Date of Award

Spring 2026

Document Type

Distinction Paper

Degree Name

Mathematics-BS

Department

Mathematical Sciences

Advisor

Kirk Kayser

First Committee Member

Steffanie Burk

Second Committee Member

Ryan Berndt

Keywords

Record statistics, Record Wait Times, Expected Number of Records, Probability of Records, Undergraduate Mathematics

Subject Categories

Data Science | Higher Education | Other Applied Mathematics | Other Mathematics | Probability

Abstract

The Mathematical Theory of Records is a well-studied branch of mathematics. Many important results have been proven analytically, and this paper includes the most foundational distribution-free results with explanations intended to make the proofs of these results accessible to an undergraduate reader. Record Theory is also applicable to fields such as climatology and finance, and this paper discusses how Record Theory can be used to understand complex but highly relevant datasets, with the example of yearly maximum temperatures.

Licensing Permission

Copyright, all rights reserved. Fair Use

Acknowledgement 1

1

Acknowledgement 2

1

Download

Share

COinS