A Test of the Mean Square Error Criterion for Restrictions in Linear Regression

1968 ◽  
Vol 63 (322) ◽  
pp. 558 ◽  
Author(s):  
Carlos Toro-Vizcarrondo ◽  
T. D. Wallace
Keyword(s):  
Linear Regression ◽  
Mean Square Error ◽  
Mean Square ◽  
Error Criterion ◽  
The Mean ◽  
Mean Square Error Criterion

Performance analysis of global local mean square error criterion of stochastic linearization for nonlinear oscillator

2019 ◽  
Author(s):  
Nguyen Cao Thang ◽  
Luu Xuan Hung
Keyword(s):  
Performance Analysis ◽  
Mean Square Error ◽  
Nonlinear Oscillators ◽  
Degree Of Freedom ◽  
Equivalent Linearization ◽  
Mean Square ◽  
Error Criterion ◽  
Stochastic Linearization ◽  
Local Mean ◽  
Mean Square Error Criterion

The paper presents a performance analysis of global-local mean square error criterion of stochastic linearization for some nonlinear oscillators. This criterion of stochastic linearization for nonlinear oscillators bases on dual conception to the local mean square error criterion (LOMSEC). The algorithm is generally built to multi degree of freedom (MDOF) nonlinear oscillators. Then, the performance analysis is carried out for two applications which comprise a rolling ship oscillation and two degree of freedom one. The improvement on accuracy of the proposed criterion has been shown in comparison with the conventional Gaussian equivalent linearization (GEL).

scholarly journals Comparing plastic syringes and disposable columns to extract n-alkanes in forage and concentrate feeds

2010 ◽  
Vol 40 (8) ◽  
pp. 1844-1847 ◽  
Author(s):  
Dimas Estrasulas de Oliveira ◽  
Luis Orlindo Tedeschi
Keyword(s):  
Gas Chromatography ◽  
Linear Regression ◽  
Mean Square Error ◽  
Carbon Chain ◽  
Carbon Chain Length ◽  
Square Root ◽  
Mean Square ◽  
Alternative Material ◽  
The Mean ◽  
Disposable Plastic

Saturated aliphatic hydrocarbons (n-alkanes) were extracted from feed, orts, and bovine fecal samples using disposable, plastic 5mL-syringes as an alternative material to disposable columns, which are normally used in the liquid-solid extraction phase of n-alkanes. For both methods, the n-alkane extracts (carbon chain length between 31 and 36 atoms) were identified using gas chromatography. The linear regression between methods were: 1) feces: column Alkane=2.63+0.92×syringeAlkane [r²=0.94, square root of the mean square error (RMSE)=13.7mg kg-1, n=30] from which the intercept and the slope did not simultaneously differ from zero and unity (P>0.05), respectively; 2) feeds: column Alkane=0.36+1.12×syringeAlkane (r²=0.85, RMSE=1.9mg kg-1, n=21) from which the intercept and the slope did not simultaneously differ from zero and unity (P>0.05), respectively; 3) orts: column Alkane=0.49+0.92×syringeAlkane (r²=0.98, RMSE=1.2mg kg-1, n=15) from which the intercept and the slope did not simultaneously differ from zero and unity (P>0.05), respectively. Materials with low concentration of n-alkanes may affect the values obtained in both methods. These results suggested that disposable plastic syringes might be a viable alternative to columns thus, reducing analytical costs.

The estimation of knock-points of fuels by a weighted mean square error criterion

Fuel ◽  
2006 ◽  
Vol 85 (12-13) ◽  
pp. 1880-1893 ◽  
Author(s):  
R COETZER ◽  
R ROSSOUW ◽  
A SWARTS ◽  
C VILJOEN
Keyword(s):  
Mean Square Error ◽  
Mean Square ◽  
Weighted Mean ◽  
Error Criterion ◽  
Mean Square Error Criterion
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