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Volumn 6, Issue 4, 1996, Pages 1260-1283

On the distribution for the duration of a randomized leader election algorithm

Author keywords

Asymptotic distribution; de Poissonization; Distributed computing; Height; Leader election; Poissonization; Random trees; Tries

Indexed keywords


EID: 0030364144     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1035463332     Document Type: Article
Times cited : (52)

References (37)
  • 3
    • 0002583662 scopus 로고
    • Extreme value theory for a class of discrete distributions with applications to some stochastic processes
    • ANDERSON, C. (1970). Extreme value theory for a class of discrete distributions with applications to some stochastic processes. J. Appl. Probab. 7 99-113.
    • (1970) J. Appl. Probab. , vol.7 , pp. 99-113
    • Anderson, C.1
  • 4
    • 0001773838 scopus 로고
    • Independent processes approximations for random combinatorial structures
    • ARRATIA, R. and TAVARÉ, S. (1994). Independent processes approximations for random combinatorial structures. Adv. in Math. 104 90-154.
    • (1994) Adv. in Math. , vol.104 , pp. 90-154
    • Arratia, R.1    Tavaré, S.2
  • 9
    • 0000586920 scopus 로고
    • A study of trie-like structures under the density model
    • DEVROYE, L. (1992). A study of trie-like structures under the density model. Ann. Appl. Probab. 2 402-434.
    • (1992) Ann. Appl. Probab. , vol.2 , pp. 402-434
    • Devroye, L.1
  • 11
    • 0020893165 scopus 로고
    • On the performance evaluation of extendable hashing and trie search
    • FLAJOLET, P. (1983). On the performance evaluation of extendable hashing and trie search. Acta Inform. 20 345-369.
    • (1983) Acta Inform. , vol.20 , pp. 345-369
    • Flajolet, P.1
  • 12
    • 0029326388 scopus 로고
    • Mellin transforms and asymptotics: Harmonic sums
    • FLAJOLET, P., GOURDON, X. and DUMAS, P. (1995). Mellin transforms and asymptotics: harmonic sums. Theoret. Comput. Sci. 144 3-58.
    • (1995) Theoret. Comput. Sci. , vol.144 , pp. 3-58
    • Flajolet, P.1    Gourdon, X.2    Dumas, P.3
  • 13
    • 0020828424 scopus 로고
    • Probabilistic counting algorithms for data base applications
    • FLAJOLET, P. and MARTIN, G. (1985). Probabilistic counting algorithms for data base applications. J. Comput. System Sci. 31 182-209.
    • (1985) J. Comput. System Sci. , vol.31 , pp. 182-209
    • Flajolet, P.1    Martin, G.2
  • 14
    • 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
  • 16
    • 0039936094 scopus 로고
    • The analysis of linear probing sort by the use of a new mathematical transform
    • GONNET, G. and MUNRO, J. (1984). The analysis of linear probing sort by the use of a new mathematical transform. J. Algorithms 5 451-470.
    • (1984) J. Algorithms , vol.5 , pp. 451-470
    • Gonnet, G.1    Munro, J.2
  • 18
    • 0001980737 scopus 로고
    • On birthday, collector's, occupancy and other classical urn problems
    • HOLST, L. (1986). On birthday, collector's, occupancy and other classical urn problems. Internat. Statist. Rev. 54 15-27.
    • (1986) Internat. Statist. Rev. , vol.54 , pp. 15-27
    • Holst, L.1
  • 20
    • 0024715729 scopus 로고
    • Ultimate characterizations of the burst response of an interval searching algorithm
    • JACQUET, P. and SZPANKOWSKI, W. (1989). Ultimate characterizations of the burst response of an interval searching algorithm. SIAM J. Comput. 18 777-791.
    • (1989) SIAM J. Comput. , vol.18 , pp. 777-791
    • Jacquet, P.1    Szpankowski, W.2
  • 21
    • 0026221569 scopus 로고
    • Analysis of tries with markovian dependency
    • JACQUET, P. and SZPANKOWSKI, W. (1991). Analysis of tries with Markovian dependency. IEEE Trans. Inform. Theory 37 1470-1475.
    • (1991) IEEE Trans. Inform. Theory , vol.37 , pp. 1470-1475
    • Jacquet, P.1    Szpankowski, W.2
  • 22
    • 0029327379 scopus 로고
    • Asymptotic behavior of the Lempel-Ziv parsing scheme and digital search trees
    • JACQUET, P. and SZPANKOWSKI, W. (1995). Asymptotic behavior of the Lempel-Ziv parsing scheme and digital search trees. Theoret. Comput. Sci. 144 161-197.
    • (1995) Theoret. Comput. Sci. , vol.144 , pp. 161-197
    • Jacquet, P.1    Szpankowski, W.2
  • 23
    • 0000380898 scopus 로고
    • On the deviations between theoretical and empirical distributions
    • KAC, M. (1949). On the deviations between theoretical and empirical distributions. Proc. Nat. Acad. Sci. U.S.A. 35 252-257.
    • (1949) Proc. Nat. Acad. Sci. U.S.A. , vol.35 , pp. 252-257
    • Kac, M.1
  • 28
    • 0020207386 scopus 로고
    • Analysis of extendible hashing
    • MENDELSON, H. (1982). Analysis of extendible hashing. IEEE Trans. Software Engrg. SE8 611-619.
    • (1982) IEEE Trans. Software Engrg. , vol.SE8 , pp. 611-619
    • Mendelson, H.1
  • 29
    • 0000437595 scopus 로고
    • Asymptotical growth of a class of random trees
    • PITTEL, B. (1985). Asymptotical growth of a class of random trees. Ann. Probab. 13 414-427.
    • (1985) Ann. Probab. , vol.13 , pp. 414-427
    • Pittel, B.1
  • 30
    • 0000969513 scopus 로고
    • Paths in a random digital tree: Limiting distributions
    • PITTEL, B. (1986). Paths in a random digital tree: limiting distributions. Adv. in Appl. Probab. 18 139-155.
    • (1986) Adv. in Appl. Probab. , vol.18 , pp. 139-155
    • Pittel, B.1
  • 31
    • 38249016374 scopus 로고
    • How many random questions are necessary to identify n distinct objects?
    • PITTEL, B. and RUBIN, H. (1992). How many random questions are necessary to identify n distinct objects? J. Combin. Theory Ser. A 55 292-312.
    • (1992) J. Combin. Theory Ser. A , vol.55 , pp. 292-312
    • Pittel, B.1    Rubin, H.2
  • 32
    • 0022796304 scopus 로고
    • Approximating functions by their poisson transform
    • POBLETE, P. (1987). Approximating functions by their Poisson transform. Inform. Process. Lett. 23 127-130.
    • (1987) Inform. Process. Lett. , vol.23 , pp. 127-130
    • Poblete, P.1
  • 33
    • 0000789371 scopus 로고
    • How to select a loser
    • PRODINGER, H. (1993). How to select a loser. Discrete Math. 120 149-159.
    • (1993) Discrete Math. , vol.120 , pp. 149-159
    • Prodinger, H.1
  • 34
    • 0041713494 scopus 로고
    • Limiting distribution for the depth in PATRICIA tries
    • RAIS, B., JACQUET, P. and SZPANKOWSKI, W. (1993). Limiting distribution for the depth in PATRICIA tries. SIAM J. Discrete Math. 3 355-362.
    • (1993) SIAM J. Discrete Math. , vol.3 , pp. 355-362
    • Rais, B.1    Jacquet, P.2    Szpankowski, W.3
  • 36
    • 0001502682 scopus 로고
    • On random subsets of a finite set
    • RÉNYI, A. (1961). On random subsets of a finite set. Mathematica (Cluj) 3 355-362.
    • (1961) Mathematica (Cluj) , vol.3 , pp. 355-362
    • Rényi, A.1
  • 37
    • 0040062615 scopus 로고
    • Solution to a linear recurrence equation arising in the analysis of some algorithms
    • SZPANKOWSKI, W. (1987). Solution to a linear recurrence equation arising in the analysis of some algorithms. SIAM J. Algebraic Discrete Methods 8 233-250.
    • (1987) SIAM J. Algebraic Discrete Methods , vol.8 , pp. 233-250
    • Szpankowski, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.