The DOI matches its Crossref record; 23 of the 23 references it cites were found in a registry or an index.
ARCH models as diffusion approximations
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
Generalized autoregressive conditional heteroskedasticity
Bollerslev, T. (1986) · Journal of Econometrics · doi:10.1016/0304-4076(86)90063-1 · Cited by 22,254
Engle, R. F. (1982) · Econometrica · doi:10.2307/1912773 · Cited by 20,795
Convergence of Probability Measures
Billingsley, P. (1999) · Wiley Series in Probability and Statistics · doi:10.1002/9780470316962 · Cited by 13,910
Conditional Heteroskedasticity in Asset Returns: A New Approach
Nelson, D. B. (1991) · Econometrica · doi:10.2307/2938260 · Cited by 10,236
Self-citationConvergence of Probability Measures
Kingman, J. F. C., & Billingsley, P. (1969) · Revue de l'Institut International de Statistique / Review of the International Statistical Institute · doi:10.2307/1402124 · Cited by 6,812
An Intertemporal Capital Asset Pricing Model
Merton, R. C. (1973) · Econometrica · doi:10.2307/1913811 · Cited by 6,508
Option pricing: A simplified approach
Cox, J. C., Ross, S. A., & Rubinstein, M. (1979) · Journal of Financial Economics · doi:10.1016/0304-405x(79)90015-1 · Cited by 6,083
Spectral Analysis and Time Series
Preston, D. B. (1983) · Technometrics · doi:10.1080/00401706.1983.10487866 · Cited by 5,011
Markov Processes: Characterization and Convergence.
Abakuks, A., Ethier, S. N., & Kurtz, T. G. (1987) · Biometrics · doi:10.2307/2531839 · Cited by 4,233
Irreversibility, Uncertainty, and Cyclical Investment
Bernanke, B. S. (1983) · The Quarterly Journal of Economics · doi:10.2307/1885568 · Cited by 4,112
Cited by
Answering the Skeptics: Yes, Standard Volatility Models do Provide Accurate Forecasts
Andersen, T. G., & Bollerslev, T. (1998) · International Economic Review · doi:10.2307/2527343 · Cited by 3,375
The Crash of ʼ87: Was It Expected? The Evidence from Options Markets
BATES, D. S. (1991) · The Journal of Finance · doi:10.1111/j.1540-6261.1991.tb03775.x · Cited by 874
The econometrics of financial markets
Pagan, A. (1996) · Journal of Empirical Finance · doi:10.1016/0927-5398(95)00020-8 · Cited by 873
TEMPORAL AGGREGATION OF UNIVARIATE AND MULTIVARIATE TIME SERIES MODELS: A SURVEY
Silvestrini, A., & Veredas, D. (2008) · Journal of Economic Surveys · doi:10.1111/j.1467-6419.2007.00538.x · Cited by 348
Option valuation with conditional skewness
Christoffersen, P., Heston, S., & Jacobs, K. (2006) · Journal of Econometrics · doi:10.1016/j.jeconom.2005.01.010 · Cited by 281
Metadata
- Authors
- Nelson, D. B.
- Venue
- Journal of Econometrics
- Publisher
- Elsevier BV
- Published
- 1990-07
- Volume
- 45
- Issue
- 1-2
- Pages
- 7-38
- ISSN
- 0304-4076 (ISSN-L)
- OpenAlex
- W1994177366
- Cited by
- 938
- References
- 23
- FWCI
- 24.59
- Type
- journal article
- Language
- en
- Open access
- closed
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: ARCH models as diffusion approximations. https://app.cochat.ai/papers/10.1016/0304-4076(90)90092-8
- The paper
- Nelson, D. B. (1990). ARCH models as diffusion approximations. Journal of Econometrics. https://doi.org/10.1016/0304-4076(90)90092-8
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.