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.
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“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
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Singly Truncated and Singly Censored Samples from the Normal Distribution
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Howarth, R. J. (2017) · Springer eBooks · doi:10.1007/978-3-319-57315-1_3
Suits, V. J., & Wenrich-Verbeek, K. J. (1980) · Antarctica A Keystone in a Changing World · doi:10.3133/ofr801091
McCool, J. I. (2005) · Encyclopedia of Statistical Sciences · doi:10.1002/0471667196.ess0211.pub2
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Fatigue Failure of Composite Bolted Joints.
Herrington, P. D. (1991) · doi:10.31390/gradschool_disstheses.5243
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Balakrishnan, N., Cramer, E., & Kundu, D. (2023) · Elsevier eBooks · doi:10.1016/b978-0-12-398387-9.00014-3
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Tidball, R. R., Wilson, S. A., & Cappalucci, T. (1991) · Antarctica A Keystone in a Changing World · doi:10.3133/ofr91371
Affolter, R. H., Hatch, J. R., & Ryer, T. A. (1979) · Antarctica A Keystone in a Changing World · doi:10.3133/ofr79858
Gough, L. P., & Severson, R. C. (1981) · USGS professional paper · doi:10.3133/pp1134c
Severson, R. C., Gough, L. P., & van den Boom, G. (1990) · Antarctica A Keystone in a Changing World · doi:10.3133/ofr90493
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Fukuhara, R., Shimura, T., & Tanaka, Y. Y. (2026) · Nature Physics · doi:10.1038/s41567-026-03268-6
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Wang, W., Li, H.-M., & Huang, W.-H. (2026) · Mathematics and Computers in Simulation · doi:10.1016/j.matcom.2026.08.022
Bustamante, S. K. C., Ticona, B., Quispe-Galindo, M. R., & Vásquez-Regalado, J. (2026) · Revista Brasileira de Ciência do Solo · doi:10.36783/18069657rbcs20250215
Estimation of the Mean and Variance for Normal Distributions whose Both Sides are Truncated
Hong, C.-S., & Choi, Y.-Y. (2002) · Communications for Statistical Applications and Methods · doi:10.5351/ckss.2002.9.1.249
Integrating petroleum-occurrence information into a basin-classification system
Bultman, M. W. (1990) · Antarctica A Keystone in a Changing World · doi:10.3133/ofr90477
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
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