Approximation and variance
HTML articles powered by AMS MathViewer
- by Arthur Sard
- Trans. Amer. Math. Soc. 73 (1952), 428-446
- DOI: https://doi.org/10.1090/S0002-9947-1952-0052688-X
- PDF | Request permission
References
- A. C. Aitken, Studies in practical mathematics. IV. On linear approximation by least squares, Proc. Roy. Soc. Edinburgh Sect. A 62 (1945), 138–146. MR 16697 —, On least squares and linear combinations of observations, ibid. vol. 55 (1935) pp. 42-48. C. F. Gauss, Theoria combinationis observationum erroribus minimis obnoxiae (1821, 1823, 1826), Werke, vol. 4, pp. 1-94, or Abhandlungen zur Methode der kleinsten Quadrate, Berlin, 1887, pp. 1-91.
- Paul R. Halmos, Introduction to Hilbert Space and the theory of Spectral Multiplicity, Chelsea Publishing Co., New York, N. Y., 1951. MR 0045309
- E. Hellinger and O. Toeplitz, Integralgleichungen und Gleichungen mit unendlichvielen Unbekannten, Chelsea Publishing Co., New York, N. Y., 1953 (German). MR 0056185
- A. Kolmogoroff, Interpolation und Extrapolation von stationären zufälligen Folgen, Bull. Acad. Sci. URSS. Sér. Math. [Izvestia Akad. Nauk SSSR] 5 (1941), 3–14 (Russian, with German summary). MR 0004416
- A. N. Kolmogorov, On the proof of the method of least squares, Uspehi Matem. Nauk (N.S.) 1(11) (1946), no. 1, 57–70 (Russian). MR 0020239 F. J. Murray, Linear transformations in Hilbert space, Princeton, 1941.
- Johann von Neumann, Mathematische Grundlagen der Quantenmechanik, Dover Publications, New York, 1943 (German). MR 0009560 M. H. Stone, Linear transformations in Hilbert space, New York, 1932. N. Wiener, Extrapolation, interpolation, and smoothing of stationary time series (with two appendices by N. Levinson), Cambridge, Mass., 1949.
Bibliographic Information
- © Copyright 1952 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 73 (1952), 428-446
- MSC: Primary 46.3X
- DOI: https://doi.org/10.1090/S0002-9947-1952-0052688-X
- MathSciNet review: 0052688