Is a Transformed Low Discrepancy Design Also Low Discrepancy

@article{Li2020IsAT,
title={Is a Transformed Low Discrepancy Design Also Low Discrepancy},
author={Yiou Li and Lulu Kang and F. J. Hickernell},
journal={arXiv: Computation},
year={2020},
pages={69-92}
}

Experimental designs intended to match arbitrary target distributions are typically constructed via a variable transformation of a uniform experimental design. The inverse distribution function is one such transformation. The discrepancy is a measure of how well the empirical distribution of any design matches its target distribution. This chapter addresses the question of whether a variable transformation of a low discrepancy uniform design yields a low discrepancy design for the desiredâ€¦Â Expand