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1.

図書
図書
1. Optimization of stochastic systems : topics in discrete-time systems
Masanao Aoki
出版情報: New York : Academic Press, 1967  xv, 354 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 32
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2.

図書
図書
2. Stochastic processes and estimation theory with applications
Touraj Assefi
出版情報: New York : Wiley, c1979  xi, 291 p. ; 24 cm
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3.

図書
図書
3. Introduction to stochastic control theory
Karl J. Åström
出版情報: New York : Academic Press, 1970  xi, 299 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 70
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目次情報: 続きを見る
Preface
Contents
Overview / 1：
Methods of Operator Approximation in System Modelling / I：
Nonlinear Operator Approximation with Preassigned Accuracy / 2：
Introduction / 2.1：
Generic formulation of the problem / 2.2：
Operator approximation in space C([0; 1]) / 2.3：
Operator approximation in Banach spaces by polynomial operators / 2.4：
Approximation on compact sets in topological vector spaces / 2.5：
Approximation on noncompact sets in Hilbert spaces / 2.6：
Special results for maps into Banach spaces / 2.7：
Concluding remarks / 2.8：
Interpolation of Nonlinear Operators 65 / 3：
Lagrange interpolation in Banach spaces / 3.1：
Weak interpolation of nonlinear operators / 3.3：
Some related results / 3.4：
Realistic Operators and their Approximation / 3.5：
Formalization of concepts related to description of real-world objects / 4.1：
Approximation of RÂícontinuous operators / 4.3：
Methods of Best Approximation for Nonlinear Operators / 4.4：
Best Approximation of nonlinear operators in Banach spaces: Deterministic case / 5.1：
Estimation of mean and covariance matrix for random vectors / 5.3：
Best Hadamard-quadratic approximation / 5.4：
Best polynomial approximation / 5.5：
Best causal approximation / 5.6：
Best hybrid approximations / 5.7：
Optimal Estimation of Random Vectors / 5.8：
Computational Methods for Optimal Filtering of Stochastic Signals / 6：
Optimal linear Filtering in Finite dimensional vector spaces / 6.1：
Optimal linear Filtering in Hilbert spaces / 6.3：
Optimal causal linear Filtering with piecewise constant memory / 6.4：
Optimal causal polynomial Filtering with arbitrarily variable memory / 6.5：
Optimal nonlinear Filtering with no memory constraint / 6.6：
Computational Methods for Optimal Compression and Reconstruction of Random Data / 6.7：
Standard Principal Component Analysis and Karhunen-Loeeve transform (PCA{KLT) / 7.1：
Rank-constrained matrix approximations / 7.3：
Generic PCA{KLT / 7.4：
Optimal hybrid transform based on Hadamard-quadratic approximation / 7.5：
Optimal transform formed by a combination of nonlinear operators / 7.6：
Optimal generalized hybrid transform / 7.7：
Bibliography / 7.8：
Index
Preface
Contents
Overview / 1：
4.

図書
図書
4. Stochastic models for social processes. 2nd ed
D.J. Bartholomew
出版情報: London ; New York : Wiley, 1973  xi, 411 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics
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5.

図書
図書
5. Ecole d'eté de probabilités de Saint-Flour VIII-1978 (: Berlin ; : New York)
R. Azencott, Y. Guivarc'h, R.F. Gundy ; edité par P.L. Hennequin
出版情報: Berlin ; New York : Springer-Verlag, 1980  xiii, 334 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 774
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目次情報: 続きを見る
Introduction
Contexts, reform and resources
Mathematical reasoning through tasks: learners' responses
Learning mathematical reasoning in a collaborative whole class discussion
Classroom practices for teaching and learning mathematical reasoning
Teaching mathematics with the five strands
Teaching the practices of justification and explanation
Learner contributions
Teacher moves
Dilemmas in teaching mathematical reasoning
Learner resistance to mathematical conversations
Introduction
Contexts, reform and resources
Mathematical reasoning through tasks: learners' responses
6.

図書
図書
6. Applications des inéquations variationnelles en contrôle stochastique
A. Bensoussan, J.-L. Lions
出版情報: Paris : Dunod, c1978  545 p. ; 25 cm
シリーズ名: Méthodes mathématiques de l'informatique ; 6
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7.

図書
図書
7. Impulse control and quasi-variational inequalities
By Alain Bensoussan and Jacques-louis Lioms
出版情報: Paris : Gauthier-Villars , Bristol : Hilger[m] , Paris : Bordas, c1984  xiv, 684 p ; 25 cm
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8.

図書
図書
8. Elements of applied stochastic processes
U. Narayan Bhat
出版情報: New York : J. Wiley, c1972  xvi, 414 p. ; 23 cm
シリーズ名: Wiley series in probability and mathematical statistics
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目次情報: 続きを見る
Preface
Stochastic Processes: Description and Definition / 1：
Introduction / 1.1：
Description and Definition / 1.2：
Probability Distributions / 1.3：
The Markov Process / 1.4：
The Renewal Process / 1.5：
The Stationary Process / 1.6：
A Plan for the Remaining Chapters / 1.7：
References
Exercises
Elementary Review Exercises
Advanced Review Exercises
Markov Chains / 2：
The n-Step Transition Probability Matrix / 2.1：
Classification of States / 2.3：
A Canonical Representation of the Transition Probability Matrix / 2.4：
Classification of States in Practice / 2.5：
Finite Markov Chains with Transient States / 2.6：
Irreducible Markov Chains with Ergodic States / 3：
Transient Behavior / 3.1：
Limiting Behavior / 3.2：
First Passage and Related Results / 3.3：
Branching Processes and other Special Topics / 4：
Branching Processes / 4.1：
Markov Chains of Order Higher than 1 / 4.2：
Lumpable Markov Chains / 4.3：
Reversed Markov Chains / 4.4：
Statistical Inference for Markov Chains / 5：
Estimation of the Elements in a Transition Probability Matrix / 5.1：
Hypothesis Testing Issues for Markov Chains / 5.2：
Inference From Partially Observable Markov Chains / 5.3：
Statistical Inference for Branching Processes / 5.4：
Additional Comments / 5.5：
Applied Markov Chains / 6：
Queueing Models / 6.1：
Inventory Systems / 6.2：
Storage Models / 6.3：
Industrial Mobility of Labor / 6.4：
Educational Advancement / 6.5：
Human Resource Management / 6.6：
Term Structure / 6.7：
Income Determination under Uncertainty / 6.8：
A Markov Decision Process / 6.9：
Simple Markov Processes / 7：
Examples / 7.1：
Markov Processes: General Properties / 7.2：
The Poisson Process / 7.3：
The Pure Birth Process / 7.4：
The Pure Death Process / 7.5：
Birth and Death Processes / 7.6：
Limiting Distributions / 7.7：
Markovian Networks / 7.8：
Additional Examples / 7.9：
Statistical Inference for Simple Markov Processes / 8：
Estimation of Parameters / 8.1：
Hypothesis Testing for Simple Markov Processes / 8.2：
Statistical Inference for Queues / 8.3：
Applied Markov Processes / 8.4：
The Machine Interference Problem / 9.1：
Queueing Networks / 9.3：
Flexible Manufacturing Systems / 9.4：
Reliability Models / 9.5：
Markovian Combat Models / 9.7：
Stochastic Models for Social Networks / 9.8：
Recovery, Relapse, and Death Due to Disease / 9.9：
Renewal Processes / 10：
Renewal Processes when Time is Discrete / 10.1：
Renewal Processes when Time is Continuous / 10.3：
Alternating Renewal Processes / 10.4：
Markov Renewal Processes (Semi-Markov Processes) / 10.5：
Renewal Reward Processes / 10.6：
Statistical Inference for Renewal Processes / 10.7：
Stationary Processes and Time Series Analysis / 10.8：
Definition / 11.1：
Some Examples / 11.2：
Ergodic Theorems / 11.3：
Covariance Stationary Processes in the Frequency Domain / 11.4：
Time Series Analysis: Introduction / 11.5：
Stochastic Models for Time Series / 11.6：
The Autoregressive Process / 11.7：
The Moving Average Process / 11.8：
A Mixed Autoregressive Moving Average Process / 11.9：
Autoregressive Integrated Moving Average Processes / 11.10：
Time Series Analysis in the Time Domain / 11.11：
Spectral Analysis of Time Series Data / 11.12：
Simulation and Markov Chain Monte Carlo / 12：
Simulation / 12.1：
Markov Chain Monte Carlo / 12.3：
Answers to Selected Exercises
Appendix
Author Index
Subject Index
Preface
Stochastic Processes: Description and Definition / 1：
Introduction / 1.1：
9.

図書
図書
9. Applications of variational inequalities in stochastic control
Alain Bensoussan, Jacques-Louis Lions ; English version edited, prepared, and produced by Trans-Inter-Scientia
出版情報: Amsterdam ; New York : North-Holland Pub. Co. , New York : Sole distributors for the U.S.A. and Canada, Elsevier North-Holland, 1982  xi, 564 p. ; 23 cm
シリーズ名: Studies in mathematics and its applications ; v. 12
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10.

図書
図書
10. Stochastic quantization (: pbk)
editors, P.H. Damgaard and H. Hüffel
出版情報: Singapore : World Scientific, c1988  xii, 496 p. ; 26 cm
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11.

図書
図書
11. Random perturbations of dynamical systems (: Boston ; : Basel)
Yuri Kifer
出版情報: Boston ; Basel : Birkhäuser, 1988  294 p. ; 24 cm
シリーズ名: Progress in probability and statistics ; v. 16
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12.

図書
図書
12. Dynamic programming and stochastic control
Dimitri P. Bertsekas
出版情報: New York : Academic Press, 1976  xv, 397 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 125
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13.

図書
図書
13. Stochastic processes in queueing theory (: U.S. ; : Germany)
A.A. Borovkov ; translated by Kenneth Wickwire
出版情報: New York : Springer-Verlag, 1976  xi, 280 p. ; 25 cm
シリーズ名: Applications of mathematics ; 4
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14.

図書
図書
14. Computer simulation methods in theoretical physics (: Germany ; : U.S.)
Dieter W. Heermann
出版情報: Berlin ; New York : Springer-Verlag, c1986  ix, 148 p. ; 24 cm
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15.

図書
図書
15. École d'été de probabilités : processus stochastiques (: Germany ; : U.S.)
J.L. Bretagnolle, S.D. Chatterji, P.-A. Meyer
出版情報: Berlin : Springer-Verlag, 1973  vi, 198 p. ; 26 cm
シリーズ名: Lecture notes in mathematics ; 307
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16.

図書
図書
16. Mathematical and physical aspects of stochastic mechanics (: gw ; : us)
Ph. Blanchard, Ph. Combe, W. Zheng
出版情報: Berlin ; Tokyo : Springer-Verlag, c1987  viii, 171 p. ; 25 cm
シリーズ名: Lecture notes in physics ; 281
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17.

図書
図書
17. Stochastic processes (: hbk ; : pbk)
J.L. Doob
出版情報: New York : Wiley, c1953  vii, 654 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics ; . Probability and mathematical statistics
Wiley publications in statistics
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目次情報: 続きを見る
Introduction and Probability Background
Definition of a Stochastic Process--Principal Classes
Processes with Mutually Independent Random Variables
Processes with Mutually Uncorrelated or Orthogonal Random Variables
Markov Processes--Discrete Parameter
Markov Processes--Continuous Parameter
Martingales
Processes with Independent Increments
Processes with Orthogonal Increments
Stationary Processes--Discrete Parameter
Stationary Processes--Continuous Parameter
Linear Least Squares Prediction--Stationary (Wide Sense) Processes
Supplement
Appendix
Bibliography
Index
Introduction and Probability Background
Definition of a Stochastic Process--Principal Classes
Processes with Mutually Independent Random Variables
18.

図書
図書
18. Introduction to random processes : with applications to signals and systems
William A. Gardner
出版情報: New York, N.Y. : Macmillan Pub. Co., c1986  xiii, 434 p. ; 24 cm
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19.

図書
図書
19. Modelling and application of stochastic processes
edited by Uday B. Desai
出版情報: Boston : Kluwer Academic Publishers, c1986  xi, 288 p. ; 24 cm
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20.

図書
図書
20. Statistical estimation for stochastic processes
by K. Nanthi and M.T. Wasan
出版情報: Kingston, Ont., Canada : Queen's University, 1987  vi leaves, 245, 5 p. ; 28 cm
シリーズ名: Queen's papers in pure and applied mathematics ; no. 78
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21.

図書
図書
21. An introduction to stochastic processes : with special reference to methods and applications
by M.S. Bartlett
出版情報: Cambridge : Cambridge Univ. Press, 1955  xiv, 312 p. ; 22 cm
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22.

図書
図書
22. An introduction to stochastic processes : with special reference to methods and applications. 2nd ed
by M. S. Bartlett
出版情報: Cambridge : Cambridge University Press, 1966  xvi, 362 p. ; 22 cm
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23.

図書
図書
23. Statistical inference for stochastic processes
Ishwar V. Basawa and B.L.S. Prakasa Rao
出版情報: London ; New York : Academic Press, c1980  xiv, 435 p. ; 24 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks
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24.

図書
図書
24. Filtering for stochastic processes with applications to guidance
[by] Richard S. Bucy [and] Peter D. Joseph
出版情報: New York : Interscience Publishers, c1968  xviii, 195 p. ; 24 cm
シリーズ名: Interscience tracts in pure and applied mathematics ; no. 23
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25.

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図書
25. Econometric analysis by control methods
Gregory C. Chow
出版情報: New York : Wiley, c1981  xv, 320 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics ; . Applied probability and statistics
A Wiley publication in applied statistics
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26.

図書
図書
26. Probability and random processes for engineers and scientists
by A. Bruce Clarke [and] Ralph L. Disney
出版情報: New York : Wiley, c1970  xv, 346 p. ; 24 cm
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27.

図書
図書
27. Statistical mechanics, kinetic theory, and stochastic processes
[by] C. V. Heer
出版情報: New York : Academic Press, c1972  xvi, 602 p. ; 24 cm
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28.

図書
図書
28. Stochastic quantum mechanics and quantum spacetime : a consistent unification of relativity and quantum theory based on stochastic spaces
by Eduard Prugovec̆ki
出版情報: Dordrecht [Holland] ; Boston : D. Reidel , Hingham, MA : Distributed in the U.S.A. and Canada by Kluwer Academic Publishers, 1984  xxi, 302 p. ; 25 cm
シリーズ名: Fundamental theories of physics ; v. 4
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29.

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図書
29. Information, randomness & incompleteness : papers on algorithmic information theory (: pbk.)
Gregory J. Chaitin
出版情報: Singapore ; Teaneck, NJ : World Scientific, c1987  x, 272 p. ; 23 cm
シリーズ名: Series in computer science ; v. 8
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30.

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図書
30. Analysis and synthesis of computer systems
E. Gelenbe and I. Mitrani
出版情報: London : Academic Press, 1980  xi, 239 p. ; 24 cm
シリーズ名: Computer science and applied mathematics
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31.

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図書
31. Statistical analysis of counting processes (: us ; : gw)
Martin Jacobsen
出版情報: New York : Springer-Verlag, c1982  vii, 226 p. ; 24 cm
シリーズ名: Lecture notes in statistics ; v. 12
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32.

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図書
32. Probabilistic methods in applied mathematics (v. 1 ; v. 2 ; v. 3)
edited by A.T. Bharucha-Reid
出版情報: New York : Academic Press, 1968-1973  3 v. ; 24 cm
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33.

図書
図書
33. Models of industrial structure
Lars Engwall
出版情報: Lexington, Mass. : Lexington Books, c1973  xiii, 179 p. ; 24 cm
シリーズ名: Studies in business, technology, and economics
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34.

図書
図書
34. Stochastic processes
Sheldon M. Ross
出版情報: New York : Wiley, c1983  iii, 309 p. ; 25 cm
シリーズ名: Wiley series in probability and mathematical statistics ; . Probability and mathematical statistics
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目次情報: 続きを見る
Preliminaries
The Poisson Process
Renewal Theory
Markov Chains
Continuous-Time Markov Chains
Martingales
Random Walks
Brownian Motion and Other Markov Processes
Stochastic Order Relations
Poisson Approximations
Answers and Solutions to Selected Problems
Index
Preliminaries
The Poisson Process
Renewal Theory
35.

図書
図書
35. Topics in stochastic processes
Robert B. Ash, Melvin F. Gardner
出版情報: New York : Academic Press, 1975  viii, 321 p. ; 24 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks ; vol. 27
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36.

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図書
36. Stochastic convergence. 2nd ed.
Eugene Lukacs
出版情報: New York : Academic Press, 1975  xi, 200 p. ; 24 cm
シリーズ名: Probability and mathematical statistics : a series of monographs and textbooks ; v. 30
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37.

図書
図書
37. Detection of changes in random processes
edited by Laimutis Telksnys
出版情報: New York, N.Y. : Optimization Software : Springer-Verlag, c1986  xi, 226 p. ; 25 cm
シリーズ名: Translations series in mathematics and engineering
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38.

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図書
38. Stochastic models in biology
Narendra S. Goel, Nira Richter-Dyn
出版情報: New York : Academic Press, 1974  x, 269 p. ; 24 cm
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39.

図書
図書
39. Random signals and systems (: pbk)
Richard E. Mortensen
出版情報: New York : Wiley, c1987  xv, 231 p. ; 24 cm
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40.

図書
図書
40. An introduction to stochastic processes
D. Kannan
出版情報: New York : North Holland , Limerick, Ire. : Distributors outside the U.S.A. and Canada, Thomond Books, c1979  xii, 296 p. ; 24 cm
シリーズ名: North Holland series in probability and applied mathematics
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41.

図書
図書
41. From stochastics to hydrodynamics
editors, J.L. Lebowitz, E.W. Montroll
出版情報: Amsterdam ; Tokyo : North-Holland Physics, 1984  xi, 296 p. ; 23 cm
シリーズ名: Studies in statistical mechanics / edited by J. De Boer and G.E. Uhlenbeck ; v. 11 . Nonequilibrium phenomena ; 2
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42.

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図書
42. Random media
George Papanicolaou, editor
出版情報: New York ; Tokyo : Springer-Verlag, c1987  xi, 321 p. ; 25 cm
シリーズ名: The IMA volumes in mathematics and its applications ; v. 7
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43.

図書
図書
43. Stochastic processes and the Wiener integral
J. Yeh
出版情報: New York : M. Dekker, 1973  viii, 551 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 13
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44.

図書
図書
44. Optimal control and stochastic estimation : theory and applications (v. 1 ; v. 2)
Michael J. Grimble and Michael A. Johnson
出版情報: Chichester [West Sussex] ; New York : Wiley, c1988  2 v. ; 24 cm
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目次情報: 続きを見る
A Time Domain Analysis of Filtering and Smoothing Problems / Volume II：
Frequency Domain Analysis of Filtering and Smoothing Problems
Time Domain Analysis of the Optimal Stochastic Linear Control Problem
Extensions and Assessment of Time Domain Linear Quadratic Gaussian Controllers
Frequency Domain Analysis of Linear Stochastic Optimal Control Problems: A Polynomial Matrix Approach
Optimal Self-tuning Control Systems
Stochastic Industrial Control Systems
A Time Domain Analysis of Filtering and Smoothing Problems / Volume II：
Frequency Domain Analysis of Filtering and Smoothing Problems
Time Domain Analysis of the Optimal Stochastic Linear Control Problem
45.

図書
図書
45. Sums of independent random variables (: gw ; : us)
V.V. Petrov ; translated from the Russian by A.A. Brown
出版情報: Berlin ; New York : Springer-Verlag, 1975  x, 345 p. ; 24 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; Bd. 82
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46.

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図書
46. Random perturbations of dynamical systems (: us ; : gw)
M.I. Freidlin, A.D. Wentzell ; translated by Joseph Szücs
出版情報: New York ; Berlin ; Tokyo : Springer, c1984  viii, 326 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 260
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47.

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図書
47. Random processes and learning
M. Iosifesou, R. Theodorescu
出版情報: Berlin ; Heidelberg ; New York : Springer, 1969  x, 304 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 150
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48.

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図書
48. Исследования по теории случайных процессов : стохастические дифференциальные уравнения и предельные теоремы для процессов Маркова
А.В. Скороход ; [ответственный редактор, И.И. Гихман]
出版情報: [Киев] : Изд-во Киевского университета, 1961  215 p. ; 22 cm
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49.

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図書
49. Random data : analysis and measurement procedures. 3rd ed
Julius S. Bendat, Allan G. Piersol
出版情報: New York : Wiley-Interscience, c2000  xvii, 594 p. ; 25 cm
シリーズ名: Wiley series in probability and mathematical statistics ; . Texts and references section
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目次情報: 続きを見る
Basic Descriptions and Properties
Linaear Physical Systems
Probability Fundamentals
Statistical Principles
Stationary Random Processes
Single-Input/Output Relationships
Multiple-Input/Output Relationships
Statisitical Errors In Basic Estimates
Statistical Errors in Advanced Estimates
Data Acquisition and Processing
Digital Data Analysis
Nonstationary Data Analysis
The Hilbert Transform
Hilbert Transforms for Correlation Functions
Appendixes
Index
Basic Descriptions and Properties
Linaear Physical Systems
Probability Fundamentals
50.

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図書
50. Coupling, stationarity, and regeneration
Hermann Thorisson
出版情報: New York : Springer-Verlag, c2000  xiv, 517 p. ; 24 cm
シリーズ名: Probability and its applications
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Random Variables
Markov Chains and Random Walks
Random Elements
Stochastic Processes
Shift-Coupling
Markov Processes
Transformation Coupling
Stationarity, the Palm Dualities
The Palm Dualities in Higher Dimensions
Regeneration
Random Variables
Markov Chains and Random Walks
Random Elements
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