Statistical Analysis of Composite Spectra

Details Statistical Analysis of Composite Spectra Statistical Analysis of Composite Spectra

2002-12-12

arxiv.org/abs/physics/0212049v3

Annals Phys. 321 (2006) 560-580

Physics

Data Analysis, Statistics and Probability

26 pages, 3 figures; v3: changed conclusions, appendix added

Scientific paper

10.1016/j.aop.2005.04.005

We consider nearest neighbor spacing distributions of composite ensembles of levels. These are obtained by combining independently unfolded sequences of levels containing only few levels each. Two problems arise in the spectral analysis of such data. One problem lies in fitting the nearest neighbor spacing distribution to the histogram of level spacings obtained from the data. We show that the method of Bayesian inference is superior to this procedure. The second problem occurs when one unfolds such short sequences. We show that the unfolding procedure generically leads to an overestimate of the chaoticity parameter. This trend is absent in the presence of long-range level correlations. Thus, composite ensembles of levels from a system with long-range spectral stiffness yield reliable information about the chaotic behavior of the system.

Affiliated with

Also associated with

No associations

Rating

Statistical Analysis of Composite Spectra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Statistical Analysis of Composite Spectra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Statistical Analysis of Composite Spectra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-404632