1
vote
0answers
14 views

General 2D taylor surfaces from axial behaviour and discrete points

I have a problem as follows: I have a nonlinear function, f(x,y), for which I (numerically) know the axial behaviours, f(x,y0) and f(x0,y), where x0 and y0 are constants. I can calculate discrete ...
1
vote
0answers
38 views

Sequential problem for n=1, non linear regression

I am trying to understand an example in my stats course notes, the example relates to calculating the best value for the next experiment. The function of the line is very simple: $$ln(Y_i) = ...
0
votes
1answer
31 views

Second order least squares problem with one parameter

I want to fit a set of measured data $x_i$ and $y_i$ to the expression: $$ \beta^2 + \beta x_i = y_i $$ $\beta$ is my only free parameter. Although this is a really simple expression, the standard ...
0
votes
1answer
63 views

Finding the value which minimises all residuals

I have a series of observations, measurements made at various times $t$. I now need to determine the most likely value of $R$ (distance) using the model below. The guide says I should find the value ...
1
vote
1answer
51 views

Is there a name for this general problem (variation on least squares)?

The problem statement is as follows. Minimize $||g(X\beta)-y||^2$ with respect to $\beta$ where $g(\cdot)$ is some non-linear function, $y$ and $\beta$ are column vectors. General linear least ...