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Publications

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  • All HBS Web  (617)
    • News  (18)
    • Research  (579)
    • Events  (3)
  • Faculty Publications  (568)

Show Results For

  • All HBS Web  (617)
    • News  (18)
    • Research  (579)
    • Events  (3)
  • Faculty Publications  (568)
← Page 17 of 617 Results →
  • November 1990 (Revised August 1996)
  • Background Note

Sampling and Statistical Inference

By: Arthur Schleifer Jr.
An introduction to sampling and statistical inference that covers the main concepts (confidence intervals, tests of statistical significance, choice of sample size) that are needed in making inferences about a population mean or percent. Includes discussion of problems... View Details
Keywords: Mathematical Methods; Forecasting and Prediction; Demographics
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Schleifer, Arthur, Jr. "Sampling and Statistical Inference." Harvard Business School Background Note 191-092, November 1990. (Revised August 1996.)
  • January 2008 (Revised April 2008)
  • Teaching Note

Pilgrim Bank (C): Statistics Review with Data Desk

By: Frances X. Frei
Teaching Note for [602103]. View Details
Keywords: Banks and Banking; Mathematical Methods; Banking Industry
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Frei, Frances X. "Pilgrim Bank (C): Statistics Review with Data Desk." Harvard Business School Teaching Note 608-097, January 2008. (Revised April 2008.)
  • 2008
  • Working Paper

Unravelling in Two-Sided Matching Markets and Similarity of Preferences

By: Hanna Halaburda
This paper investigates the causes and welfare consequences of unravelling in two-sided matching markets. It shows that similarity of preferences is an important factor driving unravelling. In particular, it shows that under the ex-post stable mechanism (the mechanism... View Details
Keywords: Market Participation; Two-Sided Platforms; Marketplace Matching; Mathematical Methods
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Halaburda, Hanna. "Unravelling in Two-Sided Matching Markets and Similarity of Preferences." Harvard Business School Working Paper, No. 09-068, November 2008.
  • May 2007 (Revised March 2008)
  • Background Note

Basic Techniques for the Analysis of Customer Information Using Excel 2003: A Step-by-Step Approach

By: Francisco de Asis Martinez-Jerez
Provides a set of easy, step-by-step guides for some analytical techniques that are useful in the analysis of cases discussed in the course "Competing and Winning Through Customer Information (CWCI)". The instructions that follow use datasets from three of the cases in... View Details
Keywords: Data and Data Sets; Management Analysis, Tools, and Techniques; Mathematical Methods
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Martinez-Jerez, Francisco de Asis. "Basic Techniques for the Analysis of Customer Information Using Excel 2003: A Step-by-Step Approach." Harvard Business School Background Note 107-073, May 2007. (Revised March 2008.)
  • 2009
  • Chapter

Identity as a Variable

By: Rawi Abdelal, Yoshiko M. Herrera, Alastair Iain Johnston and Rose McDermott
Keywords: Identity; Measurement and Metrics; Mathematical Methods
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Abdelal, Rawi, Yoshiko M. Herrera, Alastair Iain Johnston, and Rose McDermott. "Identity as a Variable." In Measuring Identity, edited by Rawi Abdelal, Yoshiko M. Herrera, Alastair Iain Johnston, and Rose McDermott, 17–32. Cambridge: Cambridge University Press, 2009.
  • June 1999
  • Article

Projections onto Efficient Frontiers: Theoretical and Computational Extensions to DEA

By: F. Frei and P. Harker
Keywords: Mathematical Methods; Forecasting and Prediction; Theory
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Frei, F., and P. Harker. "Projections onto Efficient Frontiers: Theoretical and Computational Extensions to DEA." Journal of Productivity Analysis 11, no. 3 (June 1999): 275–300.
  • May 1990
  • Background Note

Conjoint Analysis: A Manager's Guide

By: Robert J. Dolan
Presents a non-technical description of the conjoint analysis methodology. Discusses the process by which such a study is done and cites areas of application. View Details
Keywords: Marketing; Mathematical Methods; Forecasting and Prediction
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Dolan, Robert J. "Conjoint Analysis: A Manager's Guide." Harvard Business School Background Note 590-059, May 1990.
  • 2002
  • Chapter

Contributions of Applied Systems Analysis to International Negotiation

By: Howard Raiffa
Keywords: Negotiation; International Relations; Mathematical Methods
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Raiffa, Howard. "Contributions of Applied Systems Analysis to International Negotiation." Chap. 1 in International Negotiation: Analysis, Approaches, Issues. 2nd ed. Edited by Victor Kremenyuk. San Francisco: Jossey-Bass, 2002.
  • 01 Mar 2015
  • News

The Next Big Swing

in 1987, the game puts players in the manager’s seat, letting them make tactical decisions against a mathematical model that determines outcomes based on everything from how a batter has historically fared against a certain pitcher to the... View Details
Keywords: Andrew Clark; Performing Arts, Spectator Sports, and Related Industries; Arts, Entertainment; Management, Scientific, and Technical Consulting Services; Professional Services; Data Processing, Hosting, and Related Services; Information
  • 2025
  • Working Paper

Incentive-Compatible Recovery from Manipulated Signals, with Applications to Decentralized Physical Infrastructure

By: Jason Milionis, Jens Ernstberger, Joseph Bonneau, Scott Duke Kominers and Tim Roughgarden
We introduce the first formal model capturing the elicitation of unverifiable information from a party (the "source") with implicit signals derived by other players (the "observers"). Our model is motivated in part by applications in decentralized physical... View Details
Keywords: Mathematical Methods; Infrastructure; Information Infrastructure
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Milionis, Jason, Jens Ernstberger, Joseph Bonneau, Scott Duke Kominers, and Tim Roughgarden. "Incentive-Compatible Recovery from Manipulated Signals, with Applications to Decentralized Physical Infrastructure." Working Paper, March 2025.
  • 2021
  • Working Paper

Impact Investing: A Theory of Financing Social Enterprises

By: Benjamin N. Roth
I present a model of financing social enterprises to delineate the role of impact investors relative to “pure” philanthropists. I characterize the optimal scale and structure of a social enterprise when financed by grants, and when financed by investments. Impact... View Details
Keywords: Impact Investing; Social Entrepreneurship; Finance; Investment; Mathematical Methods
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Roth, Benjamin N. "Impact Investing: A Theory of Financing Social Enterprises." Harvard Business School Working Paper, No. 20-078, February 2020. (Revised June 2021.)
  • Article

Quantile Evaluation, Sensitivity to Bracketing, and Sharing Business Payoffs

By: Y. Grushka-Cockayne, K. C. Lichtendahl, V.R.R. Jose and R.L. Winkler
From forecasting competitions to conditional value-at-risk requirements, the use of multiple quantile assessments is growing in practice. To evaluate them, we use a rule from the general class of proper scoring rules for a forecaster’s multiple quantiles of a single... View Details
Keywords: Forecast; Aggregation; Operations; Forecasting and Prediction; Mathematical Methods
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Grushka-Cockayne, Y., K. C. Lichtendahl, V.R.R. Jose, and R.L. Winkler. "Quantile Evaluation, Sensitivity to Bracketing, and Sharing Business Payoffs." Operations Research 65, no. 3 (May–June 2017): 712–728.
  • January 2000
  • Article

Maxmin Expected Utility through Statewise Combinations

By: Ramon Casadesus-Masanell, Peter Klibanoff and Emre Ozdenoren
This paper provides an axiomatic foundation for a maxmin expected utility over a set of priors (MMEU) decision rule in an environment where the elements of choice are Savage acts. The key axioms are stated using statewise combinations as in Gul (1992). View Details
Keywords: Decision Choices and Conditions; Mathematical Methods
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Casadesus-Masanell, Ramon, Peter Klibanoff, and Emre Ozdenoren. "Maxmin Expected Utility through Statewise Combinations." Economics Letters 66, no. 1 (January 2000): 49–54.
  • 1977
  • Chapter

A Reexamination of the Capital Asset Pricing Model

By: Robert C. Merton
Keywords: Capital; Asset Pricing; Mathematical Methods
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Merton, Robert C. "A Reexamination of the Capital Asset Pricing Model." In Studies in Risk and Return, edited by J. Bicksler and I. Friend. Cambridge, MA: Ballinger Publishing Company, 1977.
  • March 2011 (Revised April 2021)
  • Case

The Whiz Kids

By: Tom Nicholas and David Chen
In October 1945, Henry Ford II received a telegram in his office at the Ford Motor Company in Dearborn, Michigan written by Charles "Tex" Thornton, a U.S. Air Force colonel. The telegram presented an opportunity for Ford to deploy a system of statistical control which... View Details
Keywords: Ford Motor Company; Statistical Control; Management Systems; Accounting; Operations; Strategy; Mathematical Methods; Auto Industry; United States
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Nicholas, Tom, and David Chen. "The Whiz Kids." Harvard Business School Case 811-042, March 2011. (Revised April 2021.)
  • 01 Dec 2007
  • News

From A to Z

French Last Job: Business Analyst, McKinsey & Company, Moscow Age: 26 Why HBS? “My degree is in economics, which was exciting but strictly mathematical and theoretical. I wanted to become a more well-rounded individual and gain a wider... View Details
Keywords: Business Schools & Computer & Management Training; Educational Services
  • Web

Introduction - Option Pricing in Theory & Practice: The Nobel Prize Research of Robert C. Merton - Exhibits - Historical Collections

be awarded to Professor Robert C. Merton, Harvard University, and Professor Myron S. Scholes, Stanford University, "for a new method to determine the value of derivatives." Robert Merton is the 35th Harvard University faculty member - and... View Details
  • 2023
  • Working Paper

Design-Based Inference for Multi-arm Bandits

By: Dae Woong Ham, Iavor I. Bojinov, Michael Lindon and Martin Tingley
Multi-arm bandits are gaining popularity as they enable real-world sequential decision-making across application areas, including clinical trials, recommender systems, and online decision-making. Consequently, there is an increased desire to use the available... View Details
Keywords: Analytics and Data Science; Mathematical Methods
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Ham, Dae Woong, Iavor I. Bojinov, Michael Lindon, and Martin Tingley. "Design-Based Inference for Multi-arm Bandits." Harvard Business School Working Paper, No. 24-056, March 2024.
  • 2024
  • Working Paper

Bootstrap Diagnostics for Irregular Estimators

By: Isaiah Andrews and Jesse M. Shapiro
Empirical researchers frequently rely on normal approximations in order to summarize and communicate uncertainty about their findings to their scientific audience. When such approximations are unreliable, they can lead the audience to make misguided decisions. We... View Details
Keywords: Mathematical Methods; Decision Choices and Conditions
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Andrews, Isaiah, and Jesse M. Shapiro. "Bootstrap Diagnostics for Irregular Estimators." NBER Working Paper Series, No. 32038, January 2024.
  • 2023
  • Working Paper

Distributionally Robust Causal Inference with Observational Data

By: Dimitris Bertsimas, Kosuke Imai and Michael Lingzhi Li
We consider the estimation of average treatment effects in observational studies and propose a new framework of robust causal inference with unobserved confounders. Our approach is based on distributionally robust optimization and proceeds in two steps. We first... View Details
Keywords: AI and Machine Learning; Mathematical Methods
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Bertsimas, Dimitris, Kosuke Imai, and Michael Lingzhi Li. "Distributionally Robust Causal Inference with Observational Data." Working Paper, February 2023.
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