Title
Towards Combining Probabilistic and Interval Uncertainty in Engineering Calculations: Algorithms for Computing Statistics under Interval Uncertainty, and Their Computational Complexity.
Abstract
In many engineering applications, we have to combine probabilistic and interval uncertainty. For example, in environmental analysis, we observe a pollution level x(t) in a lake at difierent moments of time t, and we would like to estimate standard statistical characteristics such as mean, variance, autocorrelation, corre- lation with other measurements. In environmental measurements, we often only measure the values with interval uncertainty. We must therefore modify the existing statistical algorithms to process such interval data. In this paper, we provide a survey of algorithms for computing various statistics under interval uncertainty and their computational complexity. The survey includes both known and new algorithms.
Year
DOI
Venue
2006
10.1007/s11155-006-9015-4
Reliable Computing
Keywords
Field
DocType
computational complexity,environmental analysis
Measuring instrument,Mathematical optimization,Sensitivity analysis,Algorithm,Uncertainty analysis,Probabilistic logic,Confidence interval,Statistics,Interval arithmetic,Mathematics,Computational complexity theory,Autocorrelation
Journal
Volume
Issue
ISSN
12
6
1573-1340
Citations 
PageRank 
References 
15
1.54
18
Authors
11
Name
Order
Citations
PageRank
Vladik Kreinovich11091281.07
Gang Xiang27711.18
Scott A. Starks36112.76
Luc Longpré424530.26
Martine Ceberio58120.65
Roberto Araiza6324.64
Jan Beck7324.37
Raj Kandathi8151.54
Asis Nayak9151.54
Roberto Torres1015914.30
Janos G. Hajagos11444.88