Estimating Variance Under Interval and Fuzzy Uncertainty: Case of Hierarchical Estimation

Authors:
Gang Xiang;Vladik Kreinovich
Affiliations:
Department of Computer Science, University of Texas at El Paso, El Paso, TX 79968, USA;Department of Computer Science, University of Texas at El Paso, El Paso, TX 79968, USA
Venue:
IFSA '07 Proceedings of the 12th international Fuzzy Systems Association world congress on Foundations of Fuzzy Logic and Soft Computing
Year:
2007

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Abstract

Computing statistics is important.Traditional data processing in science and engineering starts with computing the basic statistical characteristics such as the population mean and population variance:$$E=\displaystyle\frac{1}{n}\cdot \sum\limits_{i=1}^n x_i\ \ V=\displaystyle\frac{1}{n}\cdot \sum\limits_{i=1}^n (x_i-E)^2.$$