I have this regression model
fy=randn(1000,1);x1=randn(1000,1);x2=randn(1000,1);u=randn(1000,1);fy=a*x1+b*x2+c*u; %regression model
where fy is the dependent variable,
x1 and x2 are the independent variables,
u is the error term which is standard normally distributed,
a and b are the coefficients
and c is the square root of the variance.
My goal is to estimate the scalars a,b and c. Is there a way to do that?