Entropy-Based Goodness-of-Fit Tests for Generalized $\kappa$ -Gaussian Distributions R8NHQ41GMX

URI	`m2://res/R8NHQ41GMX`
Kind	preprint
Creators	Mehmet Siddik Cadirci, Konstantinos Zografos
Date	2026-09-08
MSC	62-XX
Subjects	arxiv math.ST, 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
$\kappa\to0$ limit	statement	corollary 5.6	arxiv
Marginal consistency	statement	lemma 5.2	arxiv
$k$-th nearest neighbour distance	definition	definition 4.1	arxiv
Joint consistency	statement	lemma 5.3	arxiv
Moment expansion for $k$-NN power functionals	statement	lemma 5.1	arxiv
Bivariate CLT and asymptotic normality of $\widehat S_{\kappa,n}$	statement	theorem 6.1	arxiv
$L^2$ consistency of $\widehat S_{\kappa,n}$	statement	theorem 5.4	arxiv
Variance-existence threshold	statement	proposition 3.1	arxiv
Local $k$-NN density estimator	definition	definition 4.2	arxiv
Scaling Identity for the $\kappa$-Exponential Function	statement	lemma 2.1	arxiv