It's at least twenty years ago that I had a notion: the mathematical and statistical worlds of statistics, mathematics, physics, astronomy, biology and chemistry must have a lot to teach the world of accounting and business. Due to a lack of knowledge of these areas and a lack of time and opportunity to garner such knowledge, I let it lie.
Now, I have been proven prophetic and, I suppose, impotent at the same time. I still know very little of the areas I have just mentioned but articles have appeared over the last twenty years that show how right I was.
For example, I have just read this mini article, officially called a conversation starter, ‘Power curves’: What natural and economic disasters have in common from the McKinsey Quarterly journal. It shows the relationship between frequency and magnitude and so on in terms of power curves. Accountants are wont to use straight lines, with some justification I should add, whilst those of us more gifted can work with power curves, logarithmic curves, exponentials and so on.
Here's one such curve to whet your appetite: the corporate bankruptcy curve
Where X = rank by size of assets; and Y = size of 15 largest US public company bankruptcy filings by assets, 2001 - 2008 in billion real 2000 Dollars
See
http://www.mckinseyquarterly.com/Strategy/Globalization/Power_curves_What_natural_and_economic_disasters_have_in_common_2376 for a much larger version and the whole conversation starter. Forgive me if you need to be a subscriber to the McKinsey site to see this in full ... I am so I never get a message telling me to sign up!
If you can access that page, you can join in the conversation ... one or two very interesting points being made there!
You should also read Using ‘power curves’ to assess industry dynamics. I am pretty sure you need to be a subscriber to read this one. http://www.mckinseyquarterly.com/Using_power_curves_to_assess_industry_dynamics_2222
Gradely as we say in Yorkshire!
DW