Abstract
The object of this note is to point out and discuss a simple transformation2 of an absolutely continuous k-variate distribution F(xi, …, x k ) into the uniform distribution on the k-dimensional hypercube. A discussion of related transformations has been given by P. Lévy [1].
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References
P. Levy, Théorie de l’Addition des Variables Aléatoires, Gauthier-Villars, Paris, 1937, pp. 71–73, 121–123.
Paul. B. Simpson, ”Note on the estimation of a bivariate distribution function,” Annals of Math. Stat., Vol. 22 (1951), pp. 476–478.
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Davis, R.A., Lii, KS., Politis, D.N. (2011). Remarks on a Multivariate Transformation. In: Davis, R., Lii, KS., Politis, D. (eds) Selected Works of Murray Rosenblatt. Selected Works in Probability and Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8339-8_8
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