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Statistical Methods for Fuzzy Data by Reinhard Viertl

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Chapter 19

a. Polynomial regression functions are linear with respect to the parameters θ0,…,θk.

Taking xj = xj this kind of regression models can be written in the following form:

Unnumbered Display Equation

This is a special form of the linear regression model (19.4).

b. The classical linear regression function can be written as general linear model based on the following functions fj(·):

Unnumbered Display Equation

c. Assumption (3) in Theorem 19.1 implies that Yxi, i = 1 (1)n are independent.

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