A Bayesian algorithm with second order autoregressive errors for B-WIM weight estimation

2022 ◽  
Vol 250 ◽  
pp. 113353
Author(s):  
Matheus Silva Gonçalves ◽  
Rafael Holdorf Lopez ◽  
Elder Oroski ◽  
Amir Mattar Valente
Keyword(s):  
Second Order ◽  
Weight Estimation ◽  
Bayesian Algorithm ◽  
Autoregressive Errors

scholarly journals Nonlinear models to predict nitrogen mineralization in an Oxisol

2005 ◽  
Vol 62 (4) ◽  
pp. 395-400 ◽  
Author(s):  
Janser Moura Pereira ◽  
Joel Augusto Muniz ◽  
Carlos Alberto Silva
Keyword(s):  
Nitrogen Mineralization ◽  
Soil Acidity ◽  
Least Squares Method ◽  
Nonlinear Models ◽  
Second Order ◽  
First Order ◽  
Parameter Estimations ◽  
Minas Gerais State ◽  
Autoregressive Errors ◽  
Procedure Model

This work was carried out to evaluate the statistical properties of eight nonlinear models used to predict nitrogen mineralization in soils of the Southern Minas Gerais State, Brazil. The parameter estimations for nonlinear models with and without structure of autoregressive errors was made by the least squares method. First, a structure of second order autoregressive errors, AR(2) was considered for all nonlinear models and then the significance of the autocorrelation parameters was verified. Among the models, the Juma presented an autocorrelation of second order, and the model of Broadbent presented one of first order. In summary, these models presented significant autocorrelation parameters. To estimate the parameters of nonlinear models, the SAS procedure MODEL was used (SAS). The comparison of the models was made by measuring the fitted parameters: adjusted R-square, mean square error and mean predicted error. The Juma model with AR(2) best fitted for nitrogen mineralization without liming, followed by Cabrera, Stanford & Smith without autoregressive errors, for both with and without soil acidity correction.

Disappearance Voltage Determinations Using a Convergent Beam

1971 ◽  
Vol 29 ◽  
pp. 184-185
Author(s):  
W. L. Bell
Keyword(s):  
Second Order ◽  
Objective Method ◽  
Uniform Thickness ◽  
Rocking Curve ◽  
Crystal Perfection ◽  
Kikuchi Line ◽  
Central Maximum ◽  
Diffraction Patterns ◽  
Convergent Beam ◽  
Beam Technique

Disappearance voltages for second order reflections can be determined experimentally in a variety of ways. The more subjective methods, such as Kikuchi line disappearance and bend contour imaging, involve comparing a series of diffraction patterns or micrographs taken at intervals throughout the disappearance range and selecting that voltage which gives the strongest disappearance effect. The estimated accuracies of these methods are both to within 10 kV, or about 2-4%, of the true disappearance voltage, which is quite sufficient for using these voltages in further calculations. However, it is the necessity of determining this information by comparisons of exposed plates rather than while operating the microscope that detracts from the immediate usefulness of these methods if there is reason to perform experiments at an unknown disappearance voltage.The convergent beam technique for determining the disappearance voltage has been found to be a highly objective method when it is applicable, i.e. when reasonable crystal perfection exists and an area of uniform thickness can be found. The criterion for determining this voltage is that the central maximum disappear from the rocking curve for the second order spot.

Second order interference in two photon absorption

1996 ◽  
Vol 43 (9) ◽  
pp. 1765-1771 ◽  
Author(s):  
M. W. HAMILTON and D. S. ELLIOTT
Keyword(s):  
Second Order ◽  
Photon Absorption ◽  
Two Photon Absorption ◽  
Two Photon
Sign in / Sign up

Export Citation Format

Share Document