Document Type

Thesis - Open Access

Award Date

2017

Degree Name

Master of Science (MS)

Department / School

Mathematics and Statistics

First Advisor

Christopher P. Saunders

Keywords

Forensic Science, Handwriting, Sufficiency Studies, U-Processes, U-Statistics

Abstract

One of the main metrics for deciding if a given forensic modality is useful across a broad spectrum of cases, within a given population, is the Random Match Probability (RMP), or the corresponding discriminating power. Traditionally, the RMP of a given modality is studied by comparing full `templates' and estimating the rate at which pairs of templates 'match' in a given population. This strategy leads to a natural U-statistic of degree two. However, in questioned document examination, the RMP is studied as a function of the amount of handwriting contained in the two documents being compared; turning the U-statistic into a U-process. This work is focused on providing background on forensic sufficiency studies, RMP, and the U-processes that naturally arise in this class of problems.

Library of Congress Subject Headings

U-statistics.
Forensic sciences.
Writing -- Identification.
Graphology.

Description

Includes bibliographical references (pages 64-67)

Format

application/pdf

Number of Pages

82

Publisher

South Dakota State University

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Rights Statement

In Copyright