On the relation between gnostical and probability theories

Zdeněk Fabián

Kybernetika (1997)

  • Volume: 33, Issue: 3, page 259-270
  • ISSN: 0023-5954

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Fabián, Zdeněk. "On the relation between gnostical and probability theories." Kybernetika 33.3 (1997): 259-270. <http://eudml.org/doc/27870>.

@article{Fabián1997,
author = {Fabián, Zdeněk},
journal = {Kybernetika},
language = {eng},
number = {3},
pages = {259-270},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On the relation between gnostical and probability theories},
url = {http://eudml.org/doc/27870},
volume = {33},
year = {1997},
}

TY - JOUR
AU - Fabián, Zdeněk
TI - On the relation between gnostical and probability theories
JO - Kybernetika
PY - 1997
PB - Institute of Information Theory and Automation AS CR
VL - 33
IS - 3
SP - 259
EP - 270
LA - eng
UR - http://eudml.org/doc/27870
ER -

References

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  1. S. Amari, Differential--Geometrical Methods in Statistics, (Lecture Notes in Statistics 28.) Springer-Verlag, Berlin--Heidelberg--New York 1985. (1985) Zbl0559.62001MR0788689
  2. T. M. Cover, J. A. Thomas, Elements of Information Theory, Wiley, New York--London 1991. (1991) Zbl0762.94001MR1122806
  3. Z. Fabián, Point estimation in case of small data sets, In: Trans. 10th Prague Conf. on Inform. Theory, Statist. Dec. Functions, Random Processes, Academia, Prague 1988, pp. 305-312. (1988) MR1136285
  4. Z. Fabián, Generalized score function and its use, In: Trans. 12th Prague Conf. on Inform. Theory, Statist. Dec. Functions, Random Processes, ÚTIA AV ČR, Prague 1994. (1994) 
  5. Z. Fabián, Information and entropy of continuous random variables, IEEE Trans. Inform. Theory 43 (1997), 3. (1997) MR1454240
  6. Z. Fabián, Geometric Moments, Techn. Report No. V-699, ICS AS CR, Prague 1996. (1996) 
  7. Z. Fabián, Geometric moments, In: Trans. ROBUST'96, JČMF, Prague 1997. (In Czech.) (1997) 
  8. F. R. Hampel P. J. Rousseeuw E. M. Ronchetti, W. A. Stahel, Robust Statistic. The Approach Based on Influence Functions, Wiley, New York 1987. (1987) MR0829458
  9. S. Kobayashi, K. Nomizu, Foundations of Differential Geometry, Interscience Publishers, New York--London 1963. (1963) Zbl0119.37502MR0152974
  10. P. Kovanic, Gnostical theory of individual data, Problems Control Inform. Theory 13 (1984), 4, 259-274. (1984) Zbl0575.94005MR0776018
  11. P. Kovanic, Gnostical theory of small samples of real data, Problems Control Inform. Theory 13 (1984), 5, 303-319. (1984) Zbl0583.94008MR0776021
  12. P. Kovanic, On relation between information and physics, Problems Control Inform. Theory 13 (1984), 6, 383-399. (1984) 
  13. P. Kovanic, A new theoretical and algorithmical tool for estimation, identification and control, Automatica 22 (1986), 6, 657-674. (1986) 
  14. P. Kovanic, J. Novovičová, Comparizon of statistical and gnostical estimates of parameter of location on real data, In: Proc. of ROBUST, JČMF, Prague 1986. (In Czech.) (1986) 
  15. J. Novovičová, M-estimators and gnostical estimators of location, Problems Control Inform. Theory 18 (1989), 6, 397-407. (1989) MR1029471
  16. G. P. Patil M. T. Boswell, M. V. Ratnaparkhi, Dictionary and classified bibliography of statistical distributions in scientific work, In: Internat. Co-operative Publ. House, Maryland 1984. (1984) 
  17. A. P. Prudnikov J. A. Brychkov, O. I. Marichev, Integrals and Series, Nauka, Moskva 1981. (In Russian.) (1981) MR0635931
  18. S. M. Stiegler, Do robust estimators work with real data?, Ann. Statist. 6 (1977), 1055-1098. (1977) MR0455205
  19. I. Vajda, Efficiency and robustness control via distorted maximum likelihood estimation, Kybernetika 22 (1986), 1, 47-67. (1986) Zbl0603.62039MR0839344
  20. I. Vajda, Minimum-distance and gnostical estimators, Problems Control Inform. Theory 17 (1987), 5, 253-266. (1987) MR0967946
  21. I. Vajda, Comparison of asymptotic variances for several estimators of location, Problems Control Inform. Theory 18 (1989), 2, 79-87. (1989) Zbl0678.62035MR0991547

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