Bemerkungen zu einer allgemeinen definition rekursiver sch
tzungen mit anwendungsbeispielen
Author:
Joachim Bellach a
| Affiliation: | a Sektion Mathematik, Humboldt-Universit t, Berlin |
DOI:
10.1080/02331887908801493
Publication Frequency:
6 issues per year
Subjects:
Mathematical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
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Abstract
In this note the author tried to give a general definition of the recursivity of estimation functions. Starting from a special structure of estimations there are recursive forms for the parameter estimations in linear regression models and in linear difference equation models given. The well-known formulas for the recursive form of LSE and the GLSE with block diagonal covariance structure become special cases of the general recursive forms in this note. As a generalisation of the formulas by T. O. LEWIN and P. L. ODELL a recursive form of the GLSE in the linear difference equation model with a disturbance, defined by an autoregressive process of p-th order is given.
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