An introduction to stochastic modeling / (Record no. 2642)
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fixed length control field | 03719nam a22002417a 4500 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | OSt |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20230719124840.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 210407b ||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9780123814166 |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | BUL |
Language of cataloging | eng |
Transcribing agency | BUL |
Modifying agency | BUL |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Edition number | 22 |
Classification number | 003.76 |
Item number | PIN |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Pinsky, Mark A. |
245 ## - TITLE STATEMENT | |
Title | An introduction to stochastic modeling / |
Statement of responsibility, etc. | Mark A. Pinsky , Samuel Karlin. |
250 ## - EDITION STATEMENT | |
Edition statement | 4th edition |
260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
Place of publication, distribution, etc. | Amsterdam: |
Name of publisher, distributor, etc. | Elsevier, |
Date of publication, distribution, etc. | c2011. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | xiv,563p. : |
Other physical details | ill.; |
Dimensions | 24cm. |
500 ## - GENERAL NOTE | |
General note | CONTENTS<br/><br/>1. Introduction<br/> <br/>1.1 Stochastic Processes<br/>1.2 Probability review<br/>1.3 The Major Discrete Distributions<br/>1.4 Important Continuous Distribution <br/>1.5 Some Elementary exercises<br/><br/>2. Conditional Probability and Conditional Expectation<br/> <br/> 2.1 The Discrete Case<br/> 2.2 The Dice Game Craps<br/> 2.3 Random Sums<br/> 2.4 Conditioning on a Continuous Random Variable<br/> 2.5 Martingales<br/><br/>3. Markov Chains: Introduction<br/><br/> 3.1 Definitions<br/> 3.2 Transition probability Matrices of a Markov Chain<br/> 3.3 Some Markov Chain Models<br/> 3.4 First step Analysis<br/> 3.5 Some special Markov Chain<br/><br/>4. The long Run Behavior of Markov Chains<br/><br/> 4.1 Regular Transition Probability Matrices<br/> 4.2 Examples<br/> 4.3 The Classification of states<br/> 4.4 The Basic Limit Theorem of Markov Chains<br/> 4.5 Reducible Markov Chains<br/><br/>5. Poisson Processes<br/> <br/> 5.1 The Poison Distribution and the poison Process<br/> 5.2 The Law or Rare Events<br/> 5.3 Distributions associated with the Poisson process<br/> 5.4 The Uniform Distribution and Poisson processes<br/> 5.5 Spatial Poisson Processes<br/><br/>6. Continuous Time Markov Chains<br/><br/> 6.1 Pure Birth Processes<br/> 6.2 Pure Death Processes<br/> 6.3 Birth and Death Processes<br/> 6.4 The Limiting behavior of Birth and Death Processes<br/> 6.5 Birth and Death Processes with Absorption into State 0<br/><br/>7. Renewal Phenomena <br/><br/> 7.1 Definition of a renewal processes and related Concepts<br/> 7.2 Some Examples of renewable Processes <br/> 7.3 The Poison Process Viewed as a Renewal process<br/> 7.4 The Asymptotic behavior of renewable Processes<br/> 7.5 Generalizations and Variations of Renewable processes<br/><br/>8. Brownian Motion and Related Processes<br/> <br/> 8.1 Brownian Motion and Gaussian Processes<br/> 8.2 The maximum Variable and the Reflection Principle<br/> 8.3 Variations and Extensions<br/> 8.4 Brownian Motion with Drift<br/> 8.5 The Ornstein-Uhlenbeck Process <br/> <br/>9. Queueing Systems<br/><br/> 9.1 Queueing Processes<br/> 9.2 Poisson Arrivals, Exponential Service time<br/> 9.3 General Services Time Distributions<br/> 9.4 Variations and Extensions<br/> 9.5 Open Acyclic Queueing Networks<br/><br/>10. Random Evolutions <br/><br/> 10.1 Two-State Velocity Model<br/> 10.2 N-State Random Evolution<br/> 10.3 Weak Law and Central Limit Theorem<br/> 10.4 Isotropic Transport in higher Dimensions<br/><br/>11. Characteristic Functions and their Applications<br/><br/> 11.1 Definition of characteristic Function<br/> 11.2 Inversion Formulas for characteristic Functions<br/> 11.3 Inversion Formula for general Random Variables<br/> 11.4 The Continuity Theorem<br/> 11.5 Proof of the Central Limit Theorem<br/> <br/> <br/><br/> <br/><br/><br/><br/><br/><br/> |
501 ## - WITH NOTE | |
With note | Includes Index : p.557-563 |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Computer |
700 ## - ADDED ENTRY--PERSONAL NAME | |
Personal name | Karlin, Samuel |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Source of classification or shelving scheme | Dewey Decimal Classification |
Koha item type | Book Open Access |
Edition | 4th edition |
Classification part | 003.76 |
Item part | 1 |
Call number prefix | PIN |
Call number suffix | 003.76 PIN |
Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Inventory number | Total Checkouts | Full call number | Barcode | Date last seen | Copy number | Price effective from | Koha item type |
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Dewey Decimal Classification | Science and Education Library | Science and Education Library | 04/07/2021 | Donation | 0013927 | 003.76 PIN 1 | NAGL22090086 | 04/07/2021 | 1 | 04/07/2021 | Book Open Access |