Multipoint linkage analysis via metropolis jumping kernels

Biometrics

Volumn 52, Issue 4, 1996, Pages 1417-1427

  Lin, Shili ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

Irreducible sets; Markov chain Monte Carlo; Multilocus genotypes; Multipoint lod scores

Indexed keywords

CHAINS; MARKOV PROCESSES;

DISEASE GENES; GENETIC STUDIES; IRREDUCIBLE SET; LINKAGE ANALYSIS; MARKOV CHAIN MONTE CARLO; MARKOV CHAIN MONTE-CARLO; MEDICAL GENETICS; MULTI-POINTS; MULTILOCUS GENOTYPE; MULTIPOINT LOD SCORE;

MONTE CARLO METHODS;

ARTICLE; BIOMETRY; GENE LOCATION; GENETIC DISORDER; GENETIC LINKAGE; GENETIC MARKER; MEDICAL GENETICS; NONHUMAN; PEDIGREE;

EID: 0030475638     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.2307/2532855     Document Type: Article

References (24)

1. Cannings, C., Thompson, E. A., and Skolnick, M. H. (1978). Probability functions on complex pedigrees. Advances in Applied Probability 10, 26-61.
2. Cottingham, R. W., Idury, R. M., and Schaffer, A. A. (1993). Faster sequential genetic linkage computations. American Journal of Human Genetics 53, 252-263.
3. Dwarkadas, S., Schaffer, A. A., Cottingham, R. W., Jr., Cox, A. L., Keleher, P., and Zwaenepoel, W. (1994). Parallelization of general-linkage analysis problems. Human Heredity 44, 127-141.
4. Easton, D. F., Bishop, D., Ford, D., Crockford, G. P., and the Breast Cancer Linkage Consortium. (1993). Genetic linkage analysis in familial breast and ovarian cancer: Results from 214 families. American Journal of Human Genetics 52, 678-701.
5. Elston, R. C. and Stewart, J. (1971). A general model for the genetic analysis of pedigree data. Human Heredity 21, 523-542.
6. Geman, S. and Geman, D. (1984). Stochastic relaxation, Gibbs distribution, and the Bayesian restoration of images. IEEE Transactions on Pattern Analysis and Machine Intelligence 6, 721-741.
7. Goradia, T. M., Lange, K., Miller, P. L., and Naskarni, P. M. (1992). Fast computation of genetic likelihoods on human pedigree data. Human Heredity 42, 42-62.
8. Lange, K. and Sobel, E. (1991). A random walk method for computing genetic location scores. American Journal of Human Genetics 49, 1320-1334.
9. Lathrop, G. M., Lalouel, J. M., Julier, C., and Ott, J. (1984). Strategies for multilocus linkage analysis in humans. Proceedings of the National Academy of Sciences of the United States of America 81, 3443-3446.
10. Lathrop, G. M., Lalouel, J. M., Julier, C., and Ott, J. (1985). Multilocus linkage analysis in humans: Detection of linkage and estimation of recombination. American Journal of Human Genetics 37, 482-498.
11. Lin, S. (1995). A scheme for constructing an irreducible Markov chain for pedigree data. Biometrics 51, 318-322.
12. Lin, S., Thompson, E., and Wijsman, E. (1993). Achieving irreducibility of the Markov chain Monte Carlo method applied to pedigree data. IMA Journal of Mathematics Applied in Medicine & Biology 10, 1-17.
13. Lin, S., Thompson, E., and Wijsman, E. (1994). Finding non-communicating sets for Markov chain Monte Carlo estimates on pedigrees. American Journal of Human Genetics 54, 695-704.
14. Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., and Teller, E. (1953). Equation of state calculation by fast computing machines. Journal of Chemical Physics 21, 1087-1092.
15. Miller, P. L., Nadkarni, P., Gelernter, J. E., Carriero, N., Pakstis, A. J., and Kidd, K. K. (1991). Parallelizing genetic linkage analysis: A case study for applying parallel computation in molecular biology. Computers and Biomedical Research 24, 234-248.
16. Ott, J. (1991). Analysis of Human Genetic Linkage. Baltimore, Maryland: The Johns Hopkins University Press.
17. Schellenberg, G. D., et al. (1990). Genetic analysis of familial Alzheimer's disease using chromosome 21 markers. Neurobiology of Aging 11, 320.
18. Schellenberg, G. D., et al. (1992). Genetic linkage evidence for a familial Alzheimer's disease locus on chromosome 14. Science 258, 668-671.
19. Sheehan, N. and Thomas, A. (1993). On the irreducibility of a Markov chain defined on a space of genotype configurations by a sampling scheme. Biometrics 49, 163-175.
20. Thomas, D. C. and Cortessis, V. (1992). A Gibbs sampling approach to linkage analysis. Human Heredity 42, 63-76.
21. Thompson, E., Lin, S., Olshen, A., and Wijsman, E. (1993). Monte Carlo analysis of a large hypercholesterolemia pedigree. Genetic Epidemiology 10, 677-682.
22. Thompson, E. A. (1984). Information gain in joint linkage analysis. IMA Journal of Mathematics Applied in Medicine & Biology 1, 31-49.
23. Tierney, L. (1994). Markov chains for exploring posterior distributions. Annals of Statistics 22, 1701-1728.
24. Wijsman, E. M. and Lin, S. (1995). Monte Carlo methods in genetic epidemiology: Opportunities and problems. American Statistical Association 1995 Proceedings of the Section on Epidemiology, 38-47.