@article {fernando_algorithms_2006,
title = {Algorithms to compute allele state and origin probabilities for QTL mapping.},
journal = {Proceedings of the 8th World Congress on Genetics Applied to Livestock Production, Belo Horizonte, Minas Gerais, Brazil, 13-18 August, 2006},
year = {2006},
note = {CABI:20063169979},
pages = {20.11},
abstract = {QTL allele state and allele origin probabilities are used in linear model methods to map QTL. When data are from complex pedigrees, MCMC methods are useful to compute these probabilities. Early applications of MCMC methods relied on obtaining candidate samples from simple proposal distributions; these are then accepted or rejected by the Metropolis-Hastings algorithm. We show here that these simple methods can give erroneous results, and discuss using proposal distributions that closely approximate the posterior distribution of the genetic variables. Our results indicate that this is a promising strategy.},
keywords = {alleles, gene mapping, genetic variation, linear models, livestock, mathematical models, pedigree, quantitative trait loci},
author = {Rohan L Fernando and Totir, L. R. and Pita, F. V. C. and Stricker, C. and Abraham, K. J.}
}
@article {stricker_comparison_2002,
title = {A comparison of efficient genotype samplers for complex pedigrees and multiple linked loci.},
volume = {2002. Session 21},
year = {2002},
note = {CABI:20033053437},
pages = {21.12},
author = {Stricker, C. and Schelling, M. and Du, F. and Hoeschele, I. and Fernandez, S. A. and Rohan L Fernando}
}
@article {stricker_theoretical_1998,
title = {Some theoretical aspects of finite locus models.},
volume = {25: Lactation; growth and efficiency; meat quality; role of exotic breeds in the tropics; design of village breeding programmes;},
year = {1998},
note = {CABI:19980107002},
pages = {25{\textendash}32},
keywords = {genetic analysis, mathematical models, quantitative genetics, reviews},
author = {Stricker, C. and Rohan L Fernando}
}
@article {stricker_linkage_1994,
title = {Linkage analysis for large pedigrees under mixed inheritance.},
journal = {Proceedings of the World Congress on Genetics applied to Livestock Production},
volume = {21. Gene mapping; polymorphisms; disease genetic markers; marker assisted selection; gene expression; transgenes; non-convention},
year = {1994},
note = {CABI:19950108751},
pages = {51{\textendash}54},
abstract = {Under the usual mixed model of inheritance (Elston and Stewart, 1971; Morton and McLean, 1974), the\ exact likelihood cannot be calculated for large pedigrees, and likelihood analysis for large pedigrees is\ usually based on approximations of the likelihood. Fernando et al. (1994) proposed an alternative mixed\ model with a finitenumber of polygenic loci (FPMM), for which the likelihood can be efficiently calculated\ linkage analysis by maximum likelihood under an FPMM was compared with that under the usual mixed\

model (UMM), where the likelihood under the UMM was approximated as described by Hasstedt (1982).

\

},
keywords = {America, Commonwealth of Nations, Developed Countries, genes, linkage, major genes, marker genes, North America, OECD Countries, statistical analysis},
author = {Stricker, C. and Rohan L Fernando and Elston, R. C.}
}