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 was used to account for nondetectable samples in the analysis.
“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]
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- 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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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 ›
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