The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Estimation and information in stationary time series
Abstract
Section (1) is devoted to a discussion of the model-fitting problem, which finds its explicit solution in equation (1.13). In section (2) the maximum likelihood, (ML), estimates of the model parameters are investigated, and for the class of series considered shown to possess the same optimum properties as in the case of independent series. Next, the covariance matrix of the parameter estimates is expressed in terms of the spectral function of the generating process (eq. 3.7). The last section is concerned with certain working approximations to the ML statistics.
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
Extrapolation, Interpolation, and Smoothing of Stationary Time Series: With Engineering Applications
Wiener, N. (1949) · The MIT Press eBooks · doi:10.7551/mitpress/2946.001.0001 · Cited by 4,826
Wald, A. (1943) · Transactions of the American Mathematical Society · doi:10.1090/s0002-9947-1943-0012401-3 · Cited by 2,511
On the Theoretical Specification and Sampling Properties of Autocorrelated Time-Series
Bartlett, M. S. (1946) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.2307/2983611 · Cited by 908
A Study in the Analysis of Stationary Time Series
Bartlett, M. S., & Wold, H. (1955) · Econometrica · doi:10.2307/1907883 · Cited by 745
Hypothesis Testing in Time Series Analysis.
Moran, P. A., & Whittle, P. (1951) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2981095 · Cited by 322
Self-citationMost Powerful Tests of Composite Hypotheses. I. Normal Distributions
Lehmann, E. L., & Stein, C. (2011) · Springer eBooks · doi:10.1007/978-1-4614-1412-4_13 · Cited by 38
Cited by
Spectrum estimation and harmonic analysis
Thomson, D. J. (1982) · Proceedings of the IEEE · doi:10.1109/proc.1982.12433 · Cited by 4,418
Fitting time series models to nonstationary processes
Dahlhaus, R. (1997) · The Annals of Statistics · doi:10.1214/aos/1034276620 · Cited by 924
Vrugt, J. A. (2016) · Environmental Modelling & Software · doi:10.1016/j.envsoft.2015.08.013 · Cited by 851
Comparison of short-term rainfall prediction models for real-time flood forecasting
Toth, E., Brath, A., & Montanari, A. (2000) · Journal of Hydrology · doi:10.1016/s0022-1694(00)00344-9 · Cited by 493
Montanari, A., Rosso, R., & Taqqu, M. S. (1997) · Water Resources Research · doi:10.1029/97wr00043 · Cited by 289
Numerical Identification of Linear Dynamic Systems from Normal Operating Records
Åström, K.-J., & Torsten, B. (1965) · IFAC Proceedings Volumes · doi:10.1016/s1474-6670(17)69024-4 · Cited by 272
Fractional Gaussian noise, functional MRI and Alzheimer's disease
Maxim, V., Şendur, L., Fadili, J., Suckling, J., Gould, R., Howard, R., & Bullmore, E. (2005) · NeuroImage · doi:10.1016/j.neuroimage.2004.10.044 · Cited by 272
Asymptotically Efficient Estimation of Covariance Matrices with Linear Structure
Anderson, T. W. (1973) · The Annals of Statistics · doi:10.1214/aos/1193342389 · Cited by 269
Montanari, A. (2005) · Water Resources Research · doi:10.1029/2004wr003826 · Cited by 231
Krafty, R. T., Fu, H., Graves, J. L., Bruce, S. A., Hall, M. H., & Smagula, S. F. (2019) · Statistics in Biosciences · doi:10.1007/s12561-018-09230-2 · Cited by 23
Metadata
- Authors
- Whittle, P.
- Venue
- Arkiv för Matematik
- Publisher
- International Press of Boston
- Published
- 1953-08
- Volume
- 2
- Issue
- 5
- Pages
- 423-434
- ISSN
- 0004-2080 (ISSN-L)
- OpenAlex
- W1997927852
- Cited by
- 558
- References
- 6
- FWCI
- 0.00
- 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
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.