Markov Chain Monte Carlo Methods in Pedigree Analysis

Markov Chain Monte Carlo Methods in Pedigree Analysis PDF Author: Eric Martin Sobel
Publisher:
ISBN:
Category :
Languages : en
Pages : 326

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Markov Chain Monte Carlo Methods in Pedigree Analysis

Markov Chain Monte Carlo Methods in Pedigree Analysis PDF Author: Eric Martin Sobel
Publisher:
ISBN:
Category :
Languages : en
Pages : 326

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Problems with the Determination of the Noncommunicating Classes for MCMC Applications in Pedigree Analysis

Problems with the Determination of the Noncommunicating Classes for MCMC Applications in Pedigree Analysis PDF Author: Claus Skaanning Jensen
Publisher:
ISBN:
Category : Markov processes
Languages : en
Pages : 24

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Abstract: "Exact calculations for probabilities on complex pedigrees are computationally intensive and very often infeasible. Markov chain Monte Carlo methods are frequently used to approximate probabilities and likelihoods of interest. However, when a locus with more than two alleles is considered, the underlying Markov chain is not guaranteed to be irreducible and the results of such analyses are unreliable. A method for finding the noncommunicating classes of the Markov chain would be very useful in designing algorithms that can jump between these classes. In this paper we will examine some existing work on this problem and point out its limitations. We will also comment on the difficulty of developing a useful algorithm."

Markov Chain Monte Carlo Methods for Simulation in Pedigrees

Markov Chain Monte Carlo Methods for Simulation in Pedigrees PDF Author: Ryan Cheal
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Markov Chain Monte Carlo

Markov Chain Monte Carlo PDF Author: W. S. Kendall
Publisher: World Scientific
ISBN: 9812564276
Category : Science
Languages : en
Pages : 239

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Book Description
Markov Chain Monte Carlo (MCMC) originated in statistical physics, but has spilled over into various application areas, leading to a corresponding variety of techniques and methods. That variety stimulates new ideas and developments from many different places, and there is much to be gained from cross-fertilization. This book presents five expository essays by leaders in the field, drawing from perspectives in physics, statistics and genetics, and showing how different aspects of MCMC come to the fore in different contexts. The essays derive from tutorial lectures at an interdisciplinary program at the Institute for Mathematical Sciences, Singapore, which exploited the exciting ways in which MCMC spreads across different disciplines.

Achieving Irreducibility of the Markov Chain Monte Carlo Method Applied to Pedigree Data

Achieving Irreducibility of the Markov Chain Monte Carlo Method Applied to Pedigree Data PDF Author: Shili Lin
Publisher:
ISBN:
Category :
Languages : en
Pages : 40

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Genetic Linkage Analysis Based on Identity by Descent Using Markov Chain Monte Carlo Sampling on Large Pedigrees

Genetic Linkage Analysis Based on Identity by Descent Using Markov Chain Monte Carlo Sampling on Large Pedigrees PDF Author: Alexandre Bureau
Publisher: Ann Arbor, Mich. : University Microfilms International
ISBN:
Category :
Languages : en
Pages : 312

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Markov Chain Monte Carlo in Practice

Markov Chain Monte Carlo in Practice PDF Author: W.R. Gilks
Publisher: CRC Press
ISBN: 9780412055515
Category : Mathematics
Languages : en
Pages : 538

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Book Description
In a family study of breast cancer, epidemiologists in Southern California increase the power for detecting a gene-environment interaction. In Gambia, a study helps a vaccination program reduce the incidence of Hepatitis B carriage. Archaeologists in Austria place a Bronze Age site in its true temporal location on the calendar scale. And in France, researchers map a rare disease with relatively little variation. Each of these studies applied Markov chain Monte Carlo methods to produce more accurate and inclusive results. General state-space Markov chain theory has seen several developments that have made it both more accessible and more powerful to the general statistician. Markov Chain Monte Carlo in Practice introduces MCMC methods and their applications, providing some theoretical background as well. The authors are researchers who have made key contributions in the recent development of MCMC methodology and its application. Considering the broad audience, the editors emphasize practice rather than theory, keeping the technical content to a minimum. The examples range from the simplest application, Gibbs sampling, to more complex applications. The first chapter contains enough information to allow the reader to start applying MCMC in a basic way. The following chapters cover main issues, important concepts and results, techniques for implementing MCMC, improving its performance, assessing model adequacy, choosing between models, and applications and their domains. Markov Chain Monte Carlo in Practice is a thorough, clear introduction to the methodology and applications of this simple idea with enormous potential. It shows the importance of MCMC in real applications, such as archaeology, astronomy, biostatistics, genetics, epidemiology, and image analysis, and provides an excellent base for MCMC to be applied to other fields as well.

Markov Chain Monte Carlo Simulations and Their Statistical Analysis

Markov Chain Monte Carlo Simulations and Their Statistical Analysis PDF Author: Bernd A Berg
Publisher: World Scientific Publishing Company
ISBN: 9813106379
Category : Science
Languages : en
Pages : 380

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Book Description
This book teaches modern Markov chain Monte Carlo (MC) simulation techniques step by step. The material should be accessible to advanced undergraduate students and is suitable for a course. It ranges from elementary statistics concepts (the theory behind MC simulations), through conventional Metropolis and heat bath algorithms, autocorrelations and the analysis of the performance of MC algorithms, to advanced topics including the multicanonical approach, cluster algorithms and parallel computing. Therefore, it is also of interest to researchers in the field. The book relates the theory directly to Web-based computer code. This allows readers to get quickly started with their own simulations and to verify many numerical examples easily. The present code is in Fortran 77, for which compilers are freely available. The principles taught are important for users of other programming languages, like C or C++.

Analysis of Pedigree Data Using Methods Combining Peeling and Gibbs Sampling

Analysis of Pedigree Data Using Methods Combining Peeling and Gibbs Sampling PDF Author: Augustine Kong
Publisher:
ISBN:
Category :
Languages : en
Pages : 7

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Book Description
Peeling and Gibbs sampling are two computational tools for genetic pedigree analysis. While both are powerful methods, each has its limitations. There are problems where the application of either one technique alone will not lead to satisfactory results. For some of these problems, we propose methods which combine peeling and Gibbs sampling. The key idea is to take full advantage of the strengths of each method and eliminate the weaknesses. Pedigree analysis, Peeling, Gibbs sampling, Monte Carlo, Markov chain, Likelihoods, Lod core, Bayesian inference.

Statistical Inference from Genetic Data on Pedigrees

Statistical Inference from Genetic Data on Pedigrees PDF Author: Elizabeth Alison Thompson
Publisher: IMS
ISBN: 9780940600492
Category : Reference
Languages : en
Pages : 194

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Book Description
Annotation While this monograph is not about show dogs or cats, its statistical methods could be applied to tracing the pedigree of these species as well as humans. Thompson (U. of Washington) covers such topics as genetic models, population allele frequencies, kinship/inbreeding coefficients, and Monte Carlo estimation. Includes supporting tables and figures. Suitable as a supplementary text or primary text for advanced students. Lacks an index. c. Book News Inc.