David Wright

Series near origin, asymptotic for large |z|, integration in between.

We use QR decomposition to do MultiLinearRegression. The QRDecomposition produces the full n X n Q, which is too big for memory for large data sets (e.g. n = 10000)....

Circular sample analysis for Mean, variance, moments, Kuiper tests, etc. Abstract circular distribution and concrete sub-types including von Mies, uniform, wrapped normal, etc. Does not include support for spherical and...

The Kuiper Exact Test is generalizable to r X c contingency tables. Just iterate over all tables with the same marginal totals, compute the probability of each, and add up...

Better initial guesses for logistic regression

1

We do a full-on multi-dimensional optimization to get logistic regression parameters via likelihood maximization. I don't see any alternatives in the literature, but we should at least be able to...

An immediate application would be linear logistic regression, for which we can produce derivatives analytically.

BesselJZero(double nu, int k), BesselKZero(double nu, int k), AiryAiZero(int k), AiryBiZero(int k) Known initial approximation are good. We should be able to increase convergence speed by using derivatives (and even...

Add method to FrameView that supports randomization: Randomize(int n): Seperate into n equal groups. Randomize(double p_1, double p_2, ..., double p_{n-1}): Seperate into n groups in the given proportions.

Combine two data frames. Could be symmetric, i.e. FrameTable.Union (FrameView a, FrameView b) :: FrameTable, or append-oriented, i.e. FrameTable.Append(FrameView) :: void.