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.
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The rate of convergence for multivariate sampling statistics
11 Pith papers cite this work, alongside 743 external citations. Polarity classification is still indexing.
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Proves cutoff at entropic time log n/h for reversible mixtures of permuted Markov chains under mild assumptions on the base chains.
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.
Kolmogorov n-width theory plus PRESS statistics yield closed-form optimal spline resolution; KORE estimates bias/noise scales from two pilots and matches CV performance with far fewer fits.
Prior information in Gaussian graphical models is converted to an effective sample size, with two Bayes-factor and information-ratio sample-size planning procedures.
Derives exact operating characteristic corrections and a numerical search over sample sizes to obtain optimal two-stage Bayes factor designs for two-arm binary-endpoint phase II trials that minimize expected sample size under the null.
A divide-and-conquer sequential Monte Carlo sampler is proposed for chained Markov melding to enable sampling from tree-structured joint models with an arbitrary number of submodels.
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.
Establishes strong consistency and weak convergence for inverse-probability-weighted estimators of state-specific cumulative payment processes in a sojourn-payment model for aggregated multi-state systems under left-truncation and right-censoring.
Review and simulation comparison of more than 40 threshold selection procedures for univariate extreme value analysis, with application to daily rainfall data.
Modifies Gibbs sampler for GP state-space models, introduces CFA measurement structure, and validates software via simulation-based calibration to enable reliable learning of nonlinear latent dynamics.
citing papers explorer
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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.
-
Cutoff for mixtures of permuted Markov chains: reversible case
Proves cutoff at entropic time log n/h for reversible mixtures of permuted Markov chains under mild assumptions on the base chains.
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Subgraph counting estimation for the $\beta$-model in sparse networks
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.
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Solve for the Hyperparameter, Skip the Search: Kolmogorov-Optimal Scaling Laws for Spline Regression
Kolmogorov n-width theory plus PRESS statistics yield closed-form optimal spline resolution; KORE estimates bias/noise scales from two pilots and matches CV performance with far fewer fits.
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What is your Prior Worth? Effective Sample Size and Sample Size Planning for Gaussian Graphical Models
Prior information in Gaussian graphical models is converted to an effective sample size, with two Bayes-factor and information-ratio sample-size planning procedures.
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Optimal sequential two-stage Bayes Factor Design for two-arm clinical Phase II Trials with binary Endpoints
Derives exact operating characteristic corrections and a numerical search over sample sizes to obtain optimal two-stage Bayes factor designs for two-arm binary-endpoint phase II trials that minimize expected sample size under the null.
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Chained Markov melding using divide and conquer sequential Monte Carlo
A divide-and-conquer sequential Monte Carlo sampler is proposed for chained Markov melding to enable sampling from tree-structured joint models with an arbitrary number of submodels.
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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.
-
Payment Process Estimation in Aggregated Insurance Models
Establishes strong consistency and weak convergence for inverse-probability-weighted estimators of state-specific cumulative payment processes in a sojourn-payment model for aggregated multi-state systems under left-truncation and right-censoring.
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Choosing the threshold in extreme value analysis
Review and simulation comparison of more than 40 threshold selection procedures for univariate extreme value analysis, with application to daily rainfall data.
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Learning Nonlinear Dynamics: Improving the Estimation Efficiency and Reliability of Gaussian Process State-Space Models
Modifies Gibbs sampler for GP state-space models, introduces CFA measurement structure, and validates software via simulation-based calibration to enable reliable learning of nonlinear latent dynamics.