On the structure of general stochastic automata

Hans Daduna

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1981)

  • Volume: 15, Issue: 4, page 287-302
  • ISSN: 0988-3754

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Daduna, Hans. "On the structure of general stochastic automata." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 15.4 (1981): 287-302. <http://eudml.org/doc/92145>.

@article{Daduna1981,
author = {Daduna, Hans},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {stochastic congruence; stochastic automata over general measurable spaces; lattice of congruences; least quotient describing a given event; hidden event},
language = {eng},
number = {4},
pages = {287-302},
publisher = {EDP-Sciences},
title = {On the structure of general stochastic automata},
url = {http://eudml.org/doc/92145},
volume = {15},
year = {1981},
}

TY - JOUR
AU - Daduna, Hans
TI - On the structure of general stochastic automata
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1981
PB - EDP-Sciences
VL - 15
IS - 4
SP - 287
EP - 302
LA - eng
KW - stochastic congruence; stochastic automata over general measurable spaces; lattice of congruences; least quotient describing a given event; hidden event
UR - http://eudml.org/doc/92145
ER -

References

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  1. 1. J. ASENDORPF, Reduktion nichtdiskreter stochastischer Automaten, Diplomarbeit, Kiel, 1973. 
  2. 2. H DADUNA, Stochastic Algebras and Stochastic Automata over General Measurable Spaces: Algebraic Theory and a Decomposition Theorem; in: Fundamentals of Computation Theory, Lect. Notes Comp. Sc., Vol. 56, 1977, pp 72-77, Berlin, Heidelberg, New York. Zbl0362.94053MR490597
  3. 3. H. DADUNA, Stochastische Algebra, Theorie und Anwendungsbeispiele, Dissertation, Hamburg, 1979 Zbl0434.68037
  4. 4. E.-E. DOBERKAT, Gute Strategien für bewertete Zustands-automaten über metrischen Räumen, to appear in: Math.-Phys, Semesterberichte, Preprint, 1978. Zbl0377.94060MR589665
  5. 5. E.-E. DOBERKAT, Stochastic behavior of Initial Nondeterministic Automata, to appear in: Proc. Fourth European Meeting on Cybernetics and Systems Research, Linz, 1978, Preprint, 1978. Zbl0469.68063MR635467
  6. 6. E.-E. DOBERKAT, Convergence Theorems for Stochastic automata and Learning Systems, Preprint, 1978. MR541863
  7. 7. E.-E. DOBERKAT, On a representation of Measurable Automaton-Transformations by Stochastic Automata, To appear in: J. Math. Anal. Appl., Preprint, 1978. Zbl0365.94076MR538232
  8. 8. G. GRATZER, Universal Algebra, Princeton, N.J., 1968. Zbl0182.34201MR248066
  9. 9. K. HINDERER, Foundations of Non-Stationary Dynamic Programming, Berlin, Heidelberg, New York, 1970. Zbl0202.18401
  10. 10. M. IOSIFESCU and R. THEODORESCU, Random Processes and Learning, Berlin, Heidelberg, New York, 1969. Zbl0194.51101
  11. 11. L. A. RASTRIGIN and K. K. RIPA, Statistical Search as a Probability Automaton, Avtomatika i Vychislitel'naya Tekhnika, Vol. 5, No. 1, 1971, pp. 50-55. Zbl0224.94069MR302374

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