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Lainiotis, Demetrios G.; Deshpande, J. G.

Parameter estimation using splines. (English) Zbl 0309.62072

Inf. Sci. 7, 291-315 (1974).
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Cited in 4 Documents

MSC:

62M99 Inference from stochastic processes
41A15 Spline approximation
62M20 Inference from stochastic processes and prediction
93E10 Estimation and detection in stochastic control theory
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[1] Hilborn, C. G.; Lainiotis, D. G., Learning systems for minimum risk adaptive pattern classification and optimal adaptive estimation, (CSRG Technical Report No. 9 (November 1967), Department of Electrical Engineering, University of Texas: Department of Electrical Engineering, University of Texas Austin) · Zbl 0184.22002
[2] Lainiotis, D. G., Adaptive mixture decomposition: A unifying approach, (Proceedings of the National Electronics Conference, 24 (1968)), 104-106 · Zbl 0229.68034
[3] Hilborn, C. G.; Lainiotis, D. G., Optimal estimation in the presence of unknown parameters, IEEE Trans. Syst. Sci. Cybernet., SSC5, 1, 38-43 (January 1969) · Zbl 0184.22002
[4] Lainiotis, D. G., Optimal adaptive estimation: Structure and parameter adaptation, (Technical Report No. 74 (September 5, 1969), Electronics Research Center, University of Texas) · Zbl 0199.54603
[5] Sims, F. L.; Lainiotis, D. G., Recursive algorithm for the calculation of the adaptive filter weighting coefficients, IEEE Trans. Auto. Control, AC14, 2, 215-218 (April 1969)
[6] Lainiotis, D. G., Optimal adaptive estimation: Structure and parameter adaptation, IEEE Trans. Auto. Control, AC16, 2, 160-170 (April 1970)
[7] Lainiotis, D. G., Supervised learning recursive filters for optimal structure and parameter adaptive pattern recognition: Discrete data case, IEEE Trans. Inform. Theory, IT17, 1 (January 1971) · Zbl 0229.68034
[8] Schoenberg, I. J., On spline functions, (Shisha, O., Inequalities, Symposium at Wright-Patterson Air Force Base (1967), Academic: Academic New York), 255-291 · Zbl 0147.32101
[9] Marsden, M. J., An inequality for spline functions with applications to variation diminishing spline approximation, J. Approx. Theory, 3, 7-49 (1970) · Zbl 0192.42103
[10] DeFigueiredo, J. P.; Jan, Y. G., Spline filters, (1971 Symposium on Nonlinear Estimation and Their Applications. 1971 Symposium on Nonlinear Estimation and Their Applications, San Diego (1971)) · Zbl 0314.93037
[11] Curry, H. B.; Schoenberg, I. J., On polya frequency functions IV: The fundamental spline functions and their limits, J. Anal. Math., 17, 71-107 (1966) · Zbl 0146.08404
[12] Munteanu, M. J.; Schumaker, L. L., Some multi-dimensional spline approximation methods, (Technical Report No. CNA-25 (July 1971), Center for Numerical Analysis, The University of Texas: Center for Numerical Analysis, The University of Texas Austin) · Zbl 0278.41012
[13] Deshpande, J. G.; Lainiotis, D. G., Identification and control of linear stochastic systems using spline functions, (Technical Report No. 146 (May 1973), Electronics Research Center, University of Texas) · Zbl 0264.93038
[14] Sorenson, H. W., On the development of practical nonlinear filters, Inform. Sci., 7, 3/4, 253-270 (1974), Fall · Zbl 0291.93052
[15] Sengbush, R. L.; Lainiotis, D. G., Simplified parameter quantization procedure, IEEE Trans. Auto. Control, AC14, 4, 424-425 (August 1969)
[16] Bucy, R. S.; Senne, K. D., Digital synthesis of nonlinear filters, Automatica, 7, 3, 287-298 (May 1971) · Zbl 0269.93070
[17] Aoki, M., Optimization of Stochastic Systems (1967), Academic: Academic New York · Zbl 0168.15802
[18] Lainiotis, D. G.; Park, S. K.; Krishnaiah, R., Optimal state vector estimation for non-Gaussian initial state-vector, IEEE Trans. Auto. Control, AC16, 2, 197-198 (April 1971)
[19] Sorenson, H. W.; Alspach, D. L., Recursive Bayesian estimation using Gaussian sums, Automatica, 7, 4 (July 1971) · Zbl 0219.93020
[20] Park, S. K.; Lainiotis, D. G., Monte-Carlo study of the optimal non-linear estimator: Linear systems with non-Gaussian initial states, Int. J. Control, 16, 4, 1029-1040 (1972) · Zbl 0246.93035
[21] Lo, J. T., Finite-dimensional sensor orbits and optimal nonlinear filtering, IEEE Trans. Inform. Theory, IT18, 5 (September 1972) · Zbl 0246.93042
[22] Alspach, D. L.; Sorenson, H. W., Nonlinear Bayesian estimation using Gaussian sum approximations, IEEE Trans. Auto. Control, AC17, 4 (August 1972) · Zbl 0264.93023
[23] Lainiotis, D. G.; Park, S. K., On joint detection, estimation, and system identification: Discrete data case, Int. J. Control, 17, 3, 609-633 (1973) · Zbl 0249.93046
[24] Alspach, D. L., The use of Gaussian sum approximations on nonlinear filtering, Inform. Sci., 7, 3/4, 271-290 (1974), this issue. · Zbl 0291.93053
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