Evidence map›Paper›PMID 30174379›Full record

ArticleStatistics2018

Asymptotic theory for maximum likelihood estimates in reduced-rank multivariate generalized linear models.

E Bura, S Duarte, L Forzani, E Smucler, M Sued

Abstract read
In one paragraph

Article in Statistics, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

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3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

  1. Statistical Inference with M-Estimators on Adaptively Collected Data.Advances in neural information processing systems · 2021
    Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

5 authors.

E BuraInstitute of Statistics and Mathematical Methods in Economics, TU Wien, Vienna, Austria.
S DuarteFacultad de Ingeniería Química, UNL, Santa Fe, Argentina.
L ForzaniFacultad de Ingeniería Química, UNL, Santa Fe, Argentina.
E SmuclerDepartment of Statistics, University of British Columbia, Vancouver, BC, Canada.
M SuedInstituto de Cálculo, UBA, Buenos Aires, Argentina.

Funding

Austrian Science Fund FWF P 30690
6 · The paper itself

Abstract

Reduced-rank regression is a dimensionality reduction method with many applications. The asymptotic theory for reduced rank estimators of parameter matrices in multivariate linear models has been studied extensively. In contrast, few theoretical results are available for reduced-rank multivariate generalized linear models. We develop M-estimation theory for concave criterion functions that are maximized over parameter spaces that are neither convex nor closed. These results are used to derive the consistency and asymptotic distribution of maximum likelihood estimators in reduced-rank multivariate generalized linear models, when the response and predictor vectors have a joint distribution. We illustrate our results in a real data classification problem with binary covariates.

Indexed as

exponential familyM-estimationnon-convexparameter spacesrank restriction

Identifiers

PMID30174379
PMCPMC6101205

What OpenQuestion holds

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LicenceCC BY
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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.