Let X0,...,Xl be independent standard Gaussian vectors in ℝd such that l ≤ d. An explicit formula is obtained for the distribution of the volume of a weighted Gaussian simplex without origin, which is an l-dimensional simplex conv(σ0X0,..., σlXl) (σ0,..., σl > 0).
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 495, 2020, pp. 187–197.
Translated by the author.
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Moseeva, T.D. Distribution of the Volume of Weighted Gaussian Simplex. J Math Sci 268, 649–655 (2022). https://doi.org/10.1007/s10958-022-06235-7
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DOI: https://doi.org/10.1007/s10958-022-06235-7