Sensitivity to correlation in multivariate models

• Autorzy: Žanic V. , Žiha K.
• Konferencja: International Conference on Numerical Mathematics and Computational Mechanics (7 ; July 1996 ; Miskolc ; Węgry)
• Języki publikacji: EN

Abstrakty

EN

The paper presents some aspects of the sensitivity analysis within the multivariate distribution models. The presented procedures are provided for engineering problems based on the Nataf model. The Nataf model involves the marginal distributions of the random variables and the correlation between them. Sensitivities are considered through derivatives with respect to the correlation coeffcients. The terms for the derivatives of the Nataf correlation coefficiens with respect to the given correlation coefficients are presented. The derivatives of the transformations between the random variables are given nex. The Cholesky decomposition and the spectral decomposition are applied. Derivatives of the Cholesky decomposition are obtained in the form of a recursive scheme. Dervatives of the eigenvalues and eigenvectors are obtained using perturbations. In addition, a comprehensive method for derivatives of distances and derivatives of angles between the directions is given. Finally, numerical examples are attached to illustrate the presented procedures.

Słowa kluczowe

EN

multivariate model; sensitivity analysis

PL

model wielowymiarowy; analiza wrażliwości

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 1998
• Tom: Vol. 5, nr 1
• Strony: 75--84
• Opis fizyczny: Bibliogr. 5 poz., tab.

Twórcy

autor

Žanic V.

autor

Žiha K.

• University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Ivana Lučića 5, 10000 Zagreb, Croatia