Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
975963 | Physica A: Statistical Mechanics and its Applications | 2011 | 10 Pages |
Abstract
Using the uniform most powerful unbiased test, we observed the sales distribution of consumer electronics in Japan on a daily basis and report that it follows both a lognormal distribution and a power-law distribution and depends on the state of the market. We show that these switches occur quite often. The underlying sales dynamics found between both periods nicely matched a multiplicative process. However, even though the multiplicative term in the process displays a size-dependent relationship when a steady lognormal distribution holds, it shows a size-independent relationship when the power-law distribution holds. This difference in the underlying dynamics is responsible for the difference in the two observed distributions.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Ryohei Hisano, Takayuki Mizuno,