@KriteeshP What this shows is that "P interior to KLM" => "P interior to the medial traingle" But this is trivial because the former is inscribed in the latter.
@KriteeshP I've nothing against (I am all for) the Indians' pride in their culture and history. But, for crying out loud, did anybody hear the word probability c. 600 BCE.
Let {x_k} be uniformly distributed on say, [-1,1] with the mean=0. Is that true that the variance is at least the square of the median? #FigureThat#math#probability
@dasanil@nntaleb @gcfr20 That is right. I now examples of statements whose "normal" proofs are rather convoluted, while, with a probabilistic interpretation, you have something short and elegant. E.g., https://t.co/9FMWx88L1V
@dasanil@nntaleb @gcfr20 I think you are trying to prove the inequality; I only asked about its possible probabilistic interpretation. Honestly, I indeed thought of using this interpretation for proving the inequality. Your ideas may be the right way of pursuing that goal
@nntaleb @gcfr20 I have a proof for this inequality. There is no doubt that the inequality holds under the stated condition. I was curious whether it admits a probabilistic interpretation