@article{0d81718a24ce45c8a9147c61f8e15fc2,
title = "A characterization of normality via convex likelihood ratios",
abstract = "This work includes a new characterization of the multivariate normal distribution. In particular, it is shown that a positive density function f is Gaussian if and only if the f(x+y)/f(x) is convex in x for every y. This result has implications to recent research regarding inadmissibility of a test studied by Moran (1973).",
keywords = "Characterization of probability distributions, Convex likelihood ratio, Gaussian, Multivariate normal",
author = "Royi Jacobovic and Offer Kella",
note = "Publisher Copyright: {\textcopyright} 2022 Elsevier B.V.",
year = "2022",
month = jul,
doi = "10.1016/j.spl.2022.109455",
language = "אנגלית",
volume = "186",
journal = "Statistics and Probability Letters",
issn = "0167-7152",
publisher = "Elsevier B.V.",
}