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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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