The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Simplified Estimators for the Normal Distribution When Samples Are Singly Censored or Truncated
Abstract
Easily computed estimates of the mean and variance of a Normal distribution obtained from samples which are truncated or censored are described. The estimates require only a single auxiliary function which is conveniently tabulated. Worked examples are given for sample data subject to left and right truncation. Additional examples are given for left and right censoring for the two cases in which either the point of censoring is fixed or the number of censored items is known.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“The Cohen method of maximum likelihood estimation of the mean and variance was used to account for nondetectable samples in the analysis [76].”
From Alternative (backdoor) androgen production and masculinization in the human fetus (2019) · cites this paper as [76]
Citations
Cites
ESTIMATION OF THE MEAN AND STANDARD DEVIATION OF A NORMAL POPULATION FROM A CENSORED SAMPLE
Gupta, A. (1952) · Biometrika · doi:10.1093/biomet/39.3-4.260 · Cited by 270
THE CALCULATION OF THE TIME‐MORTALITY CURVE
Bliss, C. I., & Stevens, W. (1937) · Annals of Applied Biology · doi:10.1111/j.1744-7348.1937.tb05058.x · Cited by 267
Cohen, A. (1950) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177729751 · Cited by 227
Self-citationHald, A. (1949) · Scandinavian Actuarial Journal · doi:10.1080/03461238.1949.10419767 · Cited by 174
Sarhan, A. E., & Greenberg, B. (1956) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177728267 · Cited by 143
ON THE GENERALISED PROBABLE ERROR IN MULTIPLE NORMAL CORRELATION
Pearson, K. J., & LEE, A. (1908) · Biometrika · doi:10.1093/biomet/6.1.59 · Cited by 112
ON THE SOLUTION OF ESTIMATING EQUATIONS FOR TRUNCATED AND CENSORED SAMPLES FROM NORMAL POPULATIONS
Cohen, A. (1957) · Biometrika · doi:10.1093/biomet/44.1-2.225 · Cited by 84
Self-citationRestriction and Selection in Samples from Bivariate Normal Distributions
Cohen, A. (1955) · Journal of the American Statistical Association · doi:10.1080/01621459.1955.10501974 · Cited by 53
Self-citationThe Estimation of Response-Time Distributions. II. Multi-Stimulus Distributions
Sampford, M. R. (1952) · Biometrics · doi:10.2307/3001865 · Cited by 49
Estimation in the Truncated Normal Distribution
Halperin, M. (1952) · Journal of the American Statistical Association · doi:10.1080/01621459.1952.10501184 · Cited by 45
Research works printed but not linked: 4
- Cohen A. C., 1955, J. Amer. Slat. Assn., 50, 884
- Fisher R. A., 1931, Math. Tables, 1, xxvi
- Hald A., 1949, Skandinavisk Aktuarietidskrift, 32, 119
- Ipsen J., 1949, Human Biology, 21, 1
Cited by
Sorted by citations
Element concentrations in soils and other surficial materials of the conterminous United States
Shacklette, H. T., & Boerngen, J. G. (1984) · USGS professional paper · doi:10.3133/pp1270 · Cited by 792
Maximum Likelihood Estimation in the Weibull Distribution Based On Complete and On Censored Samples
Cohen, A. (1965) · Technometrics · doi:10.1080/00401706.1965.10490300 · Cited by 726
Self-citationAssessing the Indicator Properties of Species Assemblages for Natural Areas Monitoring
Kremen, C. (1992) · Ecological Applications · doi:10.2307/1941776 · Cited by 599
Exposures to environmental toxicants and attention deficit hyperactivity disorder in U.S. children
Braun, J. M., Kahn, R. S., Froehlich, T., Auinger, P., & Lanphear, B. P. (2006) · Environmental Health Perspectives · doi:10.1289/ehp.9478 · Cited by 573
Estimation of Parameters for a Mixture of Normal Distributions
Hasselblad, V. (1966) · Technometrics · doi:10.1080/00401706.1966.10490375 · Cited by 492
Metadata
- Authors
- Cohen, A. C.
- Affiliations
- University of Georgia (US)
- Corresponding author
- Cohen, A. Clifford
- Venue
- Technometrics
- Publisher
- Informa UK Limited
- Published
- 1959-08
- Volume
- 1
- Issue
- 3
- Pages
- 217-237
- ISSN
- 0040-1706 (ISSN-L)
- 1537-2723
- OpenAlex
- W2008441678
- Cited by
- 425
- References
- 13
- Citations by year
- 2026: 4 · 2025: 3 · 2024: 2 · 2023: 9 · 2022: 8 · 2021: 6 · 2020: 6 · 2019: 9 · 2018: 7 · 2017: 6 · 2016: 6 · 2015: 8 · 2014: 10 · 2013: 4 · 2012: 8
- FWCI
- 5.72
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Technometrics (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Distribution Estimation and Applications
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Inference
- Keywords
- normal distribution, censored samples, truncated samples, mean estimation, variance estimation, left truncation, right truncation, left censoring, right censoring, auxiliary functions
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