Quadratic Forms Articles

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9/13/2024 • EN

Two approaches to approximating sums of chisquareds

Compares Satterthwaite, Liu, and leading-term approximations for tail probabilities of weighted sums of chi-squared variables in high-dimensional genomic data.

Approximation Methods Chi Squared Distribution Computational Methods Quadratic Forms statistics

Thomas Lumley

12/14/2023 • EN

How good is the leading eigenvalue approximation to quadratic forms?

Analyzes the accuracy of a leading eigenvalue approximation for quadratic forms in Gaussian variables, comparing it to traditional methods.

Eigenvalue Approximation Gaussian Variables Numerical Methods Quadratic Forms statistics

Thomas Lumley

12/6/2017 • EN

How to add chi-squareds

Explores methods for computing tail probabilities of linear combinations of chi-squared variables, focusing on applications in genetics with large datasets.

Chi Squared Distribution Gaussian Variables Probability Quadratic Forms statistics

Thomas Lumley

9/27/2016 • EN

Large quadratic forms

Explores computational challenges of large quadratic forms in genomics, focusing on eigenvalue approximations for high-dimensional statistical tests like SKAT.

Eigenvalues Genomics linear algebra Quadratic Forms statistics

Thomas Lumley

Quadratic Forms Articles

Two approaches to approximating sums of chisquareds

How good is the leading eigenvalue approximation to quadratic forms?

How to add chi-squareds

Large quadratic forms

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