Publications

June 1994
Article

Influence of Mathematical Models in Finance on Practice: Past, Present and Future

By: Robert C. Merton

Keywords: Mathematical Methods; Finance

2008
Conference Presentation

Analyzing and Using Data From Global Positioning Systems and Digital Imagery in Mathematics Courses

By: F. Wattenberg, K. Erickson, J. Helms, K. DeGregory and Hise O. Gibson

2007
Article

'One will make of Political Economy...what the Scholastics did with Philosophy': Henry Lloyd and the Mathematization of Economics

By: Sophus A. Reinert

Keywords: Government and Politics; Economy; Economics

March 2022 (Revised July 2022)
Technical Note

Linear Regression

By: Iavor I. Bojinov, Michael Parzen and Paul Hamilton

This note provides an overview of linear regression for an introductory data science course. It begins with a discussion of correlation, and explains why correlation does not necessarily imply causation. The note then describes the method of least squares, and how to... View Details

Keywords: Data Science; Linear Regression; Mathematical Modeling; Mathematical Methods; Analytics and Data Science

2010
Other Unpublished Work

Is High School the Right Time to Teach Self-control? The Effect of Financial Education and Mathematics Courses on Savings Behavior

By: Shawn A. Cole and Gauri Kartini Shastry

Household financial behavior affects household welfare and the economy at large. Yet our understanding of how to improve financial decisions is limited. Recent literature and policy attention have focused on financial education, for example, in high school. We use... View Details

Keywords: Saving; Financial Management; Secondary Education; Behavior; Decision Choices and Conditions; Personal Finance; Household

March 2022 (Revised July 2022)
Technical Note

Statistical Inference

By: Iavor I. Bojinov, Michael Parzen and Paul Hamilton

This note provides an overview of statistical inference for an introductory data science course. First, the note discusses samples and populations. Next the note describes how to calculate confidence intervals for means and proportions. Then it walks through the logic... View Details

Keywords: Data Science; Statistics; Mathematical Modeling; Mathematical Methods; Analytics and Data Science

2012
Article

Demand and Capacity Management in Air Transportation

This paper summarizes research trends and opportunities in the area of managing air transportation demand and capacity. Capacity constraints and resulting congestion and low schedule reliability currently impose large costs on airlines and their passengers. Significant... View Details

Keywords: Demand Management; Capacity Management; Mathematical Modeling; Congestion And Delays; Trends And Opportunities; Demand and Consumers; Air Transportation; Mathematical Methods; Performance Capacity; Air Transportation Industry

February 2021
Tutorial

What is AI?

By: Tsedal Neeley

This video explores the elements that constitute artificial intelligence (AI). From its mathematical basis to current advances in AI, this video introduces students to data, tools, and statistical models that make a computer 'intelligent.' Through an explanation of... View Details

Keywords: Artificial Intelligence; Digital; Technological Innovation; Leadership; AI and Machine Learning; Mathematical Methods

November 2018
Case

Sportradar (A): From Data to Storytelling

By: Ramon Casadesus-Masanell, Karen Elterman and Oliver Gassmann

In 2013, the Swiss sports data company Sportradar debated whether to expand from its core business of data provision to bookmakers into sports media products. Sports data was becoming a commodity, and in the future, sports leagues might reduce their dependence on... View Details

Article

Bilateral Contracts

By: Jerry R. Green and Seppo Honkapohja

A mathematical characterization of self-enforcing bilateral contracts is given. Contracts where both parties exercise some control over the quantity traded can sometimes be superior to contracts that rest control entirely with one side. Some qualitative characteristics... View Details

Keywords: Contracts; Mathematical Methods

August 2005 (Revised September 2006)
Case

Polyphonic HMI: Mixing Music and Math

By: Anita Elberse, Jehoshua Eliashberg and Julian Villanueva

In 2003, Mike McCready, CEO of Barcelona-based Polyphonic HMI, was preparing to launch an artificial intelligence tool that could create significant value for music businesses. The technology, referred to as Hit Song Science (HSS), analyzed the mathematical... View Details

Keywords: Forecasting and Prediction; Music Entertainment; Business History; Leadership; Marketing Strategy; Strategic Planning; Problems and Challenges; Mathematical Methods; Entertainment and Recreation Industry

May 2005 (Revised January 2006)
Background Note

Note on Forward Contracts and Swaps

Introduces forward contracts and derives graphically through basic arbitrage principles the spot-forward parity. Introduces swap contracts as simply a portfolio of forward contracts. Also covers briefly the mathematics behind swaps as an extension of spot-forward... View Details

Keywords: Financial Instruments

2005
Working Paper

Macro for Managers

By: David A. Moss

This note attempts to provide a conceptual overview of macroeconomics. Designed for managers and students of management, it emphasizes fundamental ideas and relationships, rather than mathematical models and formulas. The note identifies—and is structured around—three... View Details

Keywords: Macroeconomics; Money; Relationships; Performance Expectations

2020
Working Paper

Demystifying the Math of the Coronavirus

By: Elon Kohlberg and Abraham Neyman

We provide an elementary mathematical description of the spread of the coronavirus. We explain two fundamental relationships: How the rate of growth in new infections is determined by the “effective reproductive number” and how the effective reproductive number is... View Details

Keywords: Coronavirus; Health Pandemics; Mathematical Methods