The fact that Alex Castaldo doesn't understand it doesn't mean that ALL people won't ...

See Appendix ASILENT RISK

Indeed PCAs will be necessarily unstable ?anything related to variance.So are correlations of course.

Hello again,Would love to get comments about this result. Thank you in advance. Errors on Errors

Stable distributions make no difference. Solved for ALL unimodal distributions.

Hello,There is a new paper. Technical comments are welcome. Thank you in advance.New PaperNassim

Thanks for offering. Math only. The rest is for editors.ThanksN

Dear friends, I have a new document on the web, a long technical treatise. Volume 1 is nearly complete. Please feel free to nitpick and tear apart the math. I am leaving it there so friends and enemies detect math mistakes.MonographThank you,Nassim

<t>Thanks a milliony is a function of x, or something else, but it has a distribution. So I treat it as a random variable (by convex/concave transformation). x itself might be a function of something else. So it is the payoff taken the end random variable, that matters.T4a isn't it clear enough in t...

<t>Dear friends, I wonder if someone sees flaws or has some practical disagreement with this method to detect fragility. Don't worry about your comment, I can sift through the more or less intelligent insults in search of substance. Last time I received helpful comments from Traden4AlphaFragility He...

If my mapping is right, albeit simplified and limited to a known source of randomness, then the second step is evident: a measure of fragility in terms of concavity to a parameter.

All nonlinearities can be expressed in terms of logistic functions.I am puzzled as to for an individual organism (no aggregate, forget macro) whether my mapping is right.

<t>The idea of fragility as convexity. You can map it into potential energy, but this representation uses a simple generator (at the top of the stairs you release energy by coming down, at the bottom you need it to climb). T4A seems to look at how mush energy is needed to push the object to fall, no...

<t>Hi, thanks for the comments.The point is settled: there is a trade-off of convexity between entities (managers have the options, investors sold -unwittingly). The aggregate systemic effect...(nature achieves overall antifragility by having fragile --but uncorrelated -- components. the aggregate i...