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Volumn 27, Issue 3, 2005, Pages 290-309

Maxima in hypercubes

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EID: 27844562630     PISSN: 10429832     EISSN: None     Source Type: Journal    
DOI: 10.1002/rsa.20053     Document Type: Article
Times cited : (52)

References (33)
  • 1
    • 0032222172 scopus 로고    scopus 로고
    • On the variance of the number of maxima in random vectors and its applications
    • Z.-D. Bai, C.-C. Chao, H.-K. Hwang, and W.-Q. Liang, On the variance of the number of maxima in random vectors and its applications, Ann Appl Probab 8 (1998), 886-895.
    • (1998) Ann Appl Probab , vol.8 , pp. 886-895
    • Bai, Z.-D.1    Chao, C.-C.2    Hwang, H.-K.3    Liang, W.-Q.4
  • 2
    • 0002998733 scopus 로고    scopus 로고
    • Limit theorems for the number of maxima in random samples from planar regions
    • Paper 3
    • Z.-D. Bai, H.-K. Hwang, W.-Q. Liang, and T.-H. Tsai, Limit theorems for the number of maxima in random samples from planar regions, Electron J Probab 6 (2001), http://www.math. washington.edu/~ejpecp/EjpVol6/paper3.pdf, Paper 3, 41 pp.
    • (2001) Electron J Probab , vol.6 , pp. 41
    • Bai, Z.-D.1    Hwang, H.-K.2    Liang, W.-Q.3    Tsai, T.-H.4
  • 3
    • 10644267436 scopus 로고    scopus 로고
    • Berry-Esseen bounds for the number of maxima in planar regions
    • Paper 9
    • Z.-D. Bai, H.-K. Hwang, and T.-H. Tsai, Berry-Esseen bounds for the number of maxima in planar regions, Electron J Probab 8 (2003), http://www.math.washington.edu/~ejpecp/EjpVol8/paper9.pdf, Paper 9, 26 pp.
    • (2003) Electron J Probab , vol.8 , pp. 26
    • Bai, Z.-D.1    Hwang, H.-K.2    Tsai, T.-H.3
  • 5
    • 0035712391 scopus 로고    scopus 로고
    • The number of two dimensional maxima
    • A. D. Barbour and A. Xia, The number of two dimensional maxima, Adv Appl Probab 33 (2001), 727-750.
    • (2001) Adv Appl Probab , vol.33 , pp. 727-750
    • Barbour, A.D.1    Xia, A.2
  • 6
    • 0001034387 scopus 로고
    • On the distribution of the number of admissible points in a vector random sample
    • O. Barndorff-Nielsen and M. Sobel, On the distribution of the number of admissible points in a vector random sample, Theory Probab Appl 11 (1966), 249-269.
    • (1966) Theory Probab Appl , vol.11 , pp. 249-269
    • Barndorff-Nielsen, O.1    Sobel, M.2
  • 7
    • 0034374793 scopus 로고    scopus 로고
    • Supporting-points processes and some of their applications
    • Y. Baryshnikov, Supporting-points processes and some of their applications, Probab Theory Related Fields 117 (2000), 163-182.
    • (2000) Probab Theory Related Fields , vol.117 , pp. 163-182
    • Baryshnikov, Y.1
  • 8
    • 0018020828 scopus 로고
    • On the average number of maxima in a set of vectors and applications
    • J. L. Bentley, H. T. Kung, M. Schkolnick, and C. D. Thompson, On the average number of maxima in a set of vectors and applications, J ACM 25 (1978), 536-543.
    • (1978) J ACM , vol.25 , pp. 536-543
    • Bentley, J.L.1    Kung, H.T.2    Schkolnick, M.3    Thompson, C.D.4
  • 9
    • 84904774607 scopus 로고
    • Supervision of queues of requests in computer systems
    • B. A. Berezovskiǐ and S. I. Travkin, Supervision of queues of requests in computer systems, Autom Remote Control 36 (1975), 1719-1725.
    • (1975) Autom Remote Control , vol.36 , pp. 1719-1725
    • Berezovskiǐ, B.A.1    Travkin, S.I.2
  • 10
    • 0022737728 scopus 로고
    • Random inequality constraint systems with few variables
    • C. Blair, Random inequality constraint systems with few variables, Math Program 35 (1986), 133-139.
    • (1986) Math Program , vol.35 , pp. 133-139
    • Blair, C.1
  • 11
    • 0024766052 scopus 로고
    • On the average number of maxima in a set of vectors
    • C. Buchta, On the average number of maxima in a set of vectors, Inform Process Lett 33 (1989), 63-65.
    • (1989) Inform Process Lett , vol.33 , pp. 63-65
    • Buchta, C.1
  • 12
    • 0010078298 scopus 로고
    • Some properties of Pareto-optimal choices in decision problems
    • H. C. Calpine and A. Golding, Some properties of Pareto-optimal choices in decision problems, Omega Int J Management Sci 4 (1976), 141-147.
    • (1976) Omega Int J Management Sci , vol.4 , pp. 141-147
    • Calpine, H.C.1    Golding, A.2
  • 13
    • 0038434299 scopus 로고    scopus 로고
    • Notes on the variance of the number of maxima in three dimensions
    • A. Carlsund, Notes on the variance of the number of maxima in three dimensions, Random Structures Algorithms 22 (2003), 440-447.
    • (2003) Random Structures Algorithms , vol.22 , pp. 440-447
    • Carlsund, A.1
  • 15
    • 85012700045 scopus 로고
    • A note on finding convex hulls via maximal vectors
    • L. Devroye, A note on finding convex hulls via maximal vectors, Inform Process Lett 11 (1980), 53-56.
    • (1980) Inform Process Lett , vol.11 , pp. 53-56
    • Devroye, L.1
  • 17
    • 0041542144 scopus 로고    scopus 로고
    • A note on the expected time for finding maxima by list algorithms
    • L. Devroye, A note on the expected time for finding maxima by list algorithms, Algorithmica 23 (1999), 97-108.
    • (1999) Algorithmica , vol.23 , pp. 97-108
    • Devroye, L.1
  • 18
    • 0347331918 scopus 로고    scopus 로고
    • Dominance in multi-dimensional multiple-choice knapsack problems
    • M. E. Dyer and J. Walker, Dominance in multi-dimensional multiple-choice knapsack problems, Asia-Pacific J Oper Res 15 (1998), 159-168.
    • (1998) Asia-Pacific J Oper Res , vol.15 , pp. 159-168
    • Dyer, M.E.1    Walker, J.2
  • 20
    • 0032219840 scopus 로고    scopus 로고
    • Euler sums and contour integral representations
    • P. Flajolet and B. Salvy, Euler sums and contour integral representations, Experiment Math 7 (1998), 15-35.
    • (1998) Experiment Math , vol.7 , pp. 15-35
    • Flajolet, P.1    Salvy, B.2
  • 21
    • 0029325565 scopus 로고
    • Mellin transforms and asymptotics: Finite differences and Rice's integrals
    • P. Flajolet and R. Sedgewick, Mellin transforms and asymptotics: Finite differences and Rice's integrals, Theoret Comput Sci 144 (1995), 101-124.
    • (1995) Theoret Comput Sci , vol.144 , pp. 101-124
    • Flajolet, P.1    Sedgewick, R.2
  • 22
    • 0028452697 scopus 로고
    • A provably fast linear-expected-time maxima-finding algorithm
    • M. J. Golin, A provably fast linear-expected-time maxima-finding algorithm, Algorithmica 11 (1994), 501-524.
    • (1994) Algorithmica , vol.11 , pp. 501-524
    • Golin, M.J.1
  • 23
    • 79957480187 scopus 로고    scopus 로고
    • Phase changes in random recursive structures and algorithms
    • (Hong Kong, July, 2002), T. L. Lai, H. Yang, and S. P. Yung (Editors), 82-97. World Scientific, Singapore, June (Preprint available at algo.stat.sinica.edu.tw)
    • H.-K. Hwang, "Phase changes in random recursive structures and algorithms," Proceedings of the Workshop on Probability with Applications to Finance and Insurance (Hong Kong, July, 2002), T. L. Lai, H. Yang, and S. P. Yung (Editors), 82-97. World Scientific, Singapore, June 2004. (Preprint available at algo.stat.sinica.edu.tw)
    • (2004) Proceedings of the Workshop on Probability with Applications to Finance and Insurance
    • Hwang, H.-K.1
  • 24
    • 27844505811 scopus 로고
    • Estimate of the mathematical expectation of the number of elements of the Pareto set
    • in Russian
    • V. M. Ivanin, Estimate of the mathematical expectation of the number of elements of the Pareto set, Kibernetika (Kiev) 3 (1975), 145-146 (in Russian);
    • (1975) Kibernetika (Kiev) , vol.3 , pp. 145-146
    • Ivanin, V.M.1
  • 25
    • 27844553078 scopus 로고
    • English translation
    • English translation: Cybernetics 11 (1976), 506-507.
    • (1976) Cybernetics , vol.11 , pp. 506-507
  • 26
    • 4243447739 scopus 로고
    • Calculation of the dispersion of the number of elements of the Pareto set for the choice of independent vectors with independent components
    • Theory of optimal decisions, 90-100. Kiev, (in Russian)
    • V. M. Ivanin, "Calculation of the dispersion of the number of elements of the Pareto set for the choice of independent vectors with independent components," Theory of optimal decisions, 90-100. Akad. Nauk. Ukr. SSR Inst. Kibernet., Kiev, 1976 (in Russian).
    • (1976) Akad Nauk Ukr SSR Inst Kibernet
    • Ivanin, V.M.1
  • 28
    • 27844452605 scopus 로고
    • The method of estimating the number of conditionally optimal trajectories of discrete separable dynamic programming
    • A. I. Kuksa and N. Z. Šor, The method of estimating the number of conditionally optimal trajectories of discrete separable dynamic programming (in Russian), Kibernetika (Kiev) 6 (1972), 37-44.
    • (1972) Kibernetika (Kiev) , vol.6 , pp. 37-44
    • Kuksa, A.I.1    Šor, N.Z.2
  • 29
    • 0010183080 scopus 로고
    • Combinatorial variations on multidimensional quadtrees
    • G. Labelle and L. Laforest, Combinatorial variations on multidimensional quadtrees, J Combinat Theory Ser A 69 (1995), 1-16.
    • (1995) J Combinat Theory Ser A , vol.69 , pp. 1-16
    • Labelle, G.1    Laforest, L.2
  • 30
    • 0000903308 scopus 로고
    • The number of outcomes in the Pareto-optimal set of discrete bargaining games
    • B. O'Neill, The number of outcomes in the Pareto-optimal set of discrete bargaining games, Math Oper Res 6 (1980), 571-578.
    • (1980) Math Oper Res , vol.6 , pp. 571-578
    • O'Neill, B.1
  • 32
    • 27844476524 scopus 로고
    • transl. from Russian
    • [transl. from Russian Usp Mat Nauk 8 (1953), no. 3 (35), 135-142.
    • (1953) Usp Mat Nauk 8 , vol.3 , Issue.35 , pp. 135-142
  • 33
    • 27844587031 scopus 로고
    • Randomly collecting sets of objects or ... It's another spear-thrower!
    • 18-20 October
    • C. Vout, Randomly collecting sets of objects or ... It's another spear-thrower! Eureka 36 (18-20 October, 1973).
    • (1973) Eureka 36
    • Vout, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.