Analysis of structural and correlative contributions by correlated variables in polynomial output

Danqing Wu; Zhenzhou Lyu; Jixiang Hu

doi:10.11887/j.cn.201405005

Analysis of structural and correlative contributions by correlated variables in polynomial output

Danqing Wu, Zhenzhou Lyu, Jixiang Hu

School of Aeronautics

Northwestern Polytechnical University Xian

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Based on the example of the quadratic polynomial without cross terms outputs, the structural and correlative contributions of the correlated normal input variables were derived out, which had impact on the variance contributions of output response variables. Numerical results of several examples validate the correctness of analytical solutions. Comparing the presented indices with the existent indices, some general conclusions were drawn from the structural contributions and the correlative contributions, and the differences between them were identified. The proposed analytical solutions can be directly used to identify the structural contributions and the correlative contributions of the quadratic polynomial without cross terms, which offer a reference to other numerical algorithms.

Original language	English
Pages (from-to)	26-32
Number of pages	7
Journal	Guofang Keji Daxue Xuebao/Journal of National University of Defense Technology
Volume	36
Issue number	5
DOIs	https://doi.org/10.11887/j.cn.201405005
State	Published - 1 Oct 2014

Keywords

Analytical solution
Correlative contribution
Quadratic polynomial without cross terms
Structural contribution

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10.11887/j.cn.201405005

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AU - Wu, Danqing

AU - Lyu, Zhenzhou

AU - Hu, Jixiang

PY - 2014/10/1

Y1 - 2014/10/1

N2 - Based on the example of the quadratic polynomial without cross terms outputs, the structural and correlative contributions of the correlated normal input variables were derived out, which had impact on the variance contributions of output response variables. Numerical results of several examples validate the correctness of analytical solutions. Comparing the presented indices with the existent indices, some general conclusions were drawn from the structural contributions and the correlative contributions, and the differences between them were identified. The proposed analytical solutions can be directly used to identify the structural contributions and the correlative contributions of the quadratic polynomial without cross terms, which offer a reference to other numerical algorithms.

AB - Based on the example of the quadratic polynomial without cross terms outputs, the structural and correlative contributions of the correlated normal input variables were derived out, which had impact on the variance contributions of output response variables. Numerical results of several examples validate the correctness of analytical solutions. Comparing the presented indices with the existent indices, some general conclusions were drawn from the structural contributions and the correlative contributions, and the differences between them were identified. The proposed analytical solutions can be directly used to identify the structural contributions and the correlative contributions of the quadratic polynomial without cross terms, which offer a reference to other numerical algorithms.

KW - Analytical solution

KW - Correlative contribution

KW - Quadratic polynomial without cross terms

KW - Structural contribution

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JO - Guofang Keji Daxue Xuebao/Journal of National University of Defense Technology

JF - Guofang Keji Daxue Xuebao/Journal of National University of Defense Technology

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ER -

Analysis of structural and correlative contributions by correlated variables in polynomial output

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Keywords

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