Kálmán's filtering technique in structural equation modeling
DOI:
https://doi.org/10.24193/subbmath.2021.1.15Keywords:
Structural equation modeling, linear dynamical systems, K´alm´an’s filtering, artificial intelligence, application to social sciences.Abstract
The goal of this note is to present a new shorter proof for the maximal monotonicity of the Minkowski sum of two maximal monotone multi-valued operators defined in a reflexive Banach space under the classical interiority condition involving their domains.
Mathematics Subject Classification (2010): 47H05, 46N10.
References
Haavelmo, T., The statistical implications of a system of simultaneous equations, Econometrica, 11(1943), 1-12.
Joreskog, K.G., Structural equation models in the social sciences specification, estimation and testing, In: ”Applications of Statistics”, (P.R. Krishnaiah, Ed.), North-Holland Publishing Co., 1977, 265-287.
Kalman, R.E., A new approach to linear filtering and prediction problems, Trans. ASME J. Basic. Eng., 82D(1960), 35-45.
Kalman, R.E., Bucy, R.S., New results in linear filtering and prediction theory, Trans. Amer. Soc. Mech. Eng., J. Basic Eng., 83(1961), 95-108.
Kiiveri, H., Speed, T.P., Carlin, J.B., Recursive casual models, J. Aust. Math. Soc., 36(1984), 30-52.
Rao, C.R., Linear Statistical Inference and its Applications, Wiley (1973).
Tenenhaus, M., Esposito Vinzi, V., Chatelinc, Y-L., Lauro, C., PLS path modeling, Comput. Statist. Data Anal., 48.1(2005), 159-205.
Wold, H., Partial least squares, In: ”Encyclopedia of Statistical Sciences”, (Kotz, S., Johnson, N. L., Ed), Wiley, New York, 6(1985), 581-591.
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