Math, finance, and statistics has always been a hobby of mine . . . unfortunately I was never brilliant enough to make a career out of it. One of the most popular bastardization of statistics is the concept of “long-tail” . . . by now, everytime someone mentions the “long tail” most people’s eye starts to roll . . .
Some people have already heard of Nassim Taleb and his Black Swan theory especially in the quant finance circle. In fact, it was on the NYT best seller list back in April. The recent melt down of the financial ecosystem, helped bring Taleb back into the spot light. Turns out, funds that were advised by Taleb returned over 50% this year.
Taleb’s book argues that history is littered with high- impact rare events known in quantitative finance as “fat tails.'’ As the founder of New York-based Empirica LLC, a hedge- fund firm he ran for six years before closing it in 2004, Taleb built a strategy based on options trading to bullet-proof investors from market blowups while profiting from big rallies.
When most statisticians build models, the outliers that produces spikes in the data are often considered “outliers” and ignored. (doesnt help that most elegant mathematical equations produces relatively smooth curves). So what you get is some sort of smooth model like the common bell curve / normal distribution, Poisson distribution, Pareto distribution (80/20 and/or long tail). Taleb; however, believes that these outlier events has such high impact even though its frequency is low, and as a result they cannot be ignored. In fact they should be EXPECTED. (Fat tail = high “impact” but low frequency). Taleb actually believes most statistics is useless because of its inability to model/predict/take into consideration black swan events.
(Possible) Examples (as I interpret it):
- Mutations which advances evolution
- Certain Wars (start of WWI)
- Natural disasters (Katrina)
- Terrorist actions (9/11)
- Meteor that killed the dinosaur
So what does all of this have to to with anything. Well, its interesting for one. For another, it make me wonder all the things we do as product marketers/managers do to try to load the deck in our favor such as user behavior modeling, customer research, competitive analysis etc etc are really not that “value additive” in the grand scheme of things. That all our attempts to rationalize not just the users, but our customers and the business value chain we are in, into neat frameworks and theories (like what statisticians do with numbers) are really useless when it comes to truly creating a stepwise advancement in our business or user adoption.
Ok, I’ve lost you.
How about this.
The iPhone, Pagerank, TCP/IP, the automobile.
These game changing innovation which created tremendous amount of value to society AND wealth to many many individuals. Are they the result of careful measurement, analysis, modeling, and design (aka White Swan) or are they random & rare stroke of genius and insight by a small group of people (aka the Black Swan)?
Not sure. Not that adding value a step at a time is such a bad thing but it does keep my mind churning at the end of the work day.




