Category Archives: Papers

Where Do Thin Tails Come From?

Where Do Thin Tails Come From?

Nassim Nicholas Taleb

(Submitted on 25 Jul 2013 (v1), last revised 29 Jul 2013 (this version, v2))

The literature of heavy tails (typically) starts with a random walk and finds mechanisms that lead to fat tails under aggregation. We follow the inverse route and show how starting with fat tails we get to thin-tails when deriving the probability distribution of the response to a random variable. We introduce a general dose-response curve and argue that the left and right-boundedness or saturation of the response in natural things leads to thin-tails, even when the “underlying” random variable at the source of the exposure is fat-tailed.

via [1307.6695] Where Do Thin Tails Come From?.
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In the U.S., when I look at a room with hotshot businessmen in 2014…

In the U.S., when I look at a room with hotshot businessmen in 2014, I know that the 2024 one will be different (except for businessess subject to bailouts). The same cannot be said in Europe or in places where the state is powerful. And if I look at the bureaucratic and academic establishments, the only people who would drop out of the 2014 cohort are the retired/deceased ones.
Static measurements of inequality are defective (in addition to their traditional lack of mathematical rigor). True equality in income is probabilistic: it requires downward mobility. This should map to opportunity. I quickly wrote down the sketch of what such a true measurement of equality would be like.

https://docs.google.com/file/d/0B8nhAlfIk3QIX3AzcHFkaGtORkU/edit

In the U.S., when I look at a room with hotshot… – Nassim Nicholas Taleb.

The Macrobullshit problem

158 The Macrobullshit problem, r=g, and why a degree in economics is very harmful analytically

I started my professional life as a foreign exchange option trader. Thirty years ago economists believed that “purchasing power parity” determined the “long term” currency rate between countries. And economists who became traders (plus traders stupid enough to listen to economists) kept blowing up by selling the “expensive” currency and buying the “cheap” one. And, if anything, the opposite held in reality: currencies that were expensive kept getting more expensive. So it became known that the fastest road to bankruptcy in foreign exchange was an economics degree. We would walk out of the trading floor anyone using the word “equilibrium”, and ban them from ever coming back. More analytically, saying “the long term” without attaching a period to it (six months, six years, six hundred years, etc.) is meaningless. The duration is more relevant than the idea that currencies “converge”.

In the Piketty case, the argument that the rate of growth and that of the return on capital need to be equal, that is r=g, “in the long term” is very similar. Except that in addition, Piketty mistook an equality of parameters for an equality of integrals and forgot to make them both stochastic, which would skew the return on capital by adding a small probability of ruin “Black Swan” style that would annihilate capital in the long run. r>g is a necessity most of the time, doesn’t mean r= E[r] outside crises. The other problem is that r and g depend on one another, and r drops when K is high.

Which bring me once again to silver rule (skin-in-the-game) problem and why ONE SHOULD NOT READ PRACTICAL STUFF ON ECONOMICS BY NONDECISIONMAKERS. Don’t be like the trader who is stupid enough to listen to economists. Every person who has skin in the game knows sort of what is bullshit and what is not, since our capacities to rationalize —and those of bureaucrats and economists —are way too narrow for the complexity of the world we face, with its complex interactions. And survival is a stamp of statistical validity, while rationalization and narratives are the road to the cemetery.

via Opacity.

A bit technical, but the paper on measure of concentration under fat tails…

A bit technical, but the paper on measure of concentration under fat tails –just finished — also mentions Pinker’s mistakes in “The Better Angel”, but dismissing Pinker’s thesis and conclusions from microscopic sample for fat tails doesn’t require more than one single sentence. We had to add two theorems so people don’t counter us with the use of unrigorous arguments and “opinions” a la Pinker & journalistic social scientists.
http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2434363

On the Biases and Variability in the Estimation of Concentration Using Bracketed Quantile…In fat-tailed domains, sample measures of top centile contributions to the total concentration are biased, unstable estimators extremely sensitive to sample …

via A bit technical, but the paper on measure of… – Nassim Nicholas Taleb.