The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
Least-squares estimation: from Gauss to Kalman
Abstract
This discussion is directed to least-squares estimation theory, from its inception by Gauss1 to its modern form, as developed by Kalman.2 To aid in furnishing the desired perspective, the contributions and insights provided by Gauss are described and related to developments that have appeared more recently (that is, in the 20th century). In the author's opinion, it is enlightening to consider just how far (or how little) we have advanced since the initial developments and to recognize the truth in the saying that we ``stand on the shoulders of giants.''
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Citations
Cites
A New Approach to Linear Filtering and Prediction Problems
Kalman, R. E. (1960) · Journal of Basic Engineering · doi:10.1115/1.3662552 · Cited by 31,751
A Stochastic Approximation Method
Robbins, H., & Monro, S. (1951) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177729586 · Cited by 9,643
New Results in Linear Filtering and Prediction Theory
Kalman, R. E., & Bucy, R. S. (1961) · Journal of Basic Engineering · doi:10.1115/1.3658902 · Cited by 6,387
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
Stochastic Estimation of the Maximum of a Regression Function
Kiefer, J., & Wolfowitz, J. (1952) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177729392 · Cited by 2,133
On the identification of variances and adaptive Kalman filtering
Mehra, R. (1970) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1970.1099422 · Cited by 1,415
Kailath, T. (1968) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1968.1099025 · Cited by 742
Filtering for stochastic processes with applications to guidance
Bucy, R. S., & Joseph, P. D. (1968) · Defense Technical Information Center (DTIC) · Cited by 546
Antosiewicz, H. A., & Leondes, C. T. (1966) · Mathematics of Computation · doi:10.2307/2003574 · Cited by 430
001: On an Absolute Criterion for Fitting Frequency Curves.
Fisher, R. A. (1912) · Adelaide Research & Scholarship (AR&S) (University of Adelaide) · Cited by 393
Cited by
Fischler, M. A., & Bolles, R. C. (1981) · Communications of the ACM · doi:10.1145/358669.358692 · Cited by 25,893
An introduction to multisensor data fusion
Hall, D. L., & Llinas, J. (1997) · Proceedings of the IEEE · doi:10.1109/5.554205 · Cited by 2,629
Fischler, M. A., & Bolles, R. C. (1987) · Readings in Computer Vision · doi:10.1016/b978-0-08-051581-6.50070-2 · Cited by 2,122
SCAAT: incremental tracking with incomplete information
Welch, G., & Bishop, G. (1997) · Proceedings of the 24th annual conference on Computer graphics and interactive techniques - SIGGRAPH '97 · doi:10.1145/258734.258876 · Cited by 271
Autonomous exploration: driven by uncertainty
Whaite, P., & Ferrie, F. P. (1997) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.584097 · Cited by 240
Metadata
- Authors
- Sorenson, H. W.
- Venue
- IEEE Spectrum
- Published
- 1970-07
- Volume
- 7
- Issue
- 7
- Pages
- 63-68
- ISSN
- 0018-9235 (ISSN-L)
- OpenAlex
- W2170081783
- Cited by
- 746
- References
- 15
- FWCI
- 9.85
- Type
- journal article
- Language
- en
- Open access
- closed
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