Title:
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On the convergence of the dynamic stochastic approximation method for stochastic non-linear multidimensional dynamic systems (English) |
Author:
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Sorour, El Sayed |
Language:
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English |
Journal:
|
Kybernetika |
ISSN:
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0023-5954 |
Volume:
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14 |
Issue:
|
1 |
Year:
|
1978 |
Pages:
|
(28)-37 |
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Category:
|
math |
. |
MSC:
|
62L20 |
MSC:
|
93E10 |
idZBL:
|
Zbl 0371.62117 |
idMR:
|
MR0478509 |
. |
Date available:
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2009-09-24T17:00:12Z |
Last updated:
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2012-06-05 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/125403 |
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Reference:
|
[1] A. E. Albert L. A. Gardner: Stochastic approximation and non-linear regression.Research Monograph No. 42, M. I. T. Press. |
Reference:
|
[2] V. Dupač: A dynamic stochastic approximation method.The Annals of Mathematical Statistics 36 (1965), 6, 1695-1702. MR 0193724 |
Reference:
|
[3] V. Dupač: Stochastic approximation in the presence of the trend.Czechoslovak Mathematical Journal 16 (1966), 454-461. MR 0199921 |
Reference:
|
[4] Katsuji Uosaki: Some generalization of dynamic stochastic approximation process.The Annals of Statistics 2 (1974), 5, 1042-1048. MR 0359214 |
Reference:
|
[5] H. Robbins, S. Monro: A stochastic approximation method.The Annals of Mathematical Statistics 22 (1951), 400-407. Zbl 0054.05901, MR 0042668 |
Reference:
|
[6] J. B. Pearson: A note on non-linear filtering.IEEE Transactions of Automatic Control AC-13 (1968), 103-105. |
Reference:
|
[7] E. Sorour: Stochastic approximation methods.Candidate dissertation work. Institute of Information Theory and Automation of Czechoslovak Academy of Sciences in Prague. |
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