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The three equations have three unknown functions, f$_{x}$ ∗ , f$_{u}$ and ρ. Assum- ing that support of ρ does not include the point 1, ρ can be expressed as a solution to a linear algebraic equation derived from the two equations in (3) that include ρ : 

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## 2.3 Regression models with classical and Berkson er- rors and the convolution equations 

## 2.3.1 The list of models 

The table below provides several regression models and the corresponding convolution equations involving density weighted conditional expectations. 

Table 2. Regression models: 5. Regression with classical measurement error and an additional observation; 6. Regression with Berkson error ( x, y, z are observable); 7. Regression with zero mean measurement error and Berkson instruments. 

