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Correlation inequalities on some partially ordered sets. (English) Zbl 0346.06011

MSC:
06D05 Structure and representation theory of distributive lattices
62P99 Applications of statistics
62H20 Measures of association (correlation, canonical correlation, etc.)
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[1] Griffiths, R. B.: J. Math. Phys.8, 478, 484 (1967). · doi:10.1063/1.1705219
[2] Kelly, D. G., Sherman, S.: J. Math. Phys.9, 466 (1968). · doi:10.1063/1.1664600
[3] Sherman, S.: Commun. math. Phys.14, 1 (1969). · doi:10.1007/BF01645451
[4] Ginibre, J.: Phys. Rev. Letters23, 828 (1969). · doi:10.1103/PhysRevLett.23.828
[5] —- Commun. math. Phys.16, 310 (1970). · doi:10.1007/BF01646537
[6] Harris, T. E.: Proc. Cambridge Phil. Soc.56, 13 (1960). · doi:10.1017/S0305004100034241
[7] Kasteleyn, P. W., Fortuin, C. M.: J. Phys. Soc. Japan26 (Suppl.), 11 (1969).
[8] Fortuin, C. M., Kasteleyn, P. W.: To be published.
[9] Birkhoff, G.: Lattice theory. Am. Math. Soc., Providence (1967). · Zbl 0153.02501
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