Journal ArticleDOI
TENSOR NOTATION AND THE SAMPLING CUMULANTS OF k-STATISTICS*
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This article is published in Biometrika.The article was published on 1952-12-01. It has received 66 citations till now. The article focuses on the topics: Sampling (statistics) & Ricci calculus.read more
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Tensor Methods in Statistics
TL;DR: In this article, the authors provide a systematic development of tensor methods in statistics, beginning with the study of multivariate moments and cumulants, and an examination of the effect of making a polynomial transformation of the original variables.
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The fitting of straight lines when both variables are subject to error
TL;DR: In this paper, the authors survey and comment on the solutions to the problem of obtaining consistent estimates of α and β from a sample of (x, y)s, when one makes various assumptions about properties of the errors and the true values other than those mentioned above, and when one has various kinds of "additional information" which aids in constructing these consistent estimates.
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Some contributions to efficient statistics in structural models: Specification and estimation of moment structures.
TL;DR: In this article, it is shown that higher order product moments yield important structural information when the distribution of variables is arbitrary, and some asymptotically distribution-free efficient estimators for such arbitrary structural models are developed.
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Simultaneous equation systems as moment structure models: With an introduction to latent variable models
TL;DR: In this article, the traditional econometric simultaneous equation system is reconceptualized as a random vector structural equation model and extended to deal with latent variables and a wider variety of structural phenomena via the Joreskog-Keesling-Wiley LISREL approach.
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Factor analysis for non-normal variables
TL;DR: In this paper, the main difference between our approach and more traditional approaches is that not only second order cross-products (like covariances) are utilized, but also higher order crossproducts.
References
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Journal ArticleDOI
Moments and Product Moments of Sampling Distributions
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The derivation of multivariate sampling formulae from univariate formulae by symbolic operation
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Sampling moments of moments for a finite population
J. O. Irwin,Maurice G. Kendall +1 more