The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.
Estimating long-range dependence: finite sample properties and confidence intervals
Open accessAbstract
A major issue in financial economics is the behavior of asset returns over long horizons. Various estimators of long range dependence have been proposed. Even though some have known asymptotic properties, it is important to test their accuracy by using simulated series of different lengths. We test R/S analysis, Detrended Fluctuation Analysis and periodogram regression methods on samples drawn from Gaussian white noise. The DFA statistics turns out to be the unanimous winner. Unfortunately, no asymptotic distribution theory has been derived for this statistics so far. We were able, however, to construct empirical (i.e. approximate) confidence intervals for all three methods. The obtained values differ largely from heuristic values proposed by some authors for the R/S statistics and are very close to asymptotic values for the periodogram regression method.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
The Fractal Geometry of Nature
Mandelbrot, B. B., & Wheeler, J. A. (1983) · American Journal of Physics · doi:10.1119/1.13295 · Cited by 21,832
The Fractal Geometry of Nature.
Sparrow, C., & Mandelbrot, B. (1984) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2981858 · Cited by 14,546
Breitung, J., & Hamilton, J. D. (1995) · Contemporary Sociology · doi:10.2307/2076916 · Cited by 10,966
The Fractal Geometry of Nature
Mandelbrot, B. B., & Longley, P. (1982) · CERN Document Server (European Organization for Nuclear Research) · Cited by 7,293
Long-Term Storage Capacity of Reservoirs
Hurst, H. E. (1951) · Transactions of the American Society of Civil Engineers · doi:10.1061/taceat.0006518 · Cited by 6,212
Mosaic organization of DNA nucleotides
Peng, C.-K., Buldyrev, S. V., Havlin, S., Simons, M., Stanley, H. E., & Goldberger, A. L. (1994) · Physical Review E · doi:10.1103/physreve.49.1685 · Cited by 4,985
EDF Statistics for Goodness of Fit and Some Comparisons
Stephens, M. A. (1974) · Journal of the American Statistical Association · doi:10.1080/01621459.1974.10480196 · Cited by 3,166
THE ESTIMATION AND APPLICATION OF LONG MEMORY TIME SERIES MODELS
Geweke, J., & Porter‐Hudak, S. (1983) · Journal of Time Series Analysis · doi:10.1111/j.1467-9892.1983.tb00371.x · Cited by 2,931
Long-Term Memory in Stock Market Prices
Lo, A. W. (1991) · Econometrica · doi:10.2307/2938368 · Cited by 1,710
Long-term Memory in Stock Market Prices
Lo, A. (1989) · National Bureau of Economic Research · doi:10.3386/w2984 · Cited by 1,433
Cited by
Modeling and Forecasting Electricity Loads and Prices: A Statistical Approach
Weron, R. (2006) · doi:10.1002/9781118673362 · Cited by 708
Self-citationMultifractal analysis of financial markets: a review
Jiang, Z.-Q., Xie, W.-J., Zhou, W.-X., & Sornette, D. (2019) · Reports on Progress in Physics · doi:10.1088/1361-6633/ab42fb · Cited by 423
Fertile LAND: Pricing non-fungible tokens
Dowling, M. (2022) · Finance Research Letters · doi:10.1016/j.frl.2021.102096 · Cited by 408
Some comments on Hurst exponent and the long memory processes on capital markets
Sánchez Granero, M. A., Trinidad Segovia, J. E., & García Pérez, J. (2008) · Physica A: Statistical Mechanics and its Applications · doi:10.1016/j.physa.2008.05.053 · Cited by 276
Kelwade, J. P., & Salankar, S. S. (2016) · 2016 IEEE First International Conference on Control, Measurement and Instrumentation (CMI) · doi:10.1109/cmi.2016.7413789 · Cited by 36
Metadata
- Authors
- Weron, R.
- Venue
- Physica A: Statistical Mechanics and its Applications
- Publisher
- Elsevier BV
- Published
- 2002-09
- Volume
- 312
- Issue
- 1-2
- Pages
- 285-299
- ISSN
- 2331-8422 (ISSN-L)
- 0378-4371
- OpenAlex
- W2951044827
- Cited by
- 409
- References
- 26
- Type
- posted content
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Estimating long-range dependence: finite sample properties and confidence intervals. https://app.cochat.ai/papers/10.1016/s0378-4371(02)00961-5
- The paper
- Weron, R. (2002). Estimating long-range dependence: finite sample properties and confidence intervals. Physica A: Statistical Mechanics and its Applications. https://doi.org/10.1016/s0378-4371(02)00961-5
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.