Abstract
The similarity degree between the expectation of two random intervals is studied by means of a hypothesis testing procedure. For this purpose, a similarity measure for intervals is introduced based on the so-called Jaccard index for convex sets. The measure ranges from 0 (if both intervals are not similar at all, i.e., if they are not overlapped) to 1 (if both intervals are equal). A test statistic is proposed and its limit distribution is analyzed by considering asymptotic and bootstrap techniques. Some simulation studies are carried out to examine the behaviour of the approach.
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Acknowledgments
The research in this paper is partially supported by the Spanish National Grant MTM2013-44212-P, and the Regional Grant FC-15-GRUPIN-14-005. Their financial support is gratefully acknowledged.
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Ramos-Guajardo, A.B., Blanco-Fernández, Á. (2017). Two-Sample Similarity Test for the Expected Value of Random Intervals. In: Ferraro, M., et al. Soft Methods for Data Science. SMPS 2016. Advances in Intelligent Systems and Computing, vol 456. Springer, Cham. https://doi.org/10.1007/978-3-319-42972-4_52
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DOI: https://doi.org/10.1007/978-3-319-42972-4_52
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