FOURIER REPRESENTATIONS OF Pdf's ARISING IN CRYSTALLOGRAPHY.

George H. Weiss; Uri Shmueli

doi:10.6028/jres.090.051

FOURIER REPRESENTATIONS OF Pdf's ARISING IN CRYSTALLOGRAPHY.

George H. Weiss^*, Uri Shmueli

^*Corresponding author for this work

National Institutes of Health

Research output: Contribution to conference › Paper › peer-review

Abstract

A survey is given of some recent calculations of univariate and multivariate probability density functions (pdfs) of structure factors used to interpret crystallographic data. We have found that in the presence of sufficient atomic heterogeneity the frequently used approximation derived from the central limit theorem in the form of Edgeworth or Gram-Charlier series can be quite unreliable, and in these cases the more exact, but lenghier, Fourier calculations must be made.

Original language	English
DOIs	https://doi.org/10.6028/jres.090.051
State	Published - 1985
Externally published	Yes
Event	Unknown conference - Gaitherburg, MD, USA Duration: 20 May 1985 → 22 May 1985

Conference

Conference	Unknown conference
City	Gaitherburg, MD, USA
Period	20/05/85 → 22/05/85

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10.6028/jres.090.051

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title = "FOURIER REPRESENTATIONS OF Pdf's ARISING IN CRYSTALLOGRAPHY.",

abstract = "A survey is given of some recent calculations of univariate and multivariate probability density functions (pdfs) of structure factors used to interpret crystallographic data. We have found that in the presence of sufficient atomic heterogeneity the frequently used approximation derived from the central limit theorem in the form of Edgeworth or Gram-Charlier series can be quite unreliable, and in these cases the more exact, but lenghier, Fourier calculations must be made.",

author = "Weiss, {George H.} and Uri Shmueli",

year = "1985",

doi = "10.6028/jres.090.051",

language = "אנגלית",

note = "Unknown conference ; Conference date: 20-05-1985 Through 22-05-1985",

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T1 - FOURIER REPRESENTATIONS OF Pdf's ARISING IN CRYSTALLOGRAPHY.

AU - Weiss, George H.

AU - Shmueli, Uri

PY - 1985

Y1 - 1985

N2 - A survey is given of some recent calculations of univariate and multivariate probability density functions (pdfs) of structure factors used to interpret crystallographic data. We have found that in the presence of sufficient atomic heterogeneity the frequently used approximation derived from the central limit theorem in the form of Edgeworth or Gram-Charlier series can be quite unreliable, and in these cases the more exact, but lenghier, Fourier calculations must be made.

AB - A survey is given of some recent calculations of univariate and multivariate probability density functions (pdfs) of structure factors used to interpret crystallographic data. We have found that in the presence of sufficient atomic heterogeneity the frequently used approximation derived from the central limit theorem in the form of Edgeworth or Gram-Charlier series can be quite unreliable, and in these cases the more exact, but lenghier, Fourier calculations must be made.

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U2 - 10.6028/jres.090.051

DO - 10.6028/jres.090.051

M3 - ???researchoutput.researchoutputtypes.contributiontoconference.paper???

AN - SCOPUS:0022147592

T2 - Unknown conference

Y2 - 20 May 1985 through 22 May 1985

ER -

FOURIER REPRESENTATIONS OF Pdf's ARISING IN CRYSTALLOGRAPHY.

Abstract

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