An introduction to stochastic modeling / (Record no. 2642)

MARC details
000 -LEADER
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
Holdings
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
    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