Abstract
A challenging problem in modern genetics is to identify the collection of factors responsible for increasing the risk of specified complex diseases. The progress in the human genome reading permitted to collect the genetic datasets for analysis by means of various complementary statistical tools. The intensive studies in this research domain are carried out in leading research centers all over the world. One has to operate with data of huge dimensions and this is one of the main difficulties in detection of genetic susceptibility to common diseases such as hypertension, myocardial infarction and others. In this chapter, we concentrate on the multifactor dimensionality reduction method, and we also discuss its modifications and extensions. Our recent results on the central limit theorem related to this method are provided as well. Moreover, we explain the main features of the logic regression where we tackle the simulated annealing for stochastic minimization of functions defined on a graph with forests as vertices. Finally, we mention several important research directions which are out of the scope of the present chapter.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Bulinski, A. (2015). Some Statistical Methods in Genetics. In: Schmidt, V. (eds) Stochastic Geometry, Spatial Statistics and Random Fields. Lecture Notes in Mathematics, vol 2120. Springer, Cham. https://doi.org/10.1007/978-3-319-10064-7_10
Download citation
DOI: https://doi.org/10.1007/978-3-319-10064-7_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-10063-0
Online ISBN: 978-3-319-10064-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)