On sequences of expected maxima and expected ranges
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\'evy-Khintchine representation. Key words and phrases: expected maxima; expected ranges; Bernstein functions, L\'evy-Khintchine representation, order statistics.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.