The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Some probability inequalities for ordered $\rm MTP\sb 2$ random variables: a proof of the Simes conjecture
Open accessAbstract
Some new probability inequalities involving the ordered components of an $MTP_2$ random vector are derived, which provide an analytical proof of an important conjecture in the field of multiple hypothesis testing. This conjecture has been mostly validated so far using simulation.
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Citations
Cites
An improved Bonferroni procedure for multiple tests of significance
SIMES, R. J. (1986) · Biometrika · doi:10.1093/biomet/73.3.751 · Cited by 2,396
Cited by
The control of the false discovery rate in multiple testing under dependency
Benjamini, Y., & Yekutieli, D. (2001) · The Annals of Statistics · doi:10.1214/aos/1013699998 · Cited by 10,490
Discovering the False Discovery Rate
Benjamini, Y. (2010) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.1467-9868.2010.00746.x · Cited by 629
Multiple hypothesis testing in genomics
Goeman, J. J., & Solari, A. (2014) · Statistics in Medicine · doi:10.1002/sim.6082 · Cited by 375
Generalizations of the familywise error rate
Lehmann, E. L., & Romano, J. P. (2005) · The Annals of Statistics · doi:10.1214/009053605000000084 · Cited by 320
“In particular, Sarkar and Chang [11] and Sarkar [10] have shown that the Simes inequality holds for the family of distributions which is characterized by the multivariate positive of order 2 condition, as well as some other important distributions.”
BackgroundSome Results on False Discovery Rate in Stepwise multiple testing procedures
Sarkar, S. K. (2002) · The Annals of Statistics · doi:10.1214/aos/1015362192 · Cited by 268
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Metadata
- Authors
- Sarkar, S. K.
- Venue
- The Annals of Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1998-04-01
- Volume
- 26
- Issue
- 2
- Pages
- 494-504
- ISSN
- 0090-5364 (ISSN-L)
- OpenAlex
- W2060072410
- Cited by
- 242
- References
- 1
- FWCI
- 5.69
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Sarkar, S. K. (1998). Some probability inequalities for ordered $\rm MTP\sb 2$ random variables: a proof of the Simes conjecture. The Annals of Statistics. https://doi.org/10.1214/aos/1028144846
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
