Persistently unbounded probability densities

© 2016 Elsevier B.V. The paper provides examples of how to construct probability densities whose convolution powers are all unbounded. This persistent form of unboundedness is related to a premise in a well-known local central limit theorem.publisher: Elsevier articletitle: Persistently unbounded probability densities journaltitle: Statistics & Probability Letters articlelink: http://dx.doi.org/10.1016/j.spl.2016.06.021 content_type: article copyright: © 2016 Elsevier B.V. All rights reserved.status: publishe