Some contributions to efficient statistics in structural models: Specification and estimation of moment structures
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Publication:789863
DOI10.1007/BF02293875zbMath0533.62091OpenAlexW2057237814MaRDI QIDQ789863
Publication date: 1983
Published in: Psychometrika (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02293875
kurtosiselliptical distributionsasymptotically distribution freeerrors in variablesgeneralized least squaresstructural modelscovariance structureshigher order product momentslimited information estimatorsminimum chi squaremoment structuresmultivariate normal theorystructural representations
Factor analysis and principal components; correspondence analysis (62H25) Nonparametric estimation (62G05) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Applications of statistics to psychology (62P15)
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Cites Work
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- Contributions to a general asymptotic statistical theory. With the assistance of W. Wefelmeyer
- Some comments on maximum likelihood and partial least squares methods
- Least-squares theory based on general distributional assumptions with an application to the incomplete observations problem
- A study of algorithms for covariance structure analysis with specific comparisons using factor analysis
- Minimum chi-square, not maximum likelihood!
- Consistent moment estimators of regression coefficients in the presence of errors in variables
- Asymptotic efficiency of statistical estimators: concepts and higher order asymptotic efficiency
- On the theory of elliptically contoured distributions
- Factor analysis by instrumental variables methods
- Asymptotic distributions of functions of the eigenvalues of some random matrices for nonnormal populations
- Detection of multivariate normal outliers
- Matrix derivatives with chain rule and rules for simple, Hadamard, and Kronecker products
- Structural analysis of covariance and correlation matrices
- Testing for ellipsoidal symmetry of a multivariate density
- Quasi-likelihood functions
- Linear structural equations with latent variables
- Factor analysis by generalized least squares
- Further results on asymptotic normality. I
- Maximum likelihood estimation and large-sample inference for generalized linear and nonlinear regression models
- A Method of Generating Best Asymptotically Normal Estimates with Application to the Estimation of Bacterial Densities
- The decomposition of multitrait-multimethod matrices
- Asymptotic distributions in canonical correlation analysis and other multivariate procedures for nonnormal populations
- Elliptically Symmetric Distributions: A Review and Bibliography
- Chi-square tests for multivariate normality with application to common stock prices
- The asymptotic distribution of elements of a correlation matrix: Theory and application
- A statistical development of three-mode factor analysis
- The Iterated Minimum Distance Estimator and the Quasi-Maximum Likelihood Estimator
- A simple comprehensive model for the analysis of covariance structures
- Efficient Estimation of Simultaneous Equation Systems
- Nonlinear Least Squares Estimation
- Measures of multivariate skewness and kurtosis with applications
- Linear Statistical Inference and its Applications
- Identifiability of a Linear Relation between Variables Which Are Subject to Error
- BI-VARIATE k-STATISTICS AND CUMULANTS OF THEIR JOINT SAMPLING DISTRIBUTION
- Tests of Statistical Hypotheses Concerning Several Parameters When the Number of Observations is Large
