Sufficiency in linear models
Statistical analysis of diabetes mellitus
This paper deals with an application of regression analysis to the regulation of the blood-sugar under diabetes mellitus. Section 2 gives a description of Gram-Schmidt orthogonalization, while Section 3 discusses the difference between Gauss-Markov estimation and Least Squares Estimation. Section 4 is devoted to the statistical analysis of the blood-sugar during the night. The response change of blood-sugar is explained by three variables: time, food and physical activity ("Bewegung"). At the beginning...
Hsu's theorem in variance component models
Autoregressive error-processes, cubic splines and tridiagonal matrices
In the paper formulate for the inversion of some tridiagonal matrices are given. The results can be applied to the autoregressive processes.
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