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Volumn 34, Issue 5, 2006, Pages 1807-1826

Rounding of continuous random variables and oscillatory asymptotics

Author keywords

Characteristic function; Digital search tree; Gumbel distribution; Moments; Patricia trie; Random assignment; Sheppard's correction

Indexed keywords


EID: 33845481641     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/009117906000000232     Document Type: Article
Times cited : (24)

References (26)
  • 1
    • 0035626635 scopus 로고    scopus 로고
    • The ζ(2) limit in the random assignment problem
    • MR1839499
    • ALDOUS, D. (2001). The ζ(2) limit in the random assignment problem. Random Structures Algorithms 18 381-418. MR1839499
    • (2001) Random Structures Algorithms , vol.18 , pp. 381-418
    • Aldous, D.1
  • 2
    • 33747765834 scopus 로고    scopus 로고
    • The number of distinct values in a geometrically distributed sample
    • ARCHIBALD, M., KNOPFMACHER, A. and PRODINGER, H. (2006). The number of distinct values in a geometrically distributed sample. European J. Combin. 27 1059-1081.
    • (2006) European J. Combin. , vol.27 , pp. 1059-1081
    • Archibald, M.1    Knopfmacher, A.2    Prodinger, H.3
  • 4
    • 33845498688 scopus 로고
    • The fundamental nature and proof of Sheppard's adjustments
    • CARVER, H. C. (1936). The fundamental nature and proof of Sheppard's adjustments. Ann. Math. Statist. 7 154-163.
    • (1936) Ann. Math. Statist. , vol.7 , pp. 154-163
    • Carver, H.C.1
  • 5
    • 84972537451 scopus 로고
    • A note on Sheppard's corrections
    • MR0005555
    • CRAIG, C. C. (1941). A note on Sheppard's corrections. Ann. Math. Statist. 12 339-345. MR0005555
    • (1941) Ann. Math. Statist. , vol.12 , pp. 339-345
    • Craig, C.C.1
  • 7
    • 0021513579 scopus 로고
    • A probabilistic analysis of the height of tries and of the complexity of triesort
    • MR0769900
    • DEVROYE, L. (1984). A probabilistic analysis of the height of tries and of the complexity of triesort. Acta Inform. 21 229-237. MR0769900
    • (1984) Acta Inform. , vol.21 , pp. 229-237
    • Devroye, L.1
  • 8
    • 0021789020 scopus 로고
    • Approximate counting: A detailed analysis
    • MR0785808
    • FLAJOLET, P. (1985). Approximate counting: A detailed analysis. BIT 25 113-134. MR0785808
    • (1985) BIT , vol.25 , pp. 113-134
    • Flajolet, P.1
  • 9
    • 0035539871 scopus 로고    scopus 로고
    • Distinctness of compositions of an integer: A probabilistic analysis
    • MR1871561
    • HITCZENKO, P. and LOUCHARD, G. (2001). Distinctness of compositions of an integer: A probabilistic analysis. Random Structures Algorithms 19 407-437. MR1871561
    • (2001) Random Structures Algorithms , vol.19 , pp. 407-437
    • Hitczenko, P.1    Louchard, G.2
  • 10
    • 0001187704 scopus 로고    scopus 로고
    • Measures of distinctness for random partitions and compositions of an integer
    • MR1469312
    • HWANG, H.-K. and YEH, Y.-N. (1997). Measures of distinctness for random partitions and compositions of an integer. Adv. in Appl. Math. 19 378-414. MR1469312
    • (1997) Adv. in Appl. Math. , vol.19 , pp. 378-414
    • Hwang, H.-K.1    Yeh, Y.-N.2
  • 11
    • 0010529060 scopus 로고    scopus 로고
    • Analysis of an asymmetric leader election algorithm
    • MR1464071
    • JANSON, S. and SZPANKOWSKI, W. (1997). Analysis of an asymmetric leader election algorithm. Electronic J. Combin. 4 R17. MR1464071
    • (1997) Electronic J. Combin. , vol.4
    • Janson, S.1    Szpankowski, W.2
  • 14
    • 33845496805 scopus 로고
    • Semi-invariants and Sheppard's correction
    • MR 1502937
    • LANGDON, W. H. and ORE, O. (1930). Semi-invariants and Sheppard's correction. Ann. Math. 31 230-232. MR 1502937
    • (1930) Ann. Math. , vol.31 , pp. 230-232
    • Langdon, W.H.1    Ore, O.2
  • 16
    • 0000909063 scopus 로고
    • Exact and asymptotic distributions in digital and binary search trees
    • MR0928772
    • LOUCHARD, G. (1987). Exact and asymptotic distributions in digital and binary search trees. RAIRO Inform. Théor. Appl. 21 479-495. MR0928772
    • (1987) RAIRO Inform. Théor. Appl. , vol.21 , pp. 479-495
    • Louchard, G.1
  • 17
    • 33845512140 scopus 로고    scopus 로고
    • The moments problem of extreme-value related distribution functions
    • To appear
    • LOUCHARD, G. and PRODINGER, H. (2006). The moments problem of extreme-value related distribution functions. Algorithmica. To appear.
    • (2006) Algorithmica
    • Louchard, G.1    Prodinger, H.2
  • 19
    • 3142637251 scopus 로고    scopus 로고
    • Random assignment with integer costs
    • MR2034305
    • PARVIAINEN, R. (2004). Random assignment with integer costs. Combin. Probab. Comput. 13 103-113. MR2034305
    • (2004) Combin. Probab. Comput. , vol.13 , pp. 103-113
    • Parviainen, R.1
  • 20
    • 0000969513 scopus 로고
    • Paths in a random digital tree: Limiting distributions
    • MR0827333
    • PITTEL, B. (1986). Paths in a random digital tree: Limiting distributions. Adv. in Appl. Probab. 18 139-155. MR0827333
    • (1986) Adv. in Appl. Probab. , vol.18 , pp. 139-155
    • Pittel, B.1
  • 21
    • 0026879978 scopus 로고
    • Hypothetic analyses: Approximate counting in the style of Knuth, path length in the style of Flajolet
    • MR1171442
    • PRODINGER, H. (1992). Hypothetic analyses: Approximate counting in the style of Knuth, path length in the style of Flajolet. Theor. Comput. Sci. 100 243-251. MR1171442
    • (1992) Theor. Comput. Sci. , vol.100 , pp. 243-251
    • Prodinger, H.1
  • 23
    • 0000424839 scopus 로고
    • Limiting distribution for the depth in Patricia tries
    • MR1215228
    • RAIS, B., JACQUET, P. and SZPANKOWSKI, W. (1993). Limiting distribution for the depth in PATRICIA tries. SIAM J. Discrete Math. 6 197-213. MR1215228
    • (1993) SIAM J. Discrete Math. , vol.6 , pp. 197-213
    • Rais, B.1    Jacquet, P.2    Szpankowski, W.3
  • 24
    • 84960586939 scopus 로고
    • On the calculation of the most probable values of frequency-constants for data arranged according to equidistant divisions of a scale
    • SHEPPARD, W. F. (1898). On the calculation of the most probable values of frequency-constants for data arranged according to equidistant divisions of a scale. Proc. London Math. Soc. 29 353-380.
    • (1898) Proc. London Math. Soc. , vol.29 , pp. 353-380
    • Sheppard, W.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.