@article{ffefc1f60d4240f49ff86746798f6dc4,
title = "A Lower Bound on the Complexity of Testing Grained Distributions",
abstract = "For a natural number m , a distribution is called m -grained, if each element appears with probability that is an integer multiple of 1 / m . We prove that, for any constant c< 1 , testing whether a distribution over [Θ (m)] is m -grained requires Ω (mc) samples, where testing a property of distributions means distinguishing between distributions that have the property and distributions that are far (in total variation distance) from any distribution that has the property.",
keywords = "68Q25, Property testing, distributions",
author = "Oded Goldreich and Dana Ron",
note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",
year = "2023",
month = dec,
doi = "10.1007/s00037-023-00245-w",
language = "אנגלית",
volume = "32",
journal = "Computational Complexity",
issn = "1016-3328",
publisher = "Birkhauser Verlag Basel",
number = "2",
}