Sobol' sensitivity indices allow to quantify the respective effects of random input variables and their combinations on variance mathematical model output. We focus problem estimation via a metamodeling approach where we replace true with sample-based approximation compute indices. propose new method for quality control obtain asymptotic non-asymptotic risk bounds estimates based general class ...

introduction: average glandular dose calculation in mammography with mo-rh target-filter and dose calculation for different situations is accurate and fast. material and methods: in this research, first of all, x-ray spectra of a mo target bombarded by a 28 kev electron beam with and without a rh filter were calculated using the mcnp code. then, we used the sobol-wu parameters to write a fortra...

Sensitivity analysis studies how the variation in model outputs can be due to different sources of variation. This issue is addressed, in this study, as an applicationof sensitivity analysis techniques to a cropmodel in the Mediterranean region. In particular, an application of Morris and Sobol’ sensitivity analysis methods to the ricemodelWARM is presented. The output considered is aboveground...

Sensitivity analysis is a fundamental approach to identify the most significant and sensitive parameters, helping us to understand complex hydrological models, particularly for time-consuming distributed flood forecasting models based on complicated theory with numerous parameters. Based on Sobol’ method, this study compared the sensitivity and interactions of distributed flood forecasting mode...

A global sensitivity analysis of a lake ecosystem model (GOTM-FABM-PCLake) was undertaken to test the impacts morphology on parameter in three different lakes. The facilitated by Parallel Sensitivity and Auto-Calibration tool (parsac) included screening step with density-based Borgonovo's method followed in-depth both variance-based Sobol’ methods. proved efficient ranking most influential para...

We study quasi–Monte Carlo algorithms based on low discrepancy sequences for multivariate integration. We consider the problem of how the minimal number of function evaluations needed to reduce the worst-case error from its initial error by a factor of ε depends on ε−1 and the dimension s. Strong tractability means that it does not depend on s and is bounded by a polynomial in ε−1. The least po...

Introduction 1 1. Definition and estimation of Sobol indices 2 1.1. Exact model 2 1.2. Estimation of S 3 2. Asymptotic properties: exact model 4 2.1. Consistency and asymptotic normality 4 2.2. Asymptotic efficiency 6 3. Asymptotic properties: metamodel 8 3.1. Metamodel-based estimation 8 3.2. Consistency and asymptotic normality 8 3.3. Asymptotic efficiency 11 4. Numerical illustrations 12 4.1...

introduction: to write a computational program to calculate the average glandular dose in mammography with rh-rh target-filter and also use it as an accurate and fast method of dose calculation founder different situations. materials and methods: in this research, the sobol-wu parameters are used to write a fortran code for glandular dose calculation in rh-rh target-filter mammograms. the code ...