Have a personal or library account? Click to login
Some aspects of statistical causality Cover

References

  1. Bahadur, R (1954) Sufficiency and Statistical Decision Functions, Annals of Mathematical Statistics, Vol. 25, 423–462
  2. Chamberlain, G (1982) The general equivalence of Granger and Sims causality, Econometrica, 50(3):569-581.
  3. Cohen, S. N., Elliot,R. J. (2015) Stochastic Calculus and Applications, London: Birhauser.
  4. Comte, F., Renault, E. (1996) Noncausality in Continuous Time Models The General, Economet.Theor. Vol.12 (12) (1996), 215?256.
  5. Dellacherie, C, Meyer, P.A (2011) Probabilities and Potential. B: Theory of Martingales, Elsevier, Burlington.
  6. Eliot, R.J. (1982) Stochastic Calculus and Applications, Springer-Verlag, New York.
  7. Florens, J.P, Mouchart, M (1982) A Note on Noncausality, Econometrica, Vol.50, 583–591.
  8. Florens J.P, Mouchart, M (1985b) A Linear Theory for Noncausality, Econometrica, Vol.53, 157–175.
  9. Florens, J. P, Fougères, D (1996) Noncausality in Continuous Time, Econometrica, Vol. 64, 1195–1212.
  10. Florens, J.P, Mouchart, M, Rolin, J.M (1990) Elements of Bayesian Statistics, Marcel Dekker, New York.
  11. Gégout-Petit A., Commenges, D. (2009) A general definition of influence between stochastic processes, Lifetime Data Analysis. 16 No 1, 33-44.
  12. Gill, J.B., Petrović, Lj. (1987) Causality and Stochastic Dynamic Systems, SIAM J. Appl. Math. 47 No 6, 1361-1366.
  13. Good, I.J.. (1961/62) A causal calculus I-II, British Journal of Phil. Soc., 11, 305, 12, 43-51.
  14. Granger, C.W.J (1969) Investigating Causal Relationship by Econometric Models and Cross Spectral Methods, Econometrica 37, 424-438.
  15. Granger, C.W.J., Newbold, P. (1977) Forecasting Economic Time Series, Academic Press, New York.
  16. Hall, W.J., Wijsman, R.A., Gosh,J.K. (1977) The Relationship between Sufficiency and Invariance with Applications in Sequential Analysis, Annals of Mathematical Statistics, Vol. 36, 575–614.
  17. Holland, P. W. (1986) Statistics and causal inference, J. Amer. Statisct. Assoc., 81, 945–960.
  18. Hosoya, Y. (1977) On the Granger Condition for Noncausality, Ecomometrica, 45, 1735–1736.
  19. Kean, M. P. (1963) Brownian Motion with Several-dimensional Time, Theory Probab. Appl., VIII, 4, 203–210.
  20. McCrorie J.R., Chambers, M.J. (2006) Granger causality and sampling of economic processes, J. Econom., 132(2), :311–336.
  21. Mykland, P.A. (1986) Statistical Causality, University of Bergen.
  22. Petrović, Lj. (1989) Causality and Stochastic Realization Problem, Publ. Inst. Math. (Beograd), 45(59), 203-210.
  23. Petrović, Lj. (1996) Causality and Markovian Representations, Statistics and Probability Letters, 29, 223-227.
  24. Petroviić, Lj. (2013) Some Causal Connections Between Stochastic Dynamic Systems, FILOMAT, Vol. 27. No. 5, 865-873.
  25. Petrović, Lj. , Dimitrijević, S. (2011) Invariance of statistical causality under convergence, Statistical and Probability Letters, Vol. 81, Issue 9, 1445–1448.
  26. Petrović, Lj., Dimitrijević, S., Valjarević, D. (2016) Granger Causality and Stopping Times, Lithuanian Mathematical Journal, 56(3), 410-416.
  27. Petrović, Lj., Stanojević, D. (2010) Statistical Causality, Extremal Measures and Weak Solutions of Stochastic Differential Equations with Driving Semimartingales, Journal of Mathematical and Algorithms, Vol.9, No.1, 113–128.
  28. Petrović, Lj., Valjarević, D. (2018) Statistical causality, martingale problems and local uniqueness, Stochastics: An International Journal of Probability and Stochastic Processes, 90, no. 2, 200-213.
  29. Putten C. van, Schuppen J.H. van (1979) On Stochastic Dynamic Systems, International Symposium on Mathematical Theory of Networks and Systems, Vol. 3 Delft 1979), Western Periodical, North Hollywood, Calif., 350-356.
  30. Rozanov, Yu.A. (1974) Theory of Innovation Processes, Monographs in Probabolity Theory and Mathematical Statistics, Izdat. Nauka, Moscow.
  31. Rozanov, Yu.A. (1974) Innovation Processes, V. H. Winston and Sons, New York.
  32. Rozanov, Yu. A. (1982) Markov Random Fields, Springer-Verlag,New York.
  33. Schweder, T. (1970) ComparableMarkov Processes, Journal of Applied Probability, 7, 400-410.
  34. Strook, D.W., Yor, M. (1980) On extremal solutions of martingale problems, Am. Scient. iEćole Norm. Sup., 13, 95-164.
  35. Suppes, P. (1970) A probabilistic theory of causality, Amsterdam, North- Holland.
  36. Valdes-Sosa, P.A., Roebroeck, A., Daunizeau, J., Friston, K. (2011) Effective connectivity: Influence, causality and biophysical modeling, NeuroImage, 58(2), :339-361.
  37. Valjarević, D., Merkle, A. (2021) Statistical causality and measurable separability of σ-algebras, Statistics and Probability Letters, 177 (C).
  38. Valjarević, D., Petrović, Lj. (2012) Statistical Causality and Orthogonality of Local Martingales, Statistics and Probability Letters, Vol.82, (7), 1326–1330.
  39. Valjarević, D., Petrović, Lj. (2020), Statistical Causality and Separable Processes, Statistics and Probability Letters, Vol. 167, 2020.
  40. Valjarevic, D., Petroviić, Lj. (2020) Statistical causality and purely discontinuous local martingales, Stochastics: An International Journal of Probability and Stochastic Processes, DOI: 10.1080/17442508.2020.1844707
  41. Valjarević, D., Petrović, Lj. (2021) Causality between Stopped Filtrations and Some Applications, Journal of Contemporary Mathematical Analysis, Vol. 56 (3), 134–142.
  42. Valjarević, D., Dimitrijević, S. Petrović, Lj., (2023) Statistical Causality, optional and predictable projections Lithuanian Mathematical Journal, 63, No. 1, 104-116.
  43. Yor, M. (1979) Sur L’Étude des Martingales Continues Extremales, Stochastics, 2, 191-196.
DOI: https://doi.org/10.2478/auom-2025-0012 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 239 - 260
Submitted on: Dec 10, 2023
Accepted on: May 31, 2024
Published on: Apr 2, 2025
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2025 Ljiljana Petrović, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.