Approximation of the p-value in a multipoint linkage analysis using partially informative markers

B. Yakir

doi:10.1016/S0362-546X(01)00326-1

Approximation of the p-value in a multipoint linkage analysis using partially informative markers

B. Yakir^*

^*Corresponding author for this work

Department of Statistics

Research output: Contribution to journal › Conference article › peer-review

Abstract

We develop a large deviations approximation of the probability that the maximum of a Gaussian process exceeds a threshold. The expansion depends on the local behavior of the correlation function. The derivation is applied to the problem of approximating a p-value in a special case of multi-point allele-sharing linkage analysis with partly informative markers. The case we analyze involves pedigrees of an affected grandparent-grandchild pair and their relevant relatives.

Original language	English
Pages (from-to)	1973-1984
Number of pages	12
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	47
Issue number	3
DOIs	https://doi.org/10.1016/S0362-546X(01)00326-1
State	Published - Aug 2001
Event	3rd World Congress of Nonlinear Analysts - Catania, Sicily, Italy Duration: 19 Jul 2000 → 26 Jul 2000

Keywords

Gaussian process
Large deviations
Linkage analysis
Measure transformation
p-value

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10.1016/S0362-546X(01)00326-1

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abstract = "We develop a large deviations approximation of the probability that the maximum of a Gaussian process exceeds a threshold. The expansion depends on the local behavior of the correlation function. The derivation is applied to the problem of approximating a p-value in a special case of multi-point allele-sharing linkage analysis with partly informative markers. The case we analyze involves pedigrees of an affected grandparent-grandchild pair and their relevant relatives.",

keywords = "Gaussian process, Large deviations, Linkage analysis, Measure transformation, p-value",

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AB - We develop a large deviations approximation of the probability that the maximum of a Gaussian process exceeds a threshold. The expansion depends on the local behavior of the correlation function. The derivation is applied to the problem of approximating a p-value in a special case of multi-point allele-sharing linkage analysis with partly informative markers. The case we analyze involves pedigrees of an affected grandparent-grandchild pair and their relevant relatives.

KW - Gaussian process

KW - Large deviations

KW - Linkage analysis

KW - Measure transformation

KW - p-value

UR - https://www.scopus.com/pages/publications/0035423679

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JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 3

T2 - 3rd World Congress of Nonlinear Analysts

Y2 - 19 July 2000 through 26 July 2000

ER -

Approximation of the p-value in a multipoint linkage analysis using partially informative markers

Abstract

Keywords

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