IID for Parameter Regression
I want to regress some values $v_i$ according to a function $f(x)$.
I know that there is this relationship between $v_i$ and $f(x)$. For every $1 \le i \le n$, there exists a point $(a\cdot i, \space b\cdot v_i)$ near the curve $(x, \space f(x))$ where $a$ and $b$ are constants.
$f(x)$ is a positive, continuously decreasing, smooth function.
$\lim_{x\rightarrow \infty} f(x) = 0$
Is there a proper way to perform this regression and get the constants $a$ and $b$? I have a few ideas, but I am worried that the regression would be incorrect since the distribution of the votes may or may not be iid.
What is the generally correct way to do this regression?
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- unanswered
- 258 views
- Pro Bono
Related Questions
- Prove that $\lim_{n\rightarrow \infty} \int_{[0,1]^n}\frac{|x|}{\sqrt{n}}=\frac{1}{\sqrt{3}}$
- Help me to understand the chi square distribution
- General understanding of statistics
- Weighted average issue
- Probability that a pump will fail during its design life
- Probability and Statistics Question
- What is the normal probability distribution function?
- Proper Test Selection for Repeated Interval Data Collection?
Questions at this level should generally come with a bounty.