The price of a weak shadow variable: inference under nonignorable missingness as relevance vanishes T15EJSPCNG

URI	`m2://res/T15EJSPCNG`
Kind	preprint
Creators	Michael Bücker
Date	2026-10-10
Subjects	arxiv stat.ME, arxiv math.ST, arxiv stat.TH
Scope	border

Expressions

e1: version, preprint

Date	2026-10-10
Ids	arXiv 2610.14695

Items in this resource

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

Item	Kind	Where	Source
How the ridge advances the small direction	statement	lemma 5.2	arxiv
Sandwich	statement	corollary 3.4	arxiv
Quadratic growth	statement	proposition 4.2	arxiv
An atom at the essential supremum	statement	corollary \thechapter.C.1	arxiv
Sieve misspecification	statement	proposition \thechapter.C.1	arxiv
The Neumann remainder	statement	lemma \thechapter.C.3	arxiv
Influence function and asymptotic normality	statement	theorem 5.2	arxiv
Factorization of the design matrix	statement	lemma 5.1	arxiv
The reach of the scan	statement	theorem 4.1	arxiv
Closed form for the intercept	statement	lemma 3.1	arxiv
Variance propagation	statement	lemma \thechapter.C.1	arxiv
Integral representation	statement	theorem 3.2	arxiv
An atom at the essential supremum	statement	corollary 3.5	arxiv
Orders in the relevance	statement	theorem 5.1	arxiv
Gaussian case	statement	corollary 3.3	arxiv
\(\Lambda\) is free of the relevance	statement	proposition 4.1	arxiv
The effective sample size never exceeds the respondents	statement	corollary 3.2	arxiv
The dichotomy	statement	proposition 3.1	arxiv
The local-to-zero limit is non-degenerate	statement	theorem 5.3	arxiv
The identified curve	statement	proposition 2.1	arxiv
Exact decomposition of the inverse-weight second moment	statement	theorem 3.1	arxiv
The identifying signal factorizes through the relevance	statement	lemma 2.1	arxiv
The standard deviation as a function of the ridge	statement	proposition 5.2	arxiv
Effective sample size	statement	corollary 3.1	arxiv
Factorization	statement	lemma \thechapter.C.2	arxiv
Variance propagation under the response tilt	statement	lemma 3.2	arxiv
The sieve bias is free of the relevance	statement	proposition 5.1	arxiv

Catalogue records

arxiv: 2610.14695 (work)