Earlier quoted context omitted.
> Among the bigger countries, Switzerland has the most per capita Nobel prizes. Be wary of any "per-capita" statistics. Statistically, averages work only if distributions are symmetric. Mean is a poor indicator of an asymmetric distribution. So, the question is - Do we have symmetric distributions for talent within each geographical area? We see similar arguments in sport but the assumption of symmetrical (normal) di…
> Statistically, averages work only if distributions are symmetric. I'm not really sure what you mean by that but I don't think you're correct. The law of large numbers applies to any distribution with finite first moment. You're probably right in that factors like wealth (and wealth distribution rather than per-capita wealth) affect a country's scientific output. But your stats argument is a bit wobbly :)
Can you explain, in context to what I said - what exactly is incorrect? I am very well versed with the theory of Law of Large numbers. The question is - "Why does the Law of Large Numbers tell us that per capita is a the right metric to compare Nobel Prize output of different countries?"