Mathematical And Statistical Methods For Genetic Analysis

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Author: Kenneth Lange
Publisher: Springer Science & Business Media
ISBN: 1475727399
Size: 18.99 MB
Format: PDF, Docs
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Mathematical And Statistical Methods For Genetic Analysis by Kenneth Lange

Original Title: Mathematical And Statistical Methods For Genetic Analysis

Geneticists now stand on the threshold of sequencing the genome in its entirety. The unprecedented insights into human disease and evolution offered by mapping and sequencing are transforming medicine and agriculture. This revolution depends vitally on the contributions made by applied mathematicians, statisticians, and computer scientists. Kenneth Lange has written a book to enable graduate students in the mathematical sciences to understand and model the epidemiological and experimental data encountered in genetics research. Mathematical, statistical, and computational principles relevant to this task are developed hand-in-hand with applications to gene mapping, risk prediction, and the testing of epidemiological hypotheses. The book covers many topics previously only accessible in journal articles, such as pedigree analysis algorithms, Markov chain, Monte Carlo methods, reconstruction of evolutionary trees, radiation hybrid mapping, and models of recombination. The whole is backed by numerous exercise sets.

Applied Probability

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Author: Kenneth Lange
Publisher: Springer Science & Business Media
ISBN: 9781441971654
Size: 43.50 MB
Format: PDF, ePub, Mobi
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Applied Probability by Kenneth Lange

Original Title: Applied Probability

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

Mm Optimization Algorithms

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Author: Kenneth Lange
Publisher: SIAM
ISBN: 1611974402
Size: 29.31 MB
Format: PDF
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Mm Optimization Algorithms by Kenneth Lange

Original Title: Mm Optimization Algorithms

MM Optimization Algorithms offers an overview of the MM principle, a device for deriving optimization algorithms satisfying the ascent or descent property. These algorithms can separate the variables of a problem, avoid large matrix inversions, linearize a problem, restore symmetry, deal with equality and inequality constraints gracefully, and turn a nondifferentiable problem into a smooth problem. The author presents the first extended treatment of MM algorithms, which are ideal for high-dimensional optimization problems in data mining, imaging, and genomics; derives numerous algorithms from a broad diversity of application areas, with a particular emphasis on statistics, biology, and data mining; and summarizes a large amount of literature that has not reached book form before.

Numerical Analysis For Statisticians

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Author: Kenneth Lange
Publisher: Springer Science & Business Media
ISBN: 1441959459
Size: 49.71 MB
Format: PDF, Kindle
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Numerical Analysis For Statisticians by Kenneth Lange

Original Title: Numerical Analysis For Statisticians

Numerical analysis is the study of computation and its accuracy, stability and often its implementation on a computer. This book focuses on the principles of numerical analysis and is intended to equip those readers who use statistics to craft their own software and to understand the advantages and disadvantages of different numerical methods.

The Wanderer Awakens

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Author: Ken Lange
Publisher: Createspace Independent Publishing Platform
ISBN: 9781539955733
Size: 24.73 MB
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The Wanderer Awakens by Ken Lange

Original Title: The Wanderer Awakens

My name is Viktor Engel Warden, and I'm here to tell you that there's more to this world than you might suspect. There are things that slither and pass unseen through the night, and it's my job to stop them. But sometimes that's easier said than done. Twenty years ago, I ended a nightmare that would've brought the world to its knees. I thought it was over...but I was wrong. The Cult of Fenrir has returned, and they're stronger than ever. Now I'm in a race to find the survivors of that day so I can stop them again. Permanently. If I get things wrong...which I wont...but if I might just bring about the apocalypse. But, hey, no pain, no gain, and all that BS. Right? Yeah, I'm not buying it either.

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