Keywords
- Covariance Function
- Lipschitz Condition
- Dimensional Distribution
- Conditional Moment
- Gaussian Sequence
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References
Kagan A.M., Linnik Yu.V. and Rao C.R. Characterization problems in Mathematical statistics. John Wiley, New York, 1973.
Lukacs E., Laha R.G. Applications of characteristic functions. London, 1964.
Hardin C. On the linearity of regression.-Z.Wahrscheinlichkeitstheorie und verw. Gebiete, 1982, v.61, p.293–302.
Bryc W., Plucińska A.-A characterization of infinite Gaussian sequence by the conditional moments (in print).
A. Plucińska. On a stochastic process determined by the conditional expectation and the conditional variance.-Stochastics, 1983, v.10, N 2, p.115–129.
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© 1985 Springer-Verlag
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Plucińska, A. (1985). A characterization of Gaussian distribution by the linearity of conditional moments. In: Kalashnikov, V.V., Zolotarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 1155. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074825
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DOI: https://doi.org/10.1007/BFb0074825
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Publisher Name: Springer, Berlin, Heidelberg
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Online ISBN: 978-3-540-39686-4
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