The Resource Applied Probability, by Kenneth Lange, (electronic resource)

Applied Probability, by Kenneth Lange, (electronic resource)

Label
Applied Probability
Title
Applied Probability
Statement of responsibility
by Kenneth Lange
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
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
Member of
Is Subseries of
http://library.link/vocab/creatorName
Lange, Kenneth
Dewey number
519.2
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
HXcw2DRXCj0
Language note
English
LC call number
QA276-280
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Springer Texts in Statistics,
http://library.link/vocab/subjectName
  • Mathematical statistics
  • Distribution (Probability theory
  • Computer science
  • Computer science
  • Computer simulation
  • Statistical Theory and Methods
  • Probability Theory and Stochastic Processes
  • Probability and Statistics in Computer Science
  • Mathematical and Computational Biology
  • Computational Mathematics and Numerical Analysis
  • Simulation and Modeling
Label
Applied Probability, by Kenneth Lange, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
Second.
Extent
1 online resource (439 p.)
Form of item
online
Isbn
9781441971654
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4419-7165-4
Specific material designation
remote
System control number
  • (CKB)2670000000036581
  • (EBL)3065640
  • (SSID)ssj0000449033
  • (PQKBManifestationID)11298897
  • (PQKBTitleCode)TC0000449033
  • (PQKBWorkID)10392764
  • (PQKB)11635277
  • (DE-He213)978-1-4419-7165-4
  • (MiAaPQ)EBC3065640
  • (EXLCZ)992670000000036581
Label
Applied Probability, by Kenneth Lange, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
Second.
Extent
1 online resource (439 p.)
Form of item
online
Isbn
9781441971654
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4419-7165-4
Specific material designation
remote
System control number
  • (CKB)2670000000036581
  • (EBL)3065640
  • (SSID)ssj0000449033
  • (PQKBManifestationID)11298897
  • (PQKBTitleCode)TC0000449033
  • (PQKBWorkID)10392764
  • (PQKB)11635277
  • (DE-He213)978-1-4419-7165-4
  • (MiAaPQ)EBC3065640
  • (EXLCZ)992670000000036581

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