Discrete Stochastic Processes (The Springer International Series in Engineering and Computer Science, 321, Band 321) - hardcover

EAN (ISBN-13): 9780792395836
ISBN (ISBN-10): 0792395832
Hardcover
Publishing year: 1995
Publisher: Springer
290 Pages
Weight: 0,602 kg
Language: eng/Englisch

Book in our database since 2008-04-02T04:19:35-04:00 (New York)
Detail page last modified on 2023-07-05T20:51:40-04:00 (New York)
ISBN/EAN: 0792395832

ISBN - alternate spelling:
0-7923-9583-2, 978-0-7923-9583-6
Alternate spelling and related search-keywords:
Book author: gallager
Book title: stochastic processes, international engineering

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Information from Publisher

Author: Robert G. Gallager
Title: The Springer International Series in Engineering and Computer Science; Discrete Stochastic Processes
Publisher: Springer; Springer US
271 Pages
Publishing year: 1995-10-31
New York; NY; US
Language: English
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
Available
XIII, 271 p.

BB; Hardcover, Softcover / Technik/Elektronik, Elektrotechnik, Nachrichtentechnik; Elektrotechnik; Verstehen; Markov Chain; Markov Chains; Stochastic Processes; linear optimization; operations research; Electrical and Electronic Engineering; Operations Research and Decision Theory; Unternehmensforschung; Management: Entscheidungstheorie; BC

1 Introduction and Probability Review.- 1.1 Introduction.- 1.2 Probability Review.- 1.3 Conditional Probabilities.- 1.4 Random Variables.- 1.5 Expectations.- 1.6 Transforms.- 1.7 Weak Law of Large Numbers.- 1.8 Strong Law of Large Numbers.- 1.9 Summary.- Table of Standard Random Variables.- Exercises.- Notes.- 2 Poisson Processes.- 2.1 Introduction.- 2.2 Definition and Properties of the Poisson Process.- 2.3 Combinations and Subdivisions of Independent Poisson Processes.- 2.4 Non-Homogeneous Poisson Processes.- 2.5 Order Statistics and Conditional Arrival Epochs.- 2.6 Summary.- Exercises.- Notes.- 3 Renewal Processes.- 3.1 Introduction.- 3.2 Strong Law of Large Numbers for Renewal Processes.- 3.3 Expected Number of Renewals.- 3.4 Renewal Reward Processes; Time Averages.- 3.5 Renewal Reward Processes; Ensemble Averages.- 3.6 Applications of Renewal Reward Theory.- 3.7 Delayed Renewal Processes.- 3.8 Summary.- Exercises.- Notes.- 4 Finite State Markov Chains.- 4.1 Introduction.- 4.2 Classification of States.- 4.3 The Matrix Representation.- 4.4 Perron—Frobenius Theory.- 4.5 Markov Chains with Rewards.- 4.6 Markov Decision Theory and Dynamic Programming.- 4.7 Summary.- Exercises.- Notes.- 5 Markov Chains with Countably Infinite State Spaces.- 5.1 Introduction and Classification of States.- 5.2 Branching Processes.- 5.3 Birth Death Markov Chains.- 5.4 Reversible Markov Chains.- 5.5 The M/M/1 Sampled Time Markov Chain.- 5.6 Round-Robin and Processor Sharing.- 5.7 Semi-Markov Processes.- 5.8 Example—M/G/1 Queue.- 5.9 Summary.- Exercises.- 6 Markov Processes with Countable State Spaces.- 6.1 Introduction.- 6.2 The Kolmogorov Differential Equations.- 6.3 Uniformization.- 6.4 Birth Death Processes.- 6.5 Reversibility for Markov Processes.- 6.6 Jackson Networks.- ClosedJackson Networks.- 6.7 Summary.- Exercises.- 7 Random Walks and Martingales.- 7.1 Introduction.- 7.2 The G/G/1 Queue.- 7.3 Detection, Decisions, and Hypothesis Testing.- 7.4 Threshold Crossing Probabilities.- 7.5 Wald’s Identity and Walks with Two Thresholds.- 7.6 Martingales and Submartingales.- 7.7 Stopped Processes and Stopping Rules.- 7.8 The Kolmogorov Inequalities.- 7.9 Summary.- Exercises.- Notes.