MARC details
| 000 -LEADER |
|---|
| fixed length control field |
08900cam a2200553 a 4500 |
| 001 - CONTROL NUMBER |
|---|
| control field |
BDZ0009873610 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
StDuBDS |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20190531161549.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
101102s2011 flua b 001 0 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
|---|
| LC control number |
2010043676 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781439818824: |
| Terms of availability |
£39.99 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
1439818827 |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC)ocn615883171 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
StDuBDS |
| Language of cataloging |
eng |
| Transcribing agency |
StDuBDS |
| Modifying agency |
Uk |
| -- |
StDuBDSZ |
| 050 #0 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Item number |
.A63 2011 |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
PS |
| Source |
thema |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
PBWL |
| Source |
thema |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
PBW |
| Source |
thema |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
PBT |
| Source |
thema |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
519.23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Allen, Linda J. S. |
| 245 13 - TITLE STATEMENT |
|---|
| Title |
An introduction to stochastic processes with applications to biology / |
| Statement of responsibility, etc. |
Linda J. S. Allen. |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Place of publication, distribution, etc. |
Boca Raton, Fla. : |
| Name of publisher, distributor, etc. |
CRC, |
| Date of publication, distribution, etc. |
c2011. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xxiv, 466 p. : |
| Other physical details |
ill. ; |
| Dimensions |
25 cm. |
| 500 ## - GENERAL NOTE |
|---|
| General note |
Formerly CIP. |
| Institution to which field applies |
Uk |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc. note |
Includes bibliographical references and index. |
| 505 00 - FORMATTED CONTENTS NOTE |
|---|
| Miscellaneous information |
Machine generated contents note: |
| -- |
1. |
| Title |
Review of Probability Theory and an Introduction to Stochastic Processes -- |
| Miscellaneous information |
1.1. |
| Title |
Introduction -- |
| Miscellaneous information |
1.2. |
| Title |
Brief Review of Probability Theory -- |
| Miscellaneous information |
1.2.1. |
| Title |
Basic Probability Concepts -- |
| Miscellaneous information |
1.2.2. |
| Title |
Probability Distributions -- |
| Miscellaneous information |
1.2.3. |
| Title |
Expectation -- |
| Miscellaneous information |
1.2.4. |
| Title |
Multivariate Distributions -- |
| Miscellaneous information |
1.3. |
| Title |
Generating Functions -- |
| Miscellaneous information |
1.4. |
| Title |
Central Limit Theorem -- |
| Miscellaneous information |
1.5. |
| Title |
Introduction to Stochastic Processes -- |
| Miscellaneous information |
1.6. |
| Title |
An Introductory Example: A Simple Birth Process -- |
| Miscellaneous information |
1.7. |
| Title |
Exercises for Chapter 1 -- |
| Miscellaneous information |
1.8. |
| Title |
References for Chapter 1 -- |
| Miscellaneous information |
1.9. |
| Title |
Appendix for Chapter 1 -- |
| Miscellaneous information |
1.9.1. |
| Title |
Probability Distributions -- |
| Miscellaneous information |
1.9.2. |
| Title |
MATLAB® and FORTRAN Programs -- |
| Miscellaneous information |
1.9.3. |
| Title |
Interevent Time -- |
| Miscellaneous information |
2. |
| Title |
Discrete-Time Markov Chains -- |
| Miscellaneous information |
2.1. |
| Title |
Introduction -- |
| Miscellaneous information |
2.2. |
| Title |
Definitions and Notation -- |
| Miscellaneous information |
2.3. |
| Title |
Classification of States -- |
| Miscellaneous information |
2.4. |
| Title |
First Passage Time -- |
| Miscellaneous information |
2.5. |
| Title |
Basic Theorems for Markov Chains -- |
| Miscellaneous information |
2.6. |
| Title |
Stationary Probability Distribution |
| 505 00 - FORMATTED CONTENTS NOTE |
|---|
| Miscellaneous information |
2.7. |
| Title |
Finite Markov Chains -- |
| Miscellaneous information |
2.7.1. |
| Title |
Mean First Passage Time -- |
| Miscellaneous information |
2.8. |
| Title |
An Example: Genetics Inbreeding Problem -- |
| Miscellaneous information |
2.9. |
| Title |
Monte Carlo Simulation -- |
| Miscellaneous information |
2.10. |
| Title |
Unrestricted Random Walk in Higher Dimensions -- |
| Miscellaneous information |
2.10.1. |
| Title |
Two Dimensions -- |
| Miscellaneous information |
2.10.2. |
| Title |
Three Dimensions -- |
| Miscellaneous information |
2.11. |
| Title |
Exercises for Chapter 2 -- |
| Miscellaneous information |
2.12. |
| Title |
References for Chapter 2 -- |
| Miscellaneous information |
2.13. |
| Title |
Appendix for Chapter 2 -- |
| Miscellaneous information |
2.13.1. |
| Title |
Proofs of Theorems 2.5 and 2.6 -- |
| Miscellaneous information |
2.13.2. |
| Title |
Perron and Frobenius Theorems -- |
| Miscellaneous information |
2.13.3. |
| Title |
The n-Step Transition Matrix -- |
| Miscellaneous information |
2.13.4. |
| Title |
Genetics Inbreeding Problem -- |
| Miscellaneous information |
3. |
| Title |
Biological Applications of Discrete-Time Markov Chains -- |
| Miscellaneous information |
3.1. |
| Title |
Introduction -- |
| Miscellaneous information |
3.2. |
| Title |
Proliferating Epithelial Cells -- |
| Miscellaneous information |
3.3. |
| Title |
Restricted Random Walk Models -- |
| Miscellaneous information |
3.4. |
| Title |
Random Walk with Absorbing Boundaries -- |
| Miscellaneous information |
3.4.1. |
| Title |
Probability of Absorption -- |
| Miscellaneous information |
3.4.2. |
| Title |
Expected Time until Absorption -- |
| Miscellaneous information |
3.4.3. |
| Title |
Probability Distribution for Absorption -- |
| Miscellaneous information |
3.5. |
| Title |
Random Walk on a Semi-Infinite Domain -- |
| Miscellaneous information |
3.6. |
| Title |
General Birth and Death Process -- |
| Miscellaneous information |
3.6.1. |
| Title |
Expected Time to Extinction |
| 505 00 - FORMATTED CONTENTS NOTE |
|---|
| Miscellaneous information |
3.7. |
| Title |
Logistic Growth Process -- |
| Miscellaneous information |
3.8. |
| Title |
Quasistationary Probability Distribution -- |
| Miscellaneous information |
3.9. |
| Title |
SIS Epidemic Model -- |
| Miscellaneous information |
3.9.1. |
| Title |
Deterministic Model -- |
| Miscellaneous information |
3.9.2. |
| Title |
Stochastic Model -- |
| Miscellaneous information |
3.10. |
| Title |
Chain Binomial Epidemic Models -- |
| Miscellaneous information |
3.10.1. |
| Title |
Greenwood Model -- |
| Miscellaneous information |
3.10.2. |
| Title |
Reed-Frost Model -- |
| Miscellaneous information |
3.10.3. |
| Title |
Duration and Size -- |
| Miscellaneous information |
3.11. |
| Title |
Exercises for Chapter 3 -- |
| Miscellaneous information |
3.12. |
| Title |
References for Chapter 3 -- |
| Miscellaneous information |
3.13. |
| Title |
Appendix for Chapter 3 -- |
| Miscellaneous information |
3.13.1. |
| Title |
MATLAB® Programs -- |
| Miscellaneous information |
3.13.2. |
| Title |
Maple™ Program -- |
| Miscellaneous information |
4. |
| Title |
Discrete-Time Branching Processes -- |
| Miscellaneous information |
4.1. |
| Title |
Introduction -- |
| Miscellaneous information |
4.2. |
| Title |
Definitions and Notation -- |
| Miscellaneous information |
4.3. |
| Title |
Probability Generating Function of Xn -- |
| Miscellaneous information |
4.4. |
| Title |
Probability of Population Extinction -- |
| Miscellaneous information |
4.5. |
| Title |
Mean and Variance of Xn -- |
| Miscellaneous information |
4.6. |
| Title |
Environmental Variation -- |
| Miscellaneous information |
4.7. |
| Title |
Multitype Branching Processes -- |
| Miscellaneous information |
4.7.1. |
| Title |
An Example: Age-Structured Model -- |
| Miscellaneous information |
4.7.2. |
| Title |
Environmental Variation -- |
| Miscellaneous information |
4.8. |
| Title |
Exercises for Chapter 4 -- |
| Miscellaneous information |
4.9. |
| Title |
References for Chapter 4 -- |
| Miscellaneous information |
5. |
| Title |
Continuous-Time Markov Chains -- |
| Miscellaneous information |
5.1. |
| Title |
Introduction |
| 505 00 - FORMATTED CONTENTS NOTE |
|---|
| Miscellaneous information |
5.2. |
| Title |
Definitions and Notation -- |
| Miscellaneous information |
5.3. |
| Title |
The Poisson Process -- |
| Miscellaneous information |
5.4. |
| Title |
Generator Matrix Q -- |
| Miscellaneous information |
5.5. |
| Title |
Embedded Markov Chain and Classification of States -- |
| Miscellaneous information |
5.6. |
| Title |
Kolmogorov Differential Equations -- |
| Miscellaneous information |
5.7. |
| Title |
Stationary Probability Distribution -- |
| Miscellaneous information |
5.8. |
| Title |
Finite Markov Chains -- |
| Miscellaneous information |
5.9. |
| Title |
Generating Function Technique -- |
| Miscellaneous information |
5.10. |
| Title |
Interevent Time and Stochastic Realizations -- |
| Miscellaneous information |
5.11. |
| Title |
Review of Method of Characteristics -- |
| Miscellaneous information |
5.12. |
| Title |
Exercises for Chapter 5 -- |
| Miscellaneous information |
5.13. |
| Title |
References for Chapter 5 -- |
| Miscellaneous information |
5.14. |
| Title |
Appendix for Chapter 5 -- |
| Miscellaneous information |
5.14.1. |
| Title |
Calculation of the Matrix Exponential -- |
| Miscellaneous information |
5.14.2. |
| Title |
MATLAB® Programs -- |
| Miscellaneous information |
6. |
| Title |
Continuous-Time Birth and Death Chains -- |
| Miscellaneous information |
6.1. |
| Title |
Introduction -- |
| Miscellaneous information |
6.2. |
| Title |
General Birth and Death Process -- |
| Miscellaneous information |
6.3. |
| Title |
Stationary Probability Distribution -- |
| Miscellaneous information |
6.4. |
| Title |
Simple Birth and Death Processes -- |
| Miscellaneous information |
6.4.1. |
| Title |
Simple Birth -- |
| Miscellaneous information |
6.4.2. |
| Title |
Simple Death -- |
| Miscellaneous information |
6.4.3. |
| Title |
Simple Birth and Death -- |
| Miscellaneous information |
6.4.4. |
| Title |
Simple Birth and Death with Immigration -- |
| Miscellaneous information |
6.5. |
| Title |
Queueing Process -- |
| Miscellaneous information |
6.6. |
| Title |
Population Extinction |
| 505 00 - FORMATTED CONTENTS NOTE |
|---|
| Miscellaneous information |
6.7. |
| Title |
First Passage Time -- |
| Miscellaneous information |
6.7.1. |
| Title |
Definition and Computation -- |
| Miscellaneous information |
6.7.2. |
| Title |
Summary of First Passage Time -- |
| Miscellaneous information |
6.8. |
| Title |
Logistic Growth Process -- |
| Miscellaneous information |
6.9. |
| Title |
Quasistationary Probability Distribution -- |
| Miscellaneous information |
6.10. |
| Title |
An Explosive Birth Process -- |
| Miscellaneous information |
6.11. |
| Title |
Nonhomogeneous Birth and Death Process -- |
| Miscellaneous information |
6.12. |
| Title |
Exercises for Chapter 6 -- |
| Miscellaneous information |
6.13. |
| Title |
References for Chapter 6 -- |
| Miscellaneous information |
6.14. |
| Title |
Appendix for Chapter 6 -- |
| Miscellaneous information |
6.14.1. |
| Title |
Generating Functions for the Simple Birth and Death Process -- |
| Miscellaneous information |
6.14.2. |
| Title |
Proofs of Theorems 6.2 and 6.3 -- |
| Miscellaneous information |
6.14.3. |
| Title |
Comparison Theorem -- |
| Miscellaneous information |
7. |
| Title |
Biological Applications of Continuous-Time Markov Chains -- |
| Miscellaneous information |
7.1. |
| Title |
Introduction -- |
| Miscellaneous information |
7.2. |
| Title |
Continuous-Time Branching Processes -- |
| Miscellaneous information |
7.3. |
| Title |
SI and SIS Epidemic Processes -- |
| Miscellaneous information |
7.3.1. |
| Title |
Stochastic SI Model -- |
| Miscellaneous information |
7.3.2. |
| Title |
Stochastic SIS Model -- |
| Miscellaneous information |
7.4. |
| Title |
Multivariate Processes -- |
| Miscellaneous information |
7.5. |
| Title |
Enzyme Kinetics -- |
| Miscellaneous information |
7.5.1. |
| Title |
Deterministic Model -- |
| Miscellaneous information |
7.5.2. |
| Title |
Stochastic Model -- |
| Miscellaneous information |
7.6. |
| Title |
SIR Epidemic Process -- |
| Miscellaneous information |
7.6.1. |
| Title |
Deterministic Model -- |
| Miscellaneous information |
7.6.2. |
| Title |
Stochastic Model -- |
| Miscellaneous information |
7.6.3. |
| Title |
Final Size |
| 505 00 - FORMATTED CONTENTS NOTE |
|---|
| Miscellaneous information |
7.6.4. |
| Title |
Duration -- |
| Miscellaneous information |
7.7. |
| Title |
Competition Process -- |
| Miscellaneous information |
7.7.1. |
| Title |
Deterministic Model -- |
| Miscellaneous information |
7.7.2. |
| Title |
Stochastic Model -- |
| Miscellaneous information |
7.8. |
| Title |
Predator-Prey Process -- |
| Miscellaneous information |
7.8.1. |
| Title |
Deterministic Model -- |
| Miscellaneous information |
7.8.2. |
| Title |
Stochastic Model -- |
| Miscellaneous information |
7.9. |
| Title |
Exercises for Chapter 7 -- |
| Miscellaneous information |
7.10. |
| Title |
References for Chapter 7 -- |
| Miscellaneous information |
7.11. |
| Title |
Appendix for Chapter 7 -- |
| Miscellaneous information |
7.11.1. |
| Title |
MATLAB® Programs -- |
| Miscellaneous information |
8. |
| Title |
Diffusion Processes and Stochastic Differential Equations -- |
| Miscellaneous information |
8.1. |
| Title |
Introduction -- |
| Miscellaneous information |
8.2. |
| Title |
Definitions and Notation -- |
| Miscellaneous information |
8.3. |
| Title |
Random Walk and Brownian Motion -- |
| Miscellaneous information |
8.4. |
| Title |
Diffusion Process -- |
| Miscellaneous information |
8.5. |
| Title |
Kolmogorov Differential Equations -- |
| Miscellaneous information |
8.6. |
| Title |
Wiener Process -- |
| Miscellaneous information |
8.7. |
| Title |
Ito Stochastic Integral -- |
| Miscellaneous information |
8.8. |
| Title |
Ito Stochastic Differential Equation -- |
| Miscellaneous information |
8.9. |
| Title |
First Passage Time -- |
| Miscellaneous information |
8.10. |
| Title |
Numerical Methods for SDEs -- |
| Miscellaneous information |
8.11. |
| Title |
An Example: Drug Kinetics -- |
| Miscellaneous information |
8.12. |
| Title |
Exercises for Chapter 8 -- |
| Miscellaneous information |
8.13. |
| Title |
References for Chapter 8 -- |
| Miscellaneous information |
8.14. |
| Title |
Appendix for Chapter 8 -- |
| Miscellaneous information |
8.14.1. |
| Title |
Derivation of Kolmogorov Equations -- |
| Miscellaneous information |
8.14.2. |
| Title |
MATLAB® Program -- |
| Miscellaneous information |
9. |
| Title |
Biological Applications of Stochastic Differential Equations |
| 505 00 - FORMATTED CONTENTS NOTE |
|---|
| Miscellaneous information |
9.1. |
| Title |
Introduction -- |
| Miscellaneous information |
9.2. |
| Title |
Multivariate Processes -- |
| Miscellaneous information |
9.3. |
| Title |
Derivation of Ito SDEs -- |
| Miscellaneous information |
9.4. |
| Title |
Scalar Ito SDEs for Populations -- |
| Miscellaneous information |
9.4.1. |
| Title |
Simple Birth and Death with Immigration -- |
| Miscellaneous information |
9.4.2. |
| Title |
Logistic Growth -- |
| Miscellaneous information |
9.4.3. |
| Title |
Quasistationary Density Function -- |
| Miscellaneous information |
9.5. |
| Title |
Enzyme Kinetics -- |
| Miscellaneous information |
9.6. |
| Title |
SIR Epidemic Process -- |
| Miscellaneous information |
9.7. |
| Title |
Competition Process -- |
| Miscellaneous information |
9.8. |
| Title |
Predator-Prey Process -- |
| Miscellaneous information |
9.9. |
| Title |
Population Genetics Process -- |
| Miscellaneous information |
9.10. |
| Title |
Exercises for Chapter 9 -- |
| Miscellaneous information |
9.11. |
| Title |
References for Chapter 9 -- |
| Miscellaneous information |
9.12. |
| Title |
Appendix for Chapter 9 -- |
| Miscellaneous information |
9.12.1. |
| Title |
MATLAB® Programs -- |
| Miscellaneous information |
Appendix A |
| Title |
Hints and Solutions to Selected Exercises -- |
| Miscellaneous information |
A.1. |
| Title |
Chapter 1 -- |
| Miscellaneous information |
A.2. |
| Title |
Chapter 2 -- |
| Miscellaneous information |
A.3. |
| Title |
Chapter 3 -- |
| Miscellaneous information |
A.4. |
| Title |
Chapter 4 -- |
| Miscellaneous information |
A.5. |
| Title |
Chapter 5 -- |
| Miscellaneous information |
A.6. |
| Title |
Chapter 6 -- |
| Miscellaneous information |
A.7. |
| Title |
Chapter 7 -- |
| Miscellaneous information |
A.8. |
| Title |
Chapter 8 -- |
| Miscellaneous information |
A.9. |
| Title |
Chapter 9. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
"The second edition of a bestseller, this textbook delineates stochastic processes, emphasizing applications in biology. It includes MATLAB throughout the book to help with the solutions of various problems. The book is organized according to the three types of stochastic processes: discrete time Markov chains, continuous time Markov chains and continuous time and state Markov processes. It contains a new chapter on the biological applications of stochastic differential equations and new sections on alternative methods for derivation of a stochastic differential equation, data and parameter estimation, Monte Carlo simulation, and more" |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Stochastic processes. |
| 9 (RLIN) |
7810 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Biomathematics. |
| 9 (RLIN) |
1723 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Biology, life sciences |
| Source of heading or term |
thema |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Stochastics |
| Source of heading or term |
thema |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Applied mathematics |
| Source of heading or term |
thema |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Probability & statistics |
| Source of heading or term |
thema |
| 902 ## - LOCAL DATA ELEMENT B, LDB (RLIN) |
|---|
| a |
160808 |
| 907 ## - LOCAL DATA ELEMENT G, LDG (RLIN) |
|---|
| a |
.b10410946 |
| b |
cgen |
| c |
- |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Suppress in OPAC |
0 |
| 998 ## - LOCAL CONTROL INFORMATION (RLIN) |
|---|
| Operator's initials, OID (RLIN) |
0 |
| Cataloger's initials, CIN (RLIN) |
120525 |
| First Date, FD (RLIN) |
m |
| Local |
a |
| -- |
- |
| -- |
3 |