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Maximum Likelihood Estimators of Regression Coefficients for the Case of Autocorrelated Residuals

Technometrics, 1965
The classical linear regression model is extended to include the case in which the residuals are dependent with covariance matrix where A system of equations in the maximum likelihood estimators for the regression coefficients, a, and γ is derived and an iterative procedure for solving the system of equations is developed.
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Application of supernodal sparse factorization and inversion to the estimation of (co)variance components by residual maximum likelihood

Journal of Animal Breeding and Genetics, 2013
SummaryWe demonstrated that supernodal techniques were more efficient than traditional methods for factorization and inversion of a coefficient matrix of mixed model equations (MME), which are often required in residual maximum likelihood (REML). Supernodal left‐looking and inverse multifrontal algorithms were employed for sparse factorization and ...
Y, Masuda, T, Baba, M, Suzuki
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Maximum likelihood estimation for continuous-time autoregressive models by relaxation on residual variances ratio parameters

Mathematics of Control, Signals and Systems, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alain Le Breton, Dinh Tuan Pham
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Residual maximum likelihood (REML) methods for analysing hydrological data series

Journal of Hydrology, 1996
Abstract Much hydrological data can be displayed as two-way tables with observations classified (for example) by years (rows) and sites (columns), commonly with many missing entries; data classified by three factors or more (e.g. gauge sites within drainage basins; drainage basins; years) can also be put in this form.
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Coevolving protein residues: maximum likelihood identification and relationship to structure.

Journal of molecular biology, 1999
The identification of protein sites undergoing correlated evolution (coevolution) is of great interest due to the possibility that these pairs will tend to be adjacent in the three-dimensional structure. Identification of such pairs should provide useful information for understanding the evolutionary process, predicting the effects of site-directed ...
D D, Pollock, W R, Taylor, N, Goldman
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Some asymptotic results for the residual maximum likelihood estimation of the parameters of a spatial process

Communications in Statistics - Theory and Methods, 1994
Zhang and Stein (1993) gave a kernel approximation to the order m(m≥1) universal kriging predictor in two dimensions under an order mintrinsic random function model. The two parameters involved in the model are the signal variance and the noise variance.
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Comparing traditional and digital soil mapping at a district scale using residual maximum likelihood analysis

Soil Research, 2018
Conventional soil mapping uses field morphological observations to classify soil profiles into predefined classification systems and extrapolates the classified soils to make a map based on aerial photographs and the experience of the surveyor. A criticism of this approach is that the subjectivity of the surveyor leads to non-reproducible maps ...
E. Zare   +5 more
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Estimating the spatial scale of herbicide and soil interactions by nested sampling, hierarchical analysis of variance and residual maximum likelihood

Environmental Pollution, 2009
An unbalanced nested sampling design was used to investigate the spatial scale of soil and herbicide interactions at the field scale. A hierarchical analysis of variance based on residual maximum likelihood (REML) was used to analyse the data and provide a first estimate of the variogram.
Oliver R, Price   +3 more
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Maximum likelihood estimation of a stochastic frontier model with residual covariance [PDF]

open access: possible, 2012
In theoretical literature on productivity, the disturbance terms of the stochastic frontier model are assumed to be independent random variables. In this paper, we consider a stochastic production frontier model with residuals that are both spatially and time-wise correlated.
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Residual Diagrams Based on a Remarkably Simple Result Concerning the Variances of Maximum Likelihood Estimators

Journal of Educational and Behavioral Statistics, 2002
A remarkably simple result concerning variances of maximum likelihood (ML) estimators is presented. This result allows for construction of residual diagrams to evaluate whether ML estimators derived from independent samples can be assumed to be equal apart from random errors.
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