2018
DOI: 10.1214/18-aoas1155sf
|View full text |Cite
|
Sign up to set email alerts
|

Hypothesis testing for high-dimensional multinomials: A selective review

Abstract: The statistical analysis of discrete data has been the subject of extensive statistical research dating back to the work of Pearson. In this survey we review some recently developed methods for testing hypotheses about high-dimensional multinomials. Traditional tests like the χ 2 -test and the likelihood ratio test can have poor power in the high-dimensional setting. Much of the research in this area has focused on finding tests with asymptotically Normal limits and developing (stringent) conditions under whic… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

1
45
1
1

Year Published

2019
2019
2024
2024

Publication Types

Select...
5
2
2

Relationship

0
9

Authors

Journals

citations
Cited by 51 publications
(48 citation statements)
references
References 57 publications
1
45
1
1
Order By: Relevance
“…Remark: Here we are specifically interested in whether the distribution of victims For a recent overview of the difficulties and various approaches to dealing with these and related high-dimensional testing issues, we refer the interested reader to [34].…”
Section: Body Camera Effectsmentioning
confidence: 99%
“…Remark: Here we are specifically interested in whether the distribution of victims For a recent overview of the difficulties and various approaches to dealing with these and related high-dimensional testing issues, we refer the interested reader to [34].…”
Section: Body Camera Effectsmentioning
confidence: 99%
“…Our proposed evaluation metric is closely related to the total variation distance which has been studied extensively in the distribution testing literature. It is known that total variation distance estimates have pessimistic minimax estimation rates in high dimensions (Balakrishnan and Wasserman, 2017). Our work overcomes this by utilizing p model and an estimate of p ref .…”
Section: Distributional Divergence Estimationmentioning
confidence: 96%
“…Many theories and techniques in statistics, such as hypothesis testing or confidence measures [307], can be applied in this research. There are more studies on the reliability estimation of the results in traditional statistics and other application fields [308]- [310], but it does not seem to have attracted enough attention in the field of Android malware detection. This phenomenon can be attributed to the fact that most researchers focus their evaluation on the performance of classifiers, and the fact that many studies are based on an established and labeled dataset, without considering the use of classifiers in real-world environments [283].…”
Section: E Classifier Evaluationmentioning
confidence: 99%