메뉴 건너뛰기




Volumn 22, Issue 4, 2005, Pages 389-413

Supermodular functions on finite lattices

Author keywords

Convex cones; Extreme rays; Ordering random variables; Supermodular functions

Indexed keywords


EID: 33645286743     PISSN: 01678094     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11083-005-9026-5     Document Type: Article
Times cited : (11)

References (14)
  • 1
    • 8744265852 scopus 로고    scopus 로고
    • American Mathematical Society, Providence, Rhode Island
    • Barvinok, A.: A Course in Convexity, Graduate Studies in Mathematics, 54, American Mathematical Society, Providence, Rhode Island, 2002.
    • (2002) A Course in Convexity , pp. 54
    • Barvinok, A.1
  • 2
    • 0002167079 scopus 로고
    • Submodular functions, matroids, and certain polyhedra
    • Guy et al. (eds), Gordon and Breach, New York
    • Edmonds, J.: Submodular functions, matroids, and certain polyhedra, in Guy et al. (eds), Combinatorial Structures and Their Applications; Proceedings, Gordon and Breach, New York, 1970.
    • (1970) Combinatorial Structures and Their Applications; Proceedings
    • Edmonds, J.1
  • 3
    • 33645278411 scopus 로고
    • The cone of symmetric submodular functions
    • Kovalëv, M. M.: The cone of symmetric submodular functions, Kibernetika (Kiev) 5(iv) (1985), 122-123.
    • (1985) Kibernetika (Kiev) , vol.5 , Issue.4 , pp. 122-123
    • Kovalëv, M.M.1
  • 5
    • 0000738561 scopus 로고
    • Multivariate stochastic orderings and generating cones of functions
    • K. Mosler and M. Scarsini (eds.), IMS Lecture Notes - Monograph Series
    • Marshall, A. W.: Multivariate stochastic orderings and generating cones of functions, in K. Mosler and M. Scarsini (eds.), Stochastic Orders and Decision under Risk, IMS Lecture Notes - Monograph Series, 19, 1991, pp. 231-247.
    • (1991) Stochastic Orders and Decision under Risk , vol.19 , pp. 231-247
    • Marshall, A.W.1
  • 7
    • 0001674310 scopus 로고    scopus 로고
    • Stochastic orders generated by integrals: A unified study
    • Müller, A.: Stochastic orders generated by integrals: A unified study, Adv. Appl. Probab. 29 (1997), 414-428.
    • (1997) Adv. Appl. Probab. , vol.29 , pp. 414-428
    • Müller, A.1
  • 8
    • 0001312122 scopus 로고    scopus 로고
    • Some remarks on the supermodular order
    • Müller, A. and Scarsini, M.: Some remarks on the supermodular order, J. Multivar. Anal. 73 (2000), 107-119.
    • (2000) J. Multivar. Anal. , vol.73 , pp. 107-119
    • Müller, A.1    Scarsini, M.2
  • 11
    • 0002949510 scopus 로고    scopus 로고
    • Supermodular stochastic orders and positive dependence of random variables
    • Shaked, M. and Shanthikumar, J. G.: Supermodular stochastic orders and positive dependence of random variables, J. Multiv. Anal. 61 (1997), 86-101.
    • (1997) J. Multiv. Anal. , vol.61 , pp. 86-101
    • Shaked, M.1    Shanthikumar, J.G.2
  • 12
    • 0000348040 scopus 로고
    • Minimizing a submodular function on a lattice
    • Topkis, D. M.: Minimizing a submodular function on a lattice, Oper. Res. 26 (1978), 305-321.
    • (1978) Oper. Res. , vol.26 , pp. 305-321
    • Topkis, D.M.1
  • 13
    • 0022809513 scopus 로고
    • Stochastic comparisons for non-markov processes
    • Whitt, W.: Stochastic comparisons for non-Markov processes, Math. Oper. Res. 11 (4) (1986), 608-617.
    • (1986) Math. Oper. Res. , vol.11 , Issue.4 , pp. 608-617
    • Whitt, W.1
  • 14
    • 0004159676 scopus 로고
    • Graduate Texts in Mathematics, Springer-Verlag, New York
    • Ziegler, G. M.: Lectures on Polytopes, Graduate Texts in Mathematics, Springer-Verlag, New York, 1995.
    • (1995) Lectures on Polytopes
    • Ziegler, G.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.