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.] .
Access
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Recommended Citation
Qazi, Fozia Sanober, "Limit laws of modulus trimmed sums" (2001). Mathematics - Dissertations. 38.
https://surface.syr.edu/mat_etd/38
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