The DOI matches its Crossref record.
On Optimal Asymptotic Tests of Composite Statistical Hypotheses
Open accessAbstract
A locally asymptotically most powerful test for a composite hypothesis $H:\xi = \xi_0$ has been developed for the case where the observable random variables $\{X_{nk}, k = 1, 2, \cdots, n\}$ are independently but not necessarily identically distributed. However, their distributions depend on $s + 1$ parameters, one being $\xi$ under test and the other being a vector $\theta = (\theta_1, \cdots, \theta_s)$ of nuisance parameters. The theory is illustrated with an example from the field of astronomy.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
Double/debiased machine learning for treatment and structural parameters
Newey, W. K., Hansen, C., Duflo, E., Robins, J., Chernozhukov, V., Demirer, M., & Chetverikov, D. (2017) · doi:10.1920/wp.cem.2017.2817 · Cited by 486
Debiased machine learning of conditional average treatment effects and other causal functions
Semenova, V., & Chernozhukov, V. (2021) · The Econometrics Journal · doi:10.1093/ectj/utaa027 · Cited by 167
Specification tests for the propensity score
Sant’Anna, P. H. C., & Song, X. (2019) · Journal of Econometrics · doi:10.1016/j.jeconom.2019.02.002 · Cited by 31
Metadata
- Authors
- Bartoo, J. B., & Puri, P. S.
- Venue
- The Annals of Mathematical Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1967-12
- Volume
- 38
- Issue
- 6
- Pages
- 1845-1852
- ISSN
- 0003-4851 (ISSN-L)
- OpenAlex
- W2088093133
- Cited by
- 293
- References
- 0
- FWCI
- 3.81
- Type
- journal article
- Language
- en
- Open access
- diamond
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: On Optimal Asymptotic Tests of Composite Statistical Hypotheses. https://app.cochat.ai/papers/10.1214/aoms/1177698617
- The paper
- Bartoo, J. B., & Puri, P. S. (1967). On Optimal Asymptotic Tests of Composite Statistical Hypotheses. The Annals of Mathematical Statistics. https://doi.org/10.1214/aoms/1177698617
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.
