On sequences of expected maxima and expected ranges
classification
📊 stat.ME
keywords
expectedmaximarangesbernsteinorderrepresentationsequencevy-khintchine
read the original abstract
We investigate conditions in order to decide whether a given sequence of real numbers represents expected maxima or expected ranges. The main result provides a novel necessary and sufficient condition, relating an expected maxima sequence to a translation of a Bernstein function through its L\'{e}vy-Khintchine representation. Key words and phrases: expected maxima; expected ranges; Bernstein functions, L\'{e}vy-Khintchine representation, order statistics.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.