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IJAR
2006
103views more  IJAR 2006»
13 years 7 months ago
Computing mean and variance under Dempster-Shafer uncertainty: Towards faster algorithms
In many real-life situations, we only have partial information about the actual probability distribution. For example, under Dempster-Shafer uncertainty, we only know the masses m...
Vladik Kreinovich, Gang Xiang, Scott Ferson
CCA
2009
Springer
13 years 11 months ago
From Interval Computations to Constraint-Related Set Computations: Towards Faster Estimation of Statistics and ODEs under Interv
Interval computations estimate the uncertainty of the result of data processing in situations in which we only know the upper bounds ∆ on the measurement errors. In this case, ba...
Vladik Kreinovich
IFSA
2007
Springer
149views Fuzzy Logic» more  IFSA 2007»
14 years 1 months ago
From Interval Computations to Constraint-Related Set Computations: Towards Faster Estimation of Statistics and ODEs Under Interv
One of the important components of granular computing is interval computations. In interval computations, at each intermediate stage of the computation, we have intervals of possi...
Martine Ceberio, Vladik Kreinovich, Andrzej Pownuk...
RC
2007
148views more  RC 2007»
13 years 6 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
SAC
2006
ACM
14 years 1 months ago
Interval-based robust statistical techniques for non-negative convex functions, with application to timing analysis of computer
: In chip design, one of the main objectives is to decrease its clock cycle; however, the existing approaches to timing analysis under uncertainty are based on fundamentally restri...
Michael Orshansky, Wei-Shen Wang, Martine Ceberio,...