Autoregressive error-processes, cubic splines and tridiagonal matrices
Discussiones Mathematicae. Probability and Statistics, Tome 23 (2003) no. 2, pp. 147-165.

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In the paper formulate for the inversion of some tridiagonal matrices are given. The results can be applied to the autoregressive processes.
Keywords: autoregressive processes, cubic splines interpolation, linear regression model, time series
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Drygas, Hilmar. Autoregressive error-processes, cubic splines and tridiagonal matrices. Discussiones Mathematicae. Probability and Statistics, Tome 23 (2003) no. 2, pp. 147-165. http://geodesic.mathdoc.fr/item/DMPS_2003_23_2_a3/

[1] H. Drygas, Sufficiency and completeness in the general Gauss-Markov model, Sankhya Ser A 45 (1984), 88-98.

[2] H. Drygas, The inverse of a tridiagonal matrix, Kasseler Mathematische Schriften, forthcoming (2003).

[3] F. Graybill, Matrices with Applications in Statistics, Wadsworth Brooks/Cole, Advanced Books Software, Pacific Grove, California 1963.

[4] R. Nabben, Two sided formels on the inverses of diagonally dominant tridiagonal matrices, Linear Algebra and its Applications 287 (1999), 289-305.

[5] C.R. Rao, Linear statistical inference and its applications. John Wiley Sons Inc., New York-London-Sydney-Toronto 1973.

[6] P. Schönfeld, Methoden der Ökonometrie. Band I, Verlag Franz Vahlen GmbH, Berlin und Frankfurt am Main 1969.

[7] H.R. Schwarz, Numerische Mathematik. R.G. Teubner-Verlag, Stuttgart 1988.

[8] J.Stoer, Numerische Mathematik 1. 5. Auflage, Springer-Verlag, Berlin Heidelberg New York London Paris Tokyo Hong Kong 1989.

[9] W. Törnig, P. Spellucci, Numerische Mathematik für Ingenieure und Physiker. Band 2: Numerische Methoden der Analysis. Springer Verlag, Berlin Heidelberg New York London Paris Tokyo Hong Kong 1990.