The EM algorithm in genetics, genomics and public health

Statistical Science

Volumn 25, Issue 4, 2010, Pages 450-457

  Laird, Nan M ^a  

^a HARVARD SCHOOL OF PUBLIC HEALTH   (United States)

Author keywords

Diffusion batteries; Finding regulatory motifs; Gene counting; Incomplete data; Linkage analysis; Maximum likelihood; Particle size distributions

Indexed keywords

EID: 79959832424     PISSN: 08834237     EISSN: None     Source Type: Journal    
DOI: 10.1214/08-STS270     Document Type: Review

References (19)

1. BAILEY, T. L. and ELKAN, C. (1995). Unsupervised learning of multiple motifs in biopolymers using expectation maximization. Mach. Learn. 41 51-80.
2. BAUM, L. E., PETRIE, T., SOULES, G. and WEISS, N. (1970). A maximization technique occurring in the statistical analysis of probabilistic functions of Markov chains. Ann. Math. Statist. 41 164-171.
3. CARDON, L. R. and STORMO, G. D. (1992). Expectation maximization algorithm for identifying protein-binding sites with variable lengths from unaligned DNA fragments. J. Mol. Biol. 223 159-170.
4. DEMPSTER, A. P., LAIRD, N. M. and RUBIN, D. B. (1977). Maximum likelihood from incomplete data via the EM algorithm. J. Roy. Statist. Soc. Ser. B 39 1-38.
5. HASSELBLAD, V. (1966). Estimation of parameters for a mixture of normal distributions. Technometrics 8 431-444.
6. JONES, N. C. and PEVZNER, P. A. (2004). An Introduction to Bioinformatics Algorithms. MIT Press, Cambridge, MA.
7. KAY, J. (1997). The EM algorithm in medical imaging. Stat. Methods Med. Res. 6 55-75.
8. KRUGLYAK, L. and LANDER, E. S. (1995). Complete multipoint sib-pair analysis of qualitative and quantitative traits. American Journal of Human Genetics 57 439-454.
9. LANGE, K. (2002). Mathematical and Statistical Methods for Genetic Analysis, 2nd ed. Springer, New York.
10. LANGE, K. and CARSON, R. (1984). EM reconstruction algorithms for emission and transmission tomography. Journal of Computer Assisted Tomography 8 306-316.
11. LAWRENCE, C. E., ALTSCHUL, S. F., BOGUSKI, M. S., LIU, J. S., NEUWALD, A. F. andWOOTTON, J. C. (1993). Detecting subtle sequence signals: A Gibbs sampling strategy for multiple alignment. Science 262 208-214.
12. LAWRENCE, C. E. and REILLY, A. A. (1990). An expectation maximization (EM) algorithm for the identification and characterization of common sites in unaligned biopolymer sequences. PROTEINS: Structure, Function, and Genetics 7 41-51.
13. MAHER, E. F. and LAIRD, N. M. (1985). EM algorithm reconstruction of particle size distributions from diffusion battery data. Journal of Aerosol Science 16 557-570.
14. MCLACHLAN, G. J. and KRISHNAN, T. (1997). The EM Algorithm and Extensions. Wiley, New York.
15. ORCHARD, T. and WOODBURY, M. A. (1972). A missing information principle: Theory and applications. In Proceedings of the Sixth Berkeley Symp. Math. Statist. Probab. I 697-715. Univ. California Press, Berkeley.
16. PARIDA, L. (2008). Pattern Discovery in Bioinformatics: Theory & Algorithms. CRC Mathematicsal and Computational Biology Series 16. Chapman & Hall/CRC, Boca Raton, Florida.
17. RISCH, N. (1990). Linkage strategies for genetically complex traits. III. The effect of marker polymorphism on analysis of affected relative pairs. American Journal of Human Genetics 46 242-253.
18. SMITH, C. A. (1957). Counting methods in genetical statistics. Annals of Human Genetics 21 254-276.
19. VARDI, Y., SHEPP, L. A. and KAUFMAN, L. (1985). A statistical model for positron emission tomography. J. Amer. Statist. Assoc. 80 8-37.