A mathematical definition of the financial bubbles and crashes

作者：Watanabe Kota^*; Takayasu Hideki; Takayasu Misako

来源：Physica A: Statistical Mechanics and Its Applications , 2007, 383(1): 120-124.

DOI：10.1016/j.physa.2007.04.093

• financial market
• bubble
• crash

We check the validity of the mathematical method of detecting financial bubbles or crashes, which is based on a data fitting with an exponential function. We show that the period of a bubble can be determined nearly uniquely independent of the precision of data. The method is widely applicable for stock market data such as the Internet bubble.

• 出版日期2007-9-1