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20140310151445.0 |
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100825s2010 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781441971654 |
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978-1-4419-7165-4 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA276-280 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
519.5 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
New York, NY : |
| -- |
Springer New York, |
| -- |
2010. |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Lange, Kenneth. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Applied Probability |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc |
by Kenneth Lange. |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
Second. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XVI, 436 p. |
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Springer Texts in Statistics, |
| International Standard Serial Number |
1431-875X ; |
| Volume number/sequential designation |
0 |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Basic Notions of Probability Theory -- Calculation of Expectations -- Convexity, Optimization, and Inequalities -- Combinatorics -- Combinatorial Optimization -- Poisson Processes -- Discrete-Time Markov Chains -- Continuous-Time Markov Chains -- Branching Processes -- Martingales -- Diffusion Processes -- Asymptotic Methods -- Numerical Methods -- Poisson Approximation -- Number Theory -- Appendix: Mathematical Review. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
Applied Probability presents a unique blend of theory and applications, with special emphasis on mathematical modeling, computational techniques, and examples from the biological sciences. It can serve as a textbook for graduate students in applied mathematics, biostatistics, computational biology, computer science, physics, and statistics. Readers should have a working knowledge of multivariate calculus, linear algebra, ordinary differential equations, and elementary probability theory. Chapter 1 reviews elementary probability and provides a brief survey of relevant results from measure theory. Chapter 2 is an extended essay on calculating expectations. Chapter 3 deals with probabilistic applications of convexity, inequalities, and optimization theory. Chapters 4 and 5 touch on combinatorics and combinatorial optimization. Chapters 6 through 11 present core material on stochastic processes. If supplemented with appropriate sections from Chapters 1 and 2, there is sufficient material for a traditional semester-long course in stochastic processes covering the basics of Poisson processes, Markov chains, branching processes, martingales, and diffusion processes. The second edition adds two new chapters on asymptotic and numerical methods and an appendix that separates some of the more delicate mathematical theory from the steady flow of examples in the main text. Besides the two new chapters, the second edition includes a more extensive list of exercises, many additions to the exposition of combinatorics, new material on rates of convergence to equilibrium in reversible Markov chains, a discussion of basic reproduction numbers in population modeling, and better coverage of Brownian motion. Because many chapters are nearly self-contained, mathematical scientists from a variety of backgrounds will find Applied Probability useful as a reference. Kenneth Lange is the Rosenfeld Professor of Computational Genetics in the Departments of Biomathematics and Human Genetics at the UCLA School of Medicine and the Chair of the Department of Human Genetics. His research interests include human genetics, population modeling, biomedical imaging, computational statistics, high-dimensional optimization, and applied stochastic processes. Springer previously published his books Mathematical and Statistical Methods for Genetic Analysis, 2nd ed., Numerical Analysis for Statisticians, 2nd ed., and Optimization. He has written over 200 research papers and produced with his UCLA colleague Eric Sobel the computer program Mendel, widely used in statistical genetics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Statistics. |
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| Topical term or geographic name as entry element |
Computer science. |
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| Topical term or geographic name as entry element |
Computer simulation. |
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| Topical term or geographic name as entry element |
Biology |
| General subdivision |
Mathematics. |
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| Topical term or geographic name as entry element |
Computer science |
| General subdivision |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Distribution (Probability theory). |
|
|---|
| Topical term or geographic name as entry element |
Mathematical statistics. |
|
|---|
| Topical term or geographic name as entry element |
Statistics. |
|
|---|
| Topical term or geographic name as entry element |
Statistical Theory and Methods. |
|
|---|
| Topical term or geographic name as entry element |
Probability Theory and Stochastic Processes. |
|
|---|
| Topical term or geographic name as entry element |
Probability and Statistics in Computer Science. |
|
|---|
| Topical term or geographic name as entry element |
Mathematical Biology in General. |
|
|---|
| Topical term or geographic name as entry element |
Computational Mathematics and Numerical Analysis. |
|
|---|
| Topical term or geographic name as entry element |
Simulation and Modeling. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9781441971647 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4419-7165-4 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
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| Item type |
E-Book |
