Sharp Asymptotic Theory of Maximum Likelihood Estimation for Gaussian Processes with an RBF Kernel N6EBNRZCYX

URI	`m2://res/N6EBNRZCYX`
Kind	preprint
Creators	Ameer Qaqish, Sudipto Banerjee, Didong Li
Date	2026-10-07
MSC	62-XX, 60-XX
Subjects	arxiv math.ST, arxiv cs.LG, arxiv math.PR, arxiv stat.TH
Scope	in

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Kolmogorov continuity criterion	statement	lemma A.4	arxiv
Recovery of normalized Taylor coefficients	statement	lemma A.9	arxiv
Uniform local quadratic expansion	statement	lemma A.14	arxiv
Independent random sampling	statement	corollary 3.6	arxiv
Coverage for independent sampling	statement	lemma A.17	arxiv
Maximal inequality over a cover	statement	proposition A.6	arxiv
Log scale	statement	corollary 3.4	arxiv
Estimated information and confidence intervals	statement	corollary 3.5	arxiv
Exponential tails of the global maximizer	statement	lemma A.12	arxiv
Fisher-normalized score central limit theorem	statement	lemma A.16	arxiv
MLE asymptotics	statement	theorem 3.1	arxiv
Common projection and covariance derivatives	statement	lemma A.8	arxiv
Monotonicity of affinity	statement	lemma A.1	arxiv
GP	definition	definition 2.1	arxiv
Moments of Gaussian quadratic forms	statement	lemma A.2	arxiv
Likelihood-ratio process	statement	lemma A.11	arxiv
Minimax optimality	statement	theorem 3.3	arxiv
Supremum over a compact convex set	statement	lemma A.5	arxiv
A Paley--Zygmund-type bound	statement	lemma A.3	arxiv
Bernstein-type envelopes	statement	corollary A.7	arxiv
Affinity separation	statement	lemma A.10	arxiv
Information bounds	statement	lemma A.13	arxiv