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Statistical mechanics of helical wormlike chains. XII. Multivariate distribution functions

The Journal of Chemical Physics, 1980
The multivariate distribution function of several vector distances each between two contour points for the helical wormlike chain is studied. General expressions for its moments are derived by a generalization of the operational method developed previously. The distribution function itself is constructed by the weighting function method on the basis of
Jiro Shimada, Hiromi Yamakawa
openaire   +1 more source

Multivariate statistical analysis of heavy metals distribution in benthic organisms

Toxicological & Environmental Chemistry, 1996
Abstract Data from chemical analysis of different groups of benthic organisms from the Black Sea are treated by the use of multivariate statistical approaches like cluster, factor and principle components analysis. The results obtained deliver new and complete information on the reaction of the organisms of the zoobenthos to heavy metal pollution and ...
S. Tsakovski   +3 more
openaire   +1 more source

Fisher's legacy of directional statistics, and beyond to statistics on manifolds

Journal of Multivariate Analysis
It will not be an exaggeration to say that R A Fisher is the Albert Einstein of Statistics. He pioneered almost all the main branches of statistics, but it is not as well known that he opened the area of Directional Statistics with his 1953 paper ...
K. Mardia
semanticscholar   +1 more source

Asymptotic Formulae for the Distribution of a Multivariate Test Statistic: Power Comparisons of Certain Multivariate Tests

Biometrika, 1971
(a) W=TI{1/(l+cj)}, (b) T-=n nc3, (c) V=n n{cj/(l+cj)}. The test (a) is the likelihood ratio criterion (Wilks, 1932). Bartlett (1939) proposed (b) and (c) as reasonable alternatives to (a) for testing the general linear hypothesis. The test (b) was studied by Hotelling (1947, 1951) and (c) has been studied intensively by Pillai (1964, 1966). Asymptotic
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Household budget-share distributions and welfare implications: an application of multivariate distributional statistics

Journal of Applied Statistics, 2015
In this paper the consequences of considering the household ‘food share’ distribution as a welfare measure, in isolation from the joint distribution of itemized budget shares, is examined through the unconditional and conditional distribution of ‘food share’ both parametrically and nonparametrically.
Racine, Jeffrey S.   +2 more
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On characterization of multivariate stable distributions via random linear statistics

Journal of Theoretical Probability, 1995
A random linear statistic \(U\) is a linear combination of \(n\) nondegenerate, independent and identically distributed \(d\times 1\) random vectors \(X_ i\), \(i=1,\dots, n\), when the coefficients form an \(n\times 1\) random vector \(Y\) independent of the \(X_ i\)'s.
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On the multivariate distributions of order statistics of discrete-state processes

[Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing, 1991
The authors consider the problem of determining the multivariable joint probability distributions of the order statistics of discrete-state processes whose elements are independent and identically distributed. Two methods, the indirect and direct methods, are presented and compared in terms of their inherent computational complexity. Recursive formulae
D.M. Raymond, M.M. Fahmy
openaire   +1 more source

Applying multivariate statistics for identification of groundwater chemistry and qualities in the Sugan Lake Basin, Northern Qinghai-Tibet Plateau, China

Journal of Mountain Science, 2020
Juan Xiang   +8 more
semanticscholar   +1 more source

Cancer treatment and survivorship statistics, 2022

Ca-A Cancer Journal for Clinicians, 2022
Kimberly D Miller   +2 more
exaly  

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