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Short Technical Notes

(Un)Conditional Sample Generation Based on Distribution Element Trees

Pages 940-946
Received 01 Jan 2018
Accepted author version posted online: 08 Jun 2018
Published online: 17 Oct 2018
 
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ABSTRACT

Recently, distribution element trees (DETs) were introduced as an accurate and computationally efficient method for density estimation. In this work, we demonstrate that the DET formulation promotes an easy and inexpensive way to generate random samples similar to a smooth bootstrap. These samples can be generated unconditionally, but also, without further complications, conditionally using available information about certain probability-space components. This article is accompanied by the R codes that were used to produce all simulation results. Supplementary material for this article is available online.

Supplementary Materials

The following R scripts are contained in the supplementary package detrnd_test.zip:

detrnd_test_1.R script for the trivariate Gaussian case discussed in Section 3.1

detrnd_test_2.R script for the bivariate Dirichlet case discussed in Section 3.2

detrnd_test_3.R script for the four-dimensional copula case discussed in Section 3.3

Acknowledgments

The author gratefully acknowledges financial support by ETH Zürich. Moreover, he is thankful to Timon Rüesch for his help during the preparation-phase of the R implementation.

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