Statistical maps: a categorical approach

Roman Frič

Mathematica Slovaca (2007)

  • Volume: 57, Issue: 1, page 41-57
  • ISSN: 0139-9918

How to cite

top

Frič, Roman. "Statistical maps: a categorical approach." Mathematica Slovaca 57.1 (2007): 41-57. <http://eudml.org/doc/31924>.

@article{Frič2007,
author = {Frič, Roman},
journal = {Mathematica Slovaca},
keywords = {measurable space; fuzzy probability measure; fuzzy random variable; statistical map; -poset},
language = {eng},
number = {1},
pages = {41-57},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Statistical maps: a categorical approach},
url = {http://eudml.org/doc/31924},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Frič, Roman
TI - Statistical maps: a categorical approach
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 1
SP - 41
EP - 57
LA - eng
KW - measurable space; fuzzy probability measure; fuzzy random variable; statistical map; -poset
UR - http://eudml.org/doc/31924
ER -

References

top
  1. ADÁMEK J., Theory of Mathematical Structures, Reidel, Dordrecht, 1983. (1983) MR0735079
  2. BELTRAMETTI E. G.-BUGAJSKI S., Correlation and entaglement in probability theory, Internat. J. Theoret. Phуs. 44 (2005), 827-837. MR2199500
  3. BUGAJSKI S., Fundamentals of fuzzy probability theory, Internt. J. Theoret. Phуs. 35 (1996), 2229-2244. (1996) Zbl0872.60003MR1423402
  4. BUGAJSKI S.: S, tatistical maps I. Basic properties, Math. Slovaca 51 (2001), 321-342. MR1842320
  5. BUGAJSKI S., Statistical maps II. Operational random variables, Math. Slovaca 51 (2001), 343-361. Zbl1088.81022MR1842321
  6. DVUREČENSKIJ A.-PULMANNOVÁ S., New Trends in Quantum Structures, Kluwer Academic Publ./Ister Science, Dordrecht/Bratislava, 2000. Zbl0987.81005MR1861369
  7. FOULIS D. J.-BENNETT M. K., Effect algebras and unsharp quantum logics, Found. Phуs. 24 (1994), 1331-1352. (1994) Zbl1213.06004MR1304942
  8. FRIČ R., Convergence and duality, Appl. Categ. Structures 10 (2002), 257-266. Zbl1015.06010MR1916158
  9. FRIČ R., Łukasiewicz tribes are absolutely sequentially closed bold algebras, Czechoslovak Math. J. 52 (2002), 861-874. Zbl1016.28013MR1940065
  10. FRIČ R., Duality for generalized events, Math. Slovaca 54 (2004), 49-60. Zbl1076.22004MR2074029
  11. FRIČ R., Coproducts of D-posets and their applications to probability, Internt. J. Theoret. Phys. 43 (2004), 1625-1632. MR2108299
  12. FRIČ R., Remarks on statistical maps and fuzzy (operational) random variables, Tatra Mt. Math. Publ. 30 (2005), 21-34. Zbl1150.60304MR2190245
  13. FRIČ R., Extension of measures: a categorical approach, Math. Bohemica 130 (2005), 397-407. Zbl1107.54014MR2182385
  14. GUDDER S., Fuzzy probability theory, Demonstratio Math. 31 (1998), 235-254. (1998) Zbl0984.60001MR1623780
  15. KÔPKA F.-CHOVANEC F., D-posets, Math. Slovaca 44 (1994), 21-34. (1994) Zbl0789.03048MR1290269
  16. LOÈVE M., Probability Theory, D. Van Nostrand Companу, Inc, Princeton, 1963. (1963) Zbl0108.14202MR0203748
  17. PAPČO M., On measurable spaces and measurable maps, Tatra Mt. Math. Publ. 28 (2004), 125-140. Zbl1112.06005MR2086282
  18. PAPČO M., On fuzzy random variables: examples and generalizations, Tatra Mt. Math. Publ. 30 (2005), 175-185. Zbl1152.60302MR2190258
  19. PAPČO M., On effect algebras, Preprint. Zbl1127.06003
  20. PURI M. L.-RALESCU D. A., Fuzzy random variables, J. Math. Anal. Appl. 114 (1986), 409-422. (1986) Zbl0605.60038MR0833596
  21. RIEČAN B.-MUNDICI D., Probability on MV-algebras, In: Handbook of Measure Theory, Vol. II (E. Pap, ed.), North-Holland, Amsterdam, 2002, 869-910. Zbl1017.28002MR1954631

NotesEmbed ?

top

You must be logged in to post comments.