scispace - formally typeset
Journal ArticleDOI

On the distribution of points in a cube and the approximate evaluation of integrals

I. M. Sobol
- 01 Jan 1967 - 
- Vol. 7, Iss: 4, pp 86-112
About
This article is published in Ussr Computational Mathematics and Mathematical Physics.The article was published on 1967-01-01. It has received 2372 citations till now. The article focuses on the topics: Distribution (number theory) & Order of integration (calculus).

read more

Citations
More filters
Journal ArticleDOI

The design and analysis of computer experiments

TL;DR: This paper presents a meta-modelling framework for estimating Output from Computer Experiments-Predicting Output from Training Data and Criteria Based Designs for computer Experiments.
Report SeriesDOI

Handbook on Constructing Composite Indicators: Methodology and User Guide

TL;DR: In this paper, the authors present a handbook for constructing and using composite indicators for policy makers, academics, the media and other interested parties, which is concerned with those which compare and rank country performance in areas such as industrial competitiveness, sustainable development, globalisation and innovation.
Journal ArticleDOI

Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index

TL;DR: Existing and new practices for sensitivity analysis of model output are compared and recommendations on which to use are offered to help practitioners choose which techniques to use.
Journal ArticleDOI

Importance measures in global sensitivity analysis of nonlinear models

TL;DR: In this paper, a new method of global sensitivity analysis of nonlinear models is proposed based on a measure of importance to calculate the fractional contribution of the input parameters to the variance of the model prediction.

Reliability Engineering and System Safety

Sharif Rahman
TL;DR: In this paper, a polynomial dimensional decomposition (PDD) method for global sensitivity analysis of stochastic systems subject to independent random input following arbitrary probability distributions is presented.
References
More filters
Journal ArticleDOI

On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals

TL;DR: In this paper, the efficiency of such an integration formula can be measured by considering how it fares when the indicator function of the hyperbrick is defined by an arbitrary point in the unit hypercube.
Journal ArticleDOI

On irregularities of distribution

K. F. Roth
- 01 Jun 1954 - 
TL;DR: In this article van der Corput, in connection with his work on distribution functions, was led to the following conjecture which expresses the fact that no sequence can, in a certain sense, be too evenly distributed.
Related Papers (5)