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図書

図書
Edward Angel, Richard Bellman
出版情報: New York : Academic Press, 1972  xi, 204 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 88
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2.

図書

図書
R.E. Barlow ... [et al.]
出版情報: Chichester : New York : J. Wiley, c1972  xii, 388 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics ; no. 8
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3.

図書

図書
[by] Arthur Albert
出版情報: New York : Academic Press, 1972  xiii, 180 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 94
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4.

図書

図書
F.V. Atkinson
出版情報: New York : Academic Press, c1972  xi, 209 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 82-1 . Multiparameter eigenvalue problems / [by] F.V. Atkinson ; v. 1
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5.

図書

図書
Ararat Babakhanian
出版情報: New York : M. Dekker, 1972  vii, 241 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 11
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6.

図書

図書
[by] Sterling K. Berberian
出版情報: Berlin ; New York : Springer-Verlag, 1972  xiii, 296 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 195
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7.

図書

図書
Marcello Boldrini ; translated from the Italian by Ruth Kendall
出版情報: London : Griffin, 1972  xiv, 264 p., leaf ; 24 cm
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8.

図書

図書
Nicolas Bourbaki
出版情報: Paris : Hermann , Reading, Mass. : Addison-Wesley, c1972  xxiv, 625 p. ; 25 cm
シリーズ名: Elements of mathematics / Nicolas Bourbaki ; Actualites scientifiques et industrielles ; Adiwes international series in mathematics
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9.

図書

図書
by A.T. Bharucha-Reid
出版情報: New York : Academic Press, 1972  xiii, 267 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; vol. 96
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10.

図書

図書
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:
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