont-Ferrand 8, 7-13.
    • (1962) Ann. Fac. Sci. Univ. Clermont-Ferrand , vol.8 , pp. 7-13
    • Rényi, A.1
  • 13
    • 0001582966 scopus 로고
    • Limit theorems for records from discrete distributions
    • Vervaat, W. (1973). Limit theorems for records from discrete distributions. Stoch. Process. Appl. 1, 317-334.
    • (1973) Stoch. Process. Appl. , vol.1 , pp. 317-334
    • Vervaat, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.