Compatibility and statistical inference for data in measurement model of Foulis and Randall

Adam Paszkiewicz; Andrzej Szymański

Mathematica Slovaca (1998)

  • Volume: 48, Issue: 2, page 149-159
  • ISSN: 0139-9918

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Paszkiewicz, Adam, and Szymański, Andrzej. "Compatibility and statistical inference for data in measurement model of Foulis and Randall." Mathematica Slovaca 48.2 (1998): 149-159. <http://eudml.org/doc/34471>.

@article{Paszkiewicz1998,
author = {Paszkiewicz, Adam, Szymański, Andrzej},
journal = {Mathematica Slovaca},
keywords = {graph; hypergraph; orthogonality; measure on orthogonality space},
language = {eng},
number = {2},
pages = {149-159},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Compatibility and statistical inference for data in measurement model of Foulis and Randall},
url = {http://eudml.org/doc/34471},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Paszkiewicz, Adam
AU - Szymański, Andrzej
TI - Compatibility and statistical inference for data in measurement model of Foulis and Randall
JO - Mathematica Slovaca
PY - 1998
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 48
IS - 2
SP - 149
EP - 159
LA - eng
KW - graph; hypergraph; orthogonality; measure on orthogonality space
UR - http://eudml.org/doc/34471
ER -

References

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  3. CRAMÉR H., Mathematical Methods of Statistics, Princeton, N.J., Princeton University Press, 1946. (1946) Zbl0063.01014MR0016588
  4. DAVID A. P.-LAURITZEN S. L., Hyper Markov laws in the statistical analysis of decomposable graphical models, Ann. Statist. 21 (1993), 1272-1317. (1993) MR1241267
  5. FINCH P. D., Quantum mechanical physical quantities as random variables, In: Foundations of Probability Theory Statistical Inference, and Statistical Theories of Science, Vol. III (W. L. Harper, C A. Hooker, eds.), D. Reidel Publishing Company, Dordrecht-Holland, 1976, pp. 81-103. (1976) Zbl0349.02025MR0503048
  6. FISCHER H. R.-RÜTTIMANN G. T., The geometry of the state space, In: Matһematical Found. of Quantum Тheorу (A. Marlow, eds.), Academic Press, New York, 1978, pp. 153-177. (1978) MR0489495
  7. FOULIS D. J.-RANDALL C. H., Operational statistics. I. Basic concepts, J. Math. Phys. 13 (1972), 1667-1675. (1972) Zbl0287.60002MR0416417
  8. GOLUMBIC M. C., Algorithmic Graph Theory and Perfect Graphs, Academic Press, London, 1980. (1980) Zbl0541.05054MR0562306
  9. GREECHIE R. J., Orthomodular lattices admitting no states, J. Cornbin. Тheory 10 (1971), 119-132. (1971) Zbl0219.06007MR0274355
  10. GREECHIE R. J.-GUDDER S. P., Quantum logics, In: Contemporary Research in the Foundations and Philosophy of Quantum Тheory. (C. A. Hooker, eds.), Proc. Conf. Univ. Western Ontario, London, Canada, D. Reidel Pubhshing Companу, Dordrecht-Holland, 1973, pp. 143-173. (1973) Zbl0279.02015
  11. GUDDER S. P.-KLÄY M. P.-RÜТТIMANN G. Т., States on hypergraphs, Demonstratio Math. 19 (1986), 503-526. (1986) MR0895021
  12. GUDDER S. P.-RÜТТIMANN G. Т., Observables an hypergraphs, Found. Phуs. 16 (1986), 773-790. (1986) MR0895029
  13. KLÄY M. P.., Quantum logic properties of hypergraphs, Found. Phys. 17 (1987), 1019-1036. (1987) MR0926169
  14. LAURIТZEN S. L.-SPEED Т. P.-VIJAYAN K., Decomposable graphs and hypergraphs, J. Austral. Math. Soc. Ser. A 36 (1984), 12-29. (1984) MR0719998
  15. LEIMER H.-G., Triangulated graphs with marked vertices, In: Graph Theory in Memory of G. A. Dirac. (L. D. Andersen, C. Thomassen, B. Toft, P. D. Vestergaard, eds.), Ann. Discrete Math. 41, Elsevier Science Publishers B.V. (North-Holland), Amsterdam, 1989, pp. 311-324. (1989) Zbl0678.05056MR0976010
  16. PASZKIEWICZ A.-SZYMANSKI A., On some orthologics and posets determined by various orthogonality relations, 1994 (Submitted). 
  17. RANDALL C. H.-FOULIS D. J., An approach to empirical logic, Amer. Math. Monthly 77 (1970), 363-374. (1970) Zbl0209.30302MR0258688
  18. RÜTTIMANN G. T., Jordan-Hahn decomposition of signed weights on finite orthogonality spaces, Comment. Math. Helv. 52 (1977), 129-144. (1977) Zbl0368.06008MR0443604

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