Ambiguities in estimates of critical exponents for long-range dependent processes
โ Scribed by Ken Duffy; Christopher King; David Malone
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 241 KB
- Volume
- 377
- Category
- Article
- ISSN
- 0378-4371
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Detrended fluctuation analysis (DFA) has been used widely to determine possible long-range correlations in data obtained from diverse settings. In a recent study [Z. Chen, P.Ch. Ivanov, K. Hu, H.E. Stanley, Effects of nonstationarities on detrended fluctuation analysis, Phys Rev E 65 ( 2002) 041107]
Suppose our data {Xn} come from the model Xt = โ j = 0 cjZt-j, where {Zn} are i.i.d. with a symmetric distribution function which lies in the domain of normal attraction of a stable law with index โ (1; 2). Further we assume that cj = j d-1 L(j), where parameter d โ (0; 1 -1= ) and L is a normalized