Abstract
The false positive rate of a genome scan that uses interval mapping involves the
distribution of the maximum of a Gaussian process, for which there are two approximations: one relying on the Rice-Davies formula, which is accurate for relatively sparsely placed markers, and one that is accurate for closely spaced markers. In this paper we combine these two approximations to obtain an approximation that is accurate for both sparse and dense markers. We also give a new proof of the Rice-Davies formula.
distribution of the maximum of a Gaussian process, for which there are two approximations: one relying on the Rice-Davies formula, which is accurate for relatively sparsely placed markers, and one that is accurate for closely spaced markers. In this paper we combine these two approximations to obtain an approximation that is accurate for both sparse and dense markers. We also give a new proof of the Rice-Davies formula.
| Original language | American English |
|---|---|
| Title of host publication | Development of Modern Statistics and Related Topics |
| Subtitle of host publication | In Celebration Of Prof Yaoting Zhang's 70th Birthday |
| Editors | Jian Huang, Heping Zhang |
| Place of Publication | River Edge, NJ |
| Publisher | World Scientific |
| Pages | 10-19 |
| ISBN (Electronic) | 1-281-95609-0 |
| DOIs | |
| State | Published - 2003 |
Publication series
| Name | Series in Biostatistics |
|---|---|
| Volume | 1 |