About induction, deduction, and transduction
I have noticed a new posting by Ya’acov Ritov on arXiv that discusses what the limits of the scope of Statistics should be:
“The paper argues that a part of the current statistical discussion is not based on the standard firm foundations of the field. Among the examples we consider are prediction into the future, semi-supervised classification, and causality inference based on observational data.”
I do not have currently enough free time to read it at a detailed enough level to make a sensible comment, but this sounds like an interesting discussion! At this stage, I cannot decide whether this is yet again a point about model shifts or if there is a more fundamental issue at stake. (Thankfully, Popper is not mentioned! But Taleb is…) It seems however that the paper claims that prediction about a single object is not statistically valid:
“We believe that predicting the future, that is, predicting one most important future event, is not a statistical task.“
and thus that statistics requires a long sequence of experiments to achieve validation, hence falling upon a frequentist justification…
March 11, 2010 at 3:34 pm
X: I took a look at this article and got nothing out of it! Mindful of our experience with our last blogging excursion into statistical philosophy, I decided to just leave this comment here rather than featuring on my blog and possibly starting another spiraling discussion. Regarding the above-cited article, I will just comment that, like many classical statisticians, the author of the article seems to have a very idealized view of random sampling.