ArticleOriginal scientific text
Title
Autoregressive error-processes, cubic splines and tridiagonal matrices
Authors 1
Affiliations
- Universität Kassel, Fachbereich 17 Mathematik/Informatik, Heinrich-Plett-Straße 40, D-34132 Kassel
Abstract
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
Bibliography
- H. Drygas, Sufficiency and completeness in the general Gauss-Markov model, Sankhya Ser A 45 (1984), 88-98.
- H. Drygas, The inverse of a tridiagonal matrix, Kasseler Mathematische Schriften, forthcoming (2003).
- F. Graybill, Matrices with Applications in Statistics, Wadsworth & Brooks/Cole, Advanced Books & Software, Pacific Grove, California 1963.
- R. Nabben, Two sided formels on the inverses of diagonally dominant tridiagonal matrices, Linear Algebra and its Applications 287 (1999), 289-305.
- C.R. Rao, Linear statistical inference and its applications. John Wiley & Sons Inc., New York-London-Sydney-Toronto 1973.
- P. Schönfeld, Methoden der Ökonometrie. Band I, Verlag Franz Vahlen GmbH, Berlin und Frankfurt am Main 1969.
- H.R. Schwarz, Numerische Mathematik. R.G. Teubner-Verlag, Stuttgart 1988.
- J.Stoer, Numerische Mathematik 1. 5. Auflage, Springer-Verlag, Berlin Heidelberg New York London Paris Tokyo Hong Kong 1989.
- 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.