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Uncertainty theory is a branch of mathematics for modeling uncertainty in human reasoning, and uncertain statistics is a methodology for collecting and interpreting experts’ experimental data by uncertainty theory. In this paper, we will first discuss how to collect experts’ data. We apply this method to a model for estimating the distance between Beijing and Tianjin. Based on the experts’ experimental data, B-spline method is used to estimate the empirical uncertainty distribution. Finally, a numerical example is given. c⃝2012 World Academic Press, UK. All rights reserved.