@inbook{44582c48a9284d8da586eea247cee7ca,
title = "Why student distributions? Why matern{\textquoteright}s covariance model? a symmetry-based explanation",
abstract = "In this paper, we show that empirical successes of Student distribution and of Matern{\textquoteright}s covariance models can be indirectly explained by a natural requirement of scale invariance – that fundamental laws should not depend on the choice of physical units. Namely, while neither the Student distributions nor Matern{\textquoteright}s covariance models are themselves scale-invariant, they are the only one which can be obtained by applying a scale-invariant combination function to scale-invariant functions.",
author = "Stephen Sch{\"o}n and Gael Kermarrec and Boris Kargoll and Ingo Neumann and Olga Kosheleva and Vladik Kreinovich",
note = "Funding information: Acknowledgments. This work was performed when Olga Kosheleva and Vladik Kreinovich were visiting researchers with the Geodetic Institute of the Leibniz University of Hannover, a visit supported by the German Science Foundation. This work was also supported in part by NSF grant HRD-1242122.",
year = "2017",
month = dec,
day = "20",
doi = "10.1007/978-3-319-73150-6\_21",
language = "English",
series = "Studies in Computational Intelligence",
publisher = "Springer Verlag",
pages = "266--275",
booktitle = "Econometrics for Financial Applications",
address = "Germany",
}