Maximum likelihood estimation of the size distribution of liver cell nuclei from the observed distribution in a plane section.

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Standard

Maximum likelihood estimation of the size distribution of liver cell nuclei from the observed distribution in a plane section. / Keiding, Niels; Jensen, Søren Tolver; Ranek, Leo.

I: Biometrics, Bind 28, Nr. 3, 09.1972, s. 813-829.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Keiding, N, Jensen, ST & Ranek, L 1972, 'Maximum likelihood estimation of the size distribution of liver cell nuclei from the observed distribution in a plane section.', Biometrics, bind 28, nr. 3, s. 813-829. https://doi.org/10.2307/2528765

APA

Keiding, N., Jensen, S. T., & Ranek, L. (1972). Maximum likelihood estimation of the size distribution of liver cell nuclei from the observed distribution in a plane section. Biometrics, 28(3), 813-829. https://doi.org/10.2307/2528765

Vancouver

Keiding N, Jensen ST, Ranek L. Maximum likelihood estimation of the size distribution of liver cell nuclei from the observed distribution in a plane section. Biometrics. 1972 sep.;28(3):813-829. https://doi.org/10.2307/2528765

Author

Keiding, Niels ; Jensen, Søren Tolver ; Ranek, Leo. / Maximum likelihood estimation of the size distribution of liver cell nuclei from the observed distribution in a plane section. I: Biometrics. 1972 ; Bind 28, Nr. 3. s. 813-829.

Bibtex

@article{8ccbc616073546c98ce31ed624a18caf,
title = "Maximum likelihood estimation of the size distribution of liver cell nuclei from the observed distribution in a plane section.",
abstract = " From sections of liver biopsies, the distribution of the radii of sectioned nuclei is recorded. Under the assumption that the nuclei are spherical, the problem of inferring the real size distribution of the nuclei in the liver from the observed distribution of the profile radii in the section is studied. This is an example of the 'corpuscle problem' first studied by Wicksell. A parametric model for the distribution of the nucleus radii is proposed and ordinary maximum likelihood estimation is discussed. The small sections are clearly under-represented in the profile distribution. This problem which seems to be common in like situations, is here approached by the idea that the unrecorded nucleus sections come from nuclei whose angle of intersection with the microtome is less than some fixed angle p. It is also possible to estimate p and to test the important hypothesis that p = 27r, i.e. that the nucleus size distribution is directly observed in the section. The theory is supplemented by detailed numerical investigations.",
author = "Niels Keiding and Jensen, {S{\o}ren Tolver} and Leo Ranek",
year = "1972",
month = sep,
doi = "10.2307/2528765",
language = "English",
volume = "28",
pages = "813--829",
journal = "Biometrics",
issn = "0006-341X",
publisher = "Wiley-Blackwell",
number = "3",

}

RIS

TY - JOUR

T1 - Maximum likelihood estimation of the size distribution of liver cell nuclei from the observed distribution in a plane section.

AU - Keiding, Niels

AU - Jensen, Søren Tolver

AU - Ranek, Leo

PY - 1972/9

Y1 - 1972/9

N2 - From sections of liver biopsies, the distribution of the radii of sectioned nuclei is recorded. Under the assumption that the nuclei are spherical, the problem of inferring the real size distribution of the nuclei in the liver from the observed distribution of the profile radii in the section is studied. This is an example of the 'corpuscle problem' first studied by Wicksell. A parametric model for the distribution of the nucleus radii is proposed and ordinary maximum likelihood estimation is discussed. The small sections are clearly under-represented in the profile distribution. This problem which seems to be common in like situations, is here approached by the idea that the unrecorded nucleus sections come from nuclei whose angle of intersection with the microtome is less than some fixed angle p. It is also possible to estimate p and to test the important hypothesis that p = 27r, i.e. that the nucleus size distribution is directly observed in the section. The theory is supplemented by detailed numerical investigations.

AB - From sections of liver biopsies, the distribution of the radii of sectioned nuclei is recorded. Under the assumption that the nuclei are spherical, the problem of inferring the real size distribution of the nuclei in the liver from the observed distribution of the profile radii in the section is studied. This is an example of the 'corpuscle problem' first studied by Wicksell. A parametric model for the distribution of the nucleus radii is proposed and ordinary maximum likelihood estimation is discussed. The small sections are clearly under-represented in the profile distribution. This problem which seems to be common in like situations, is here approached by the idea that the unrecorded nucleus sections come from nuclei whose angle of intersection with the microtome is less than some fixed angle p. It is also possible to estimate p and to test the important hypothesis that p = 27r, i.e. that the nucleus size distribution is directly observed in the section. The theory is supplemented by detailed numerical investigations.

UR - http://www.scopus.com/inward/record.url?scp=0015395598&partnerID=8YFLogxK

U2 - 10.2307/2528765

DO - 10.2307/2528765

M3 - Journal article

C2 - 5073254

AN - SCOPUS:0015395598

VL - 28

SP - 813

EP - 829

JO - Biometrics

JF - Biometrics

SN - 0006-341X

IS - 3

ER -

ID: 202486760