Let µ be a probability measure on the real line with finite moments of all orders. Apply the Gram-Schmidt orthogonalization process to the system {1, x, x², . . . , xn, . . .} to get orthogonal ...

Let 𝑇 be a unital, continuous linear functional defined on complex Banach algebra 𝐴. First, we prove an approximate version of the Gleason-Kahane-Żelazko theorem: given ϵ > 0, there exists an 𝑀 > 0 ...

Genetic prediction of common diseases is based on testing multiple genetic variants with weak effect sizes. Standard logistic regression and Cox Proportional Hazard models that assess the combined ...