The Bayes-optimal classifier for elliptical distributions is derived in closed form from the radial generator, yielding a tuning-free alternative to spline GAMs with proven consistency.
hub
The Annals of Statistics , author=
15 Pith papers cite this work, alongside 204 external citations. Polarity classification is still indexing.
15
Pith papers citing it
204
external citations · external index
hub tools
citation-role summary
background 1
citation-polarity summary
years
2026 15roles
background 1polarities
background 1representative citing papers
Derives matching lower and upper bounds on minimal detectable intra-block drift amplitude δ_min(n,α,β)=Θ(n^{-1/2}) for finite-key E91-type QKD using minimax hypothesis testing and CUSUM statistic.
Heat-kernel smoothing over weighted points on a compact manifold yields a scale-dependent geometric effective sample size that discounts nearby and duplicate particles.
A cycle-counting-ratio estimator for the β-model achieves minimax-optimal MSE and consistency under the weak conditions θ_max→0 and θ_t‖θ‖₁→∞, even at network densities near log n/n.
Proposes and analyzes a homogeneity test using squared L2 distance of empirical EOT maps to uniform-on-ball reference, with FCLT, Gaussian quadratic null limit, consistency, local power, and weighted multiplier bootstrap.
A PN in a 90 Myr M31 cluster is associated via position and velocity, implying a 5.66 solar mass progenitor with nitrogen enhancement.
Derives exact marginal likelihood under finite-support Huber contamination via Dirichlet-Beta priors and dynamic programming over count allocations.
Using random matrix theory, the authors prove spectral separability of mean-shift spikes and asymptotic invariance of the original eigenspace, then introduce a knockoff-mean two-stage PCA procedure to remove the contamination.
Proposes adaptive multiple importance sampling for robust Bayesian model evidence estimation under parameter non-identifiability, shown to outperform deterministic methods on ecological case studies while being cheaper than MCMC.
A functional central limit theorem for pattern frequencies in 2D samples enables nonparametric goodness-of-fit, two-sample, and symmetry tests for copulas, with bootstrap critical values and parametric examples.
crossfit is an R package that supplies a general-purpose cross-fitting engine driven by user-specified DAGs of nuisance models with configurable fold allocations and reproducibility features.
Boson correlations for states with well-behaved Glauber-Sudarshan P-representations are spurious statistical correlations due to Simpson's paradox from symmetry-breaking in ensemble averages over varying geometries.
Proves reverse Poincaré inequality on global attractor of 2D reaction-diffusion system to obtain near-parametric statistical recovery of initial conditions from discrete observations.
Compares six meta-learners (Cox/RSF risk models paired with elastic net/RF CATE models) via simulations differing in hazard complexity and censoring, and releases the R package crsurvlearners.
citing papers explorer
-
Closed-form fractional radial links for elliptical Mahalanobis discriminant analysis
The Bayes-optimal classifier for elliptical distributions is derived in closed form from the radial generator, yielding a tuning-free alternative to spline GAMs with proven consistency.
-
Pattern-based tests for two-dimensional copulas
A functional central limit theorem for pattern frequencies in 2D samples enables nonparametric goodness-of-fit, two-sample, and symmetry tests for copulas, with bootstrap critical values and parametric examples.
-
On statistical inference for non-linear dynamical systems evolving in their global attractor
Proves reverse Poincaré inequality on global attractor of 2D reaction-diffusion system to obtain near-parametric statistical recovery of initial conditions from discrete observations.