The Continuous Scale Behaviour of Random Cascading Model
- Received Date: 1900-01-01
- Accepted Date: 1900-01-01
- Available Online: 1996-08-05
Abstract: The traditional method of calculating factorial moments with discretely diminishing scale is generalized to the case of continuously varying scale. It is shown that the random cascading model currently used has a "Chain effect" With continuously diminishing scale. Taking the actual processes of experiment into account, a revised model is proposed which can give good scaling property also for continuously varying scale when the volume and location of phase space region in consideration are fluctuating randomly. The fluctuation parameter of phase space region meeting this condition is insensitive to the model parameter α. This kind of fluctuation of phase space is proved via Monte Carlo simulation to have no big influence upon the anomalous scale index.