Tail event: Difference between revisions

no edit summary
No edit summary
No edit summary
Line 1: Line 1:
{{freeessay|isda|tail events|}}{{d|Tail event||n|}}
{{freeessay|isda|tail events|}}{{d|Tail event||n|}}
{{L1}}'''Statistics''': Of a range of possible independent events, one whose frequency is three or more standard deviations from the mean. An event with a low probability <li>
{{L1}}'''Statistics''': Of a range of possible independent events, one whose frequency is three or more [[Normal distribution|standard deviation]]s from the mean. An event with a low [[probability]]. <li>
'''Work life''': An unwanted outcome you didn’t expect and don’t think you should be blamed for.
'''Work life''': An unwanted outcome to which you weren’t paying attention, which you didn’t expect and, therefore, for which you don’t think you should be blamed.
</Ol>
</Ol>
We are, as the JC frequently complains, in swoon to the [[Reductionism|reducibility]] of all things. This usually involves converting all things that we do and that happen to us into numerical [[data]] points. Data points, in themselves, are no more  naturally [[effable]] than “things that happen to us”, of course, but numbers have the quality of submitting easily to aggregation and symbolic manipulation statistical techniques, in a way that “things that happen to us” do not.  
We are, as the JC frequently complains, in a swoon to the [[Reductionism|reducibility]] of all things.  


One can calculate an mean median and mode of a number, and one can subject standardised events to probability calculations. In the same way that I can calculate the probability of rolling consecutive sixes on a die (1/36), so we can calculate the probability of rain tomorrow, a tax cut in the spring, or a thirty point intraday drop in the NASDAQ.
This usually involves converting all the things that we do and that happen to us into numerical [[data]] points.  


Numbers are under control. They ''behave''. The bend to the spreadsheet ’s will.  
Data points, in themselves, are no more naturally [[effable]] than “odd things that happen to us” from which they are extruded, of course. But numbers have the quality of submitting easily to aggregation, symbolic manipulation and statistical techniques, in a way that “odd things that happen to us” do not.
 
Once one has rendered as data, one can calculate a mean, median and mode. One can formulate probability calculations.
 
In the same way that one can calculate the probability of rolling consecutive sixes (1/36) so, it seems, one can calculate the probability of rain tomorrow, a cut in stamp duty in the spring, or a thirty-point intraday drop in the NASDAQ.
 
Numbers are under our control. They ''behave''. They bend to the spreadsheet’s will.  


Except, as [[David Viniar]]’s immortal words remind us, the events these numbers represent — the territory for which they are a map — are wont to have other ideas.  
Except, as [[David Viniar]]’s immortal words remind us, the events these numbers represent — the territory for which they are a map — are wont to have other ideas.  


There is a great difference between a rolling die and a stock market. A rolling die is a “[[nomological machine]]”: a carefully constrained, sealed environment designed specifically to yield the theoretical outcome. The map is, as far as engineering permits, materially identical to the territory. We can, indeed, generate an indistinguishable outcome purely by running the model with a random number generator. The machined dice, the flat, constrained surface — these are a representation of the reality, which is the hypothetical model, and not the other way around.  A loaded die is a ''flawed'' machine. You don't chuck out the theory: you chuck out the equipment.
{{quote|{{viniarquote}}}}
 
But there is a great difference between rolling dice and a stock market. A die is a “[[nomological machine]]”: a carefully constrained, sealed environment, designed to yield a specific theoretical outcome. The dice-rolling map is, as far as engineering permits, ''identical'' to the dice-rolling territory. We can, indeed, generate an indistinguishable outcome purely by running the model with a random number generator. The machined dice, the flat, constrained surface — these are a representation of the reality, which is the hypothetical model, and not the other way around.  A loaded die is a ''flawed'' machine. You don't chuck out the theory: you chuck out the equipment.


Likewise, if, inside your nomological machine there is a mischievous imp who catches and places the die as it sees fit, the conditions for your probabilistic calculation do not prevail. There is an interfering casual agent.  
Likewise, if, inside your nomological machine there is a mischievous imp who catches and places the die as it sees fit, the conditions for your probabilistic calculation do not prevail. There is an interfering causal agent.  


Nomological machines are highly constrained, artificial, environments. If all their conditions are not satisfied, we can expect the world to behave differently without validating the machine. This is how, as Nancy Cartwright put it the laws of physics lie.
“Nomological machines” are highly constrained, artificial environments. If all their conditions are not satisfied, we can expect the world to behave differently without validating the machine. This is how, as [[Nancy Cartwright]] put it “the laws of physics lie”.


In any case these are the circumstances in which the rules of probability prevail.  Should the universe misbehave  
In any case, these are the circumstances in which the rules of probability prevail.  Should the universe misbehave  


====Derivatives trading====
====Derivatives trading====
Line 42: Line 50:


Customers have less incentive to break trades if it means realising
Customers have less incentive to break trades if it means realising
{{sa}}
*[[The map and the territory]]