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RC
2007
83views more  RC 2007»
13 years 12 months ago
Computing the Pessimism of Inclusion Functions
Abstract. “Computing the pessimism” means bounding the overestimation produced by an inclusion function. There are two important distinctions with classical error analysis. Fir...
Gilles Chabert, Luc Jaulin
RC
2007
66views more  RC 2007»
13 years 12 months ago
Guaranteeing the Homotopy Type of a Set Defined by Non-Linear Inequalities
Nicolas Delanoue, Luc Jaulin, Bertrand Cottenceau
RC
2007
148views more  RC 2007»
13 years 12 months ago
Computing Population Variance and Entropy under Interval Uncertainty: Linear-Time Algorithms
In statistical analysis of measurement results, it is often necessary to compute the range [V , V ] of the population variance V = 1 n · n i=1 (xi −E)2 (where E = 1 n · n i=1 ...
Gang Xiang, Martine Ceberio, Vladik Kreinovich
RC
2007
78views more  RC 2007»
13 years 12 months ago
Monte-Carlo-Type Techniques for Processing Interval Uncertainty, and Their Potential Engineering Applications
Abstract. In engineering applications, we need to make decisions under uncertainty. Traditionally, in engineering, statistical methods are used, methods assuming that we know the p...
Vladik Kreinovich, Jan Beck, Carlos Ferregut, Arac...
RC
2007
64views more  RC 2007»
13 years 12 months ago
Unimodality, Independence Lead to NP-Hardness of Interval Probability Problems
In many real-life situations, we only have partial information about probabilities. This information is usually described by bounds on moments, on probabilities of certain events,...
Daniel Berleant, Olga Kosheleva, Vladik Kreinovich...
RC
2007
60views more  RC 2007»
13 years 12 months ago
Linear Systems with Large Uncertainties, with Applications to Truss Structures
Linear systems whose coefficients have large uncertainties arise routinely in finite element calculations for structures with uncertain geometry, material properties, or loads. Ho...
Arnold Neumaier, Andrzej Pownuk
RC
2007
113views more  RC 2007»
13 years 12 months ago
A Search Algorithm for Calculating Validated Reliability Bounds
The search algorithm presented allows the CDF of a dependent variable to be bounded with 100%confidence,andallowsforaguaranteedevaluationof theerror involved.Thesereliabilitybound...
Fulvio Tonon
RC
2007
78views more  RC 2007»
13 years 12 months ago
Exponential Stability of Interval Dynamical Systems with Quadratic Nonlinearity
This article proposes an approach for investigating the exponential stability of a nonlinear interval dynamical system with the nonlinearity of a quadratic type on the basis of the...
Ruslan S. Ivlev, Svetlana P. Sokolova
RC
2007
128views more  RC 2007»
13 years 12 months ago
Bounds on Generalized Linear Predictors with Incomplete Outcome Data
This paper develops easily computed, tight bounds on Generalized Linear Predictors and instrumental variable estimators when outcome data are partially identi…ed. A salient exam...
Jörg Stoye