Recursive Bayesian estimation under memory limitation

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1. V. Peterka, Bayesian approach to system identification, In: Trends and Progress in System Identification (P. Eykhoff, ed.), Pergamon Press, Oxford 1981. (1981) MR0746139
2. A. H. Jazwinski, Stochastic Processes and Filtering Theory, Academic Press, New York 1970. (1970) Zbl0203.50101
3. H. W. Sorenson, A. R. Stubberud, Non-linear filtering by approximation of the a poste- riori density, Internat. J. Control 8 (1968), 33-51. (1968) 
4. K. Srinivasan, State estimation by orthogonal expansion of probability distributions, IEEE Trans. Automat. Control AC-15 (1970), 3-10. (1970) 
5. R. S. Bucy, K. D. Senne, Digital synthesis of non-linear filters, Automatica 7 (1971), 287-298. (1971) Zbl0269.93070
6. H. W. Sorenson, D. L. Alspach, Recursive Bayesian estimation using Gaussian sums, Automatica 7 (1971), 465-479. (1971) Zbl0219.93020MR0321581
7. D. L. Alspach, Gaussian sum approximations in nonlinear filtering and control, In: Esti- mation Theory (D. G. Lainiotis, ed.), American Elsevier, New York 1974. (1974) Zbl0291.93053MR0368877
8. J. L. Center, Practical nonlinear filtering of discrete observations by generalized least- squares approximation of the conditional probability distribution, In: Proc. of 2nd Symp. on Nonlinear Estimation, San Diego 1971. (1971) 
9. R. J. P. de Figueiredo, J. G. Jan, Spline filters, In: Proc. of 2nd Symp. on Nonlinear Estimation, San Diego 1971. (1971) 
10. D. G. Lainiotis, J. G. Deshpande, Parameter estimation using splines, In: Estimation Theory (D. G. Lainiotis, ed.), American Elsevier, New York 1974. (1974) Zbl0309.62072MR0366480
11. H. W. Sorenson, On the development of practical nonlinear filters, In: Estimation Theory (D. G. Lainiotis, ed.), American Elsevier, New York 1974. (1974) Zbl0291.93052MR0363605
12. A. H. Wang, R. L. Klein, Implementation of nonlinear estimators using monospline, In: Proc. of 13th IEEE Conf. on Decision and Control, 1976. (1976) 
13. D. V. Lindley, Approximate Bayesian methods, In: Bayesian Statistics (J. M. Bernardo. M. H. DeGroot, D. V, Lindley and A. F. M. Smith, eds.), University Press, Valencia 1980. (1980) Zbl0458.62002MR0638879
14. O. L. R. Jacobs, Recursive estimation for non-linear Wiener systems by on-line implementation of Bayes' rule, Trans. Inst. M. C. 7 (1985), 245-250. (1985) 
15. M. Karny, K. M. Hangos, Approximation of the Bayes rule, In: Proc. of 7th IFAC/ IFORS Symp. on Identification and System Parameter Estimation, York 1985. (1985) 
16. A. R. Stubberud, G. H. Xia, A fixed complexity nonlinear estimation technique, In: Proc. of 25th Conf. on Decision and Control, Athens 1986. (1986) 
17. M. Karny, K. M. Hangos, One-sided approximation of Bayes rule: theoretical background, In: Proc. of 10th IFAC Congress, Munich 19S7. (19S7) 
18. S. C. Kramer, H. W. Sorenson, Bayesian parameter estimation, In: Proc. of 1987 Amer. Control. Conf., Minneapolis 1987. (1987) 
19. J. M. Bernardo, Approximations in statistics from a decision theoretical viewpoint, In: Probability and Bayesian Statistics (R. Viertl, ed.), Plenum Press, New York 1987. (1987) MR0925441
20. B. de Finetti, Theory of Probability: A Critical Introductory Treatment, Wiley, New York 1970 (Vol. 1), Chichester 1972 (Vol. 2). (1970) 
21. I. J. Good, The Estimation of Probabilities: An Essay on Modern Bayesian Methods, MIT Press, Cambridge 1965. (1965) Zbl0168.39603MR0185724
22. I. J. Good, Some history of the hierarchical Bayesian methodology, In: Bayesian Statistics (J. M. Bernardo, M. H. DeGroot, D. V. Lindley and A. F. M. Smith, eds.), University Press, Valencia 1980. (1980) Zbl0467.62002MR0638884
23. N. N. Chentsov, Statistical Decision Rules and Optimal Inference (in Russian), Nauka, Moscow 1972, English translation: Translation of Mathematcal Monographs, 53, AMS, Rhode Island 1982. (1972) MR0343398
24. R. Larsen, Functional Analysis: An Introduction, Dekker, Ner York 1973. (1973) Zbl0261.46001MR0461069
25. R. Kulhavý, A Bazes-closed approximation of recursive nonlinear estimation, Internat. J. Adaptive Control and Signal Processing (submitted). 
26. L. J. Savage, The Foundations of Statistics, Wiley, New York 1954. (1954) Zbl0055.12604MR0063582