Title

Limit laws of modulus trimmed sums

Date of Award

2001

Degree Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematics

Advisor(s)

Philip S. Griffin

Keywords

Limit laws, Modulus trimmed sums, Probability theory

Subject Categories

Mathematics | Physical Sciences and Mathematics

Abstract

Let [Special characters omitted.] be a sequence of independent and identically distributed random variables. Let [Special characters omitted.] be an arrangement of [Special characters omitted.] in decreasing order of magnitude, and set [Special characters omitted.] This is known as the modulus trimmed sum. We obtain a complete characterization of the class of limit laws of the normalized modulus trimmed sum when the underlying distribution is symmetric and [Special characters omitted.] .

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