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IV.—On Least Squares and Linear Combination of Observations
Abstract
In a series of papers W. F. Sheppard (1912, 1914) has considered the approximate representation of equidistant, equally weighted, and uncorrelated observations under the following assumptions:– (i) The data being u 1, u 2, …, u n, the representation is to be given by linear combinations (ii) The linear combinations are to be such as would reproduce any set of values that were already values of a polynomial of degree not higher than the k th. (iii) The sum of squared coefficients which measures the mean square error of y i, is to be a minimum for each value of i.
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Cited by
An analysis of variance test for normality (complete samples)
SHAPIRO, S. S., & WILK, M. B. (1965) · Biometrika · doi:10.1093/biomet/52.3-4.591 · Cited by 23,480
A graphical tool for locating inconsistency in network meta-analyses
Krahn, U., Binder, H., & König, J. (2013) · BMC Medical Research Methodology · doi:10.1186/1471-2288-13-35 · Cited by 458
LEAST-SQUARES ESTIMATION OF LOCATION AND SCALE PARAMETERS USING ORDER STATISTICS
LLOYD, E. H. (1952) · Biometrika · doi:10.1093/biomet/39.1-2.88 · Cited by 451
Tracking and Kalman Filtering Made Easy
Brookner, E. (1998) · doi:10.1002/0471224197 · Cited by 435
Khan, I., Hou, F., Irfan, M., Zakari, A., & Le, H. P. (2021) · Renewable and Sustainable Energy Reviews · doi:10.1016/j.rser.2021.111157 · Cited by 363
Metadata
- Authors
- Aitken, A. C.
- Venue
- Proceedings of the Royal Society of Edinburgh
- Publisher
- Cambridge University Press (CUP)
- Published
- 1936
- Volume
- 55
- Pages
- 42-48
- ISSN
- 0370-1646 (ISSN-L)
- OpenAlex
- W2467077495
- Cited by
- 948
- References
- 0
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
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