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math.ST2026
Moment-Orthogonal Quadratic-Envelope E-Processes for Anytime-Valid Location Inference
Serhii Zabolotnii
E-process confidence sequences for unbounded means typically use a variance bound and a first-order score, leaving skewness and kurtosis unused. We construct a quadratic-envelope e…
math.ST2026
Rank-one variance inflation in polynomial estimation of signal parameters with a sign-preserving fractional-power basis
Serhii Zabolotnii
The polynomial maximization method estimates signal parameters in non-Gaussian noise from a finite description of the noise by its moments and cumulants, without a density. Known a…
math.ST2026
Closed-form fractional radial links for elliptical Mahalanobis discriminant analysis
Serhii Zabolotnii
We study binary classification when the two classes are elliptical with a shared radial generator . The log-likelihood ratio is then an additive function of the two squared Maha…