I was wondering if the No Free Lunch (NFL) theorem applies to even the estimation problem. Suppose there are $N$ points in the input. We are trying to estimate the mean value say weights associated with the $N$ points. By randomly selecting $n$ of the $N$ points, we obtain an unbiased estimate of the population mean weight.

However, the NFL states that the knowledge of the $n$ doesn't imply the goodness of the estimate of the remaining $N-n$ points. Does this mean there is no best estimator of the population mean in statistics?

I will also be very grateful if someone could share some papers on NFL in sampling and statistics since I haven't been able to find them yet.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.