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Publications

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  • All HBS Web  (838)
    • News  (79)
    • Research  (640)
    • Events  (14)
    • Multimedia  (4)
  • Faculty Publications  (632)

Show Results For

  • All HBS Web  (838)
    • News  (79)
    • Research  (640)
    • Events  (14)
    • Multimedia  (4)
  • Faculty Publications  (632)
← Page 25 of 838 Results →
  • 2024
  • Working Paper

Anytime-Valid Inference in Linear Models and Regression-Adjusted Causal Inference

By: Michael Lindon, Dae Woong Ham, Martin Tingley and Iavor I. Bojinov
Linear regression adjustment is commonly used to analyze randomized controlled experiments due to its efficiency and robustness against model misspecification. Current testing and interval estimation procedures leverage the asymptotic distribution of such estimators to... View Details
Keywords: Mathematical Methods; Analytics and Data Science
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Lindon, Michael, Dae Woong Ham, Martin Tingley, and Iavor I. Bojinov. "Anytime-Valid Inference in Linear Models and Regression-Adjusted Causal Inference." Harvard Business School Working Paper, No. 24-060, March 2024.
  • 2023
  • Article

Verifiable Feature Attributions: A Bridge between Post Hoc Explainability and Inherent Interpretability

By: Usha Bhalla, Suraj Srinivas and Himabindu Lakkaraju
With the increased deployment of machine learning models in various real-world applications, researchers and practitioners alike have emphasized the need for explanations of model behaviour. To this end, two broad strategies have been outlined in prior literature to... View Details
Keywords: AI and Machine Learning; Mathematical Methods
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Bhalla, Usha, Suraj Srinivas, and Himabindu Lakkaraju. "Verifiable Feature Attributions: A Bridge between Post Hoc Explainability and Inherent Interpretability." Advances in Neural Information Processing Systems (NeurIPS) (2023).
  • May 2020
  • Article

Scalable Holistic Linear Regression

By: Dimitris Bertsimas and Michael Lingzhi Li
We propose a new scalable algorithm for holistic linear regression building on Bertsimas & King (2016). Specifically, we develop new theory to model significance and multicollinearity as lazy constraints rather than checking the conditions iteratively. The resulting... View Details
Keywords: Mathematical Methods; Analytics and Data Science
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Bertsimas, Dimitris, and Michael Lingzhi Li. "Scalable Holistic Linear Regression." Operations Research Letters 48, no. 3 (May 2020): 203–208.
  • March 2022
  • Article

Sensitivity Analysis of Agent-based Models: A New Protocol

By: Emanuele Borgonovo, Marco Pangallo, Jan Rivkin, Leonardo Rizzo and Nicolaj Siggelkow
Agent-based models (ABMs) are increasingly used in the management sciences. Though useful, ABMs are often critiqued: it is hard to discern why they produce the results they do and whether other assumptions would yield similar results. To help researchers address such... View Details
Keywords: Agent-based Modeling; Sensitivity Analysis; Design Of Experiments; Total Order Sensitivity Indices; Organizations; Behavior; Decision Making; Mathematical Methods
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Borgonovo, Emanuele, Marco Pangallo, Jan Rivkin, Leonardo Rizzo, and Nicolaj Siggelkow. "Sensitivity Analysis of Agent-based Models: A New Protocol." Computational and Mathematical Organization Theory 28, no. 1 (March 2022): 52–94.
  • 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.
  • June 2012
  • Response

Solution to Exchanges 10.2 Puzzle: Borrowing in the Limit as Our Nerdiness Goes to Infinity

By: Ran I. Shorrer
This is a solution to the editor's puzzle from issue 10.2 of SIGecom Exchanges [Reeves 2011]. The puzzle asks to determine a point in time such that a lump sum payment of $S will be equivalent to a continuous stream of infinitesimal payments totaling $S, spread evenly... View Details
Keywords: Borrowing and Debt; Market Transactions; Mathematical Methods
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Shorrer, Ran I. "Solution to Exchanges 10.2 Puzzle: Borrowing in the Limit as Our Nerdiness Goes to Infinity." ACM SIGecom Exchanges 11, no. 1 (June 2012): 39–41.
  • September 2010 (Revised January 2011)
  • Background Note

Using Regression Analysis to Estimate Time Equations

This note presents a simple way to estimate time equations using regression analysis in Excel. The note quickly outlines regression analysis, then presents a real-life case example from the natural gas industry that students can use to gain experience developing and... View Details
Keywords: Accounting; Activity Based Costing and Management; Mathematical Methods
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Martinez-Jerez, Francisco de Asis, and Ariel Andres Blumenkranc. "Using Regression Analysis to Estimate Time Equations." Harvard Business School Background Note 111-001, September 2010. (Revised January 2011.)
  • June 2007
  • Article

Which Levers Boost ROI?

By: Margeaux Cvar and John A. Quelch
The article refers to ROI, or return on investment, and focuses on a rational strategy for financial markets that uses outside industry comparisons. The first step is to identify parallel businesses that have similar characteristics such as growth, capital, and market... View Details
Keywords: Mathematical Methods; Financial Markets; Investment Return
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Cvar, Margeaux, and John A. Quelch. "Which Levers Boost ROI?" Harvard Business Review 85, no. 6 (June 2007): 21–24.
  • 1987
  • Chapter

On the Current State of the Stock Market Rationality Hypothesis

By: Robert C. Merton
Keywords: Financial Markets; Stocks; Mathematical Methods
Citation
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Merton, Robert C. "On the Current State of the Stock Market Rationality Hypothesis." In Macroeconomics and Finance: Essays in Honor of Franco Modigliani, edited by R. Dornbusch, S. Fischer, and J. Bossons. Cambridge: MIT Press, 1987.
  • 2012
  • Working Paper

Rainmakers: Why Bad Weather Means Good Productivity

By: Jooa Julia Lee, Francesca Gino and Bradley R. Staats
People believe that weather conditions influence their everyday work life, but to date, little is known about how weather affects individual productivity. Most people believe that bad weather conditions reduce productivity. In this research, we predict and find just... View Details
Keywords: Productivity; Opportunity Cost; Distractions; Weather; Performance Productivity; Social Psychology; Mathematical Methods
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Lee, Jooa Julia, Francesca Gino, and Bradley R. Staats. "Rainmakers: Why Bad Weather Means Good Productivity." Harvard Business School Working Paper, No. 13-005, July 2012.
  • 2013
  • Working Paper

Competing Ad Auctions

By: Itai Ashlagi, Benjamin Edelman and Hoan Soo Lee
We present a two-stage model of competing ad auctions. Search engines attract users via Cournot-style competition. Meanwhile, each advertiser must pay a participation cost to use each ad platform, and advertiser entry strategies are derived using symmetric Bayes-Nash... View Details
Keywords: Online Advertising; Auctions; Market Participation; Market Platforms; Mathematical Methods; Competition
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Ashlagi, Itai, Benjamin Edelman, and Hoan Soo Lee. "Competing Ad Auctions." Harvard Business School Working Paper, No. 10-055, January 2010. (Revised May 2010, February 2011, September 2013.)
  • 2009
  • Working Paper

Farsighted Stability for Roommate Markets

By: Bettina-Elisabeth Klaus, Flip Klijn and Markus Walzl
Using a bi-choice graph technique (Klaus and Klijn, 2009), we show that a matching for a roommate market indirectly dominates another matching if and only if no blocking pair of the former is matched in the latter (Proposition 1). Using this characterization of... View Details
Keywords: Two-Sided Platforms; Marketplace Matching; Mathematical Methods; Balance and Stability
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Klaus, Bettina-Elisabeth, Flip Klijn, and Markus Walzl. "Farsighted Stability for Roommate Markets." Harvard Business School Working Paper, No. 09-135, May 2009.
  • October 2004 (Revised May 2006)
  • Case

Wells REIT II

By: Arthur I Segel and Dwight Angelini
Dr. Richard Planter, a dentist, asks his financial adviser, Michael Saris, to review an offering memorandum for a new, private real estate investment trust. After reviewing the documents, Saris needs to develop an analytical framework and provide concrete advice... View Details
Keywords: Finance; Investment; Framework; Private Ownership; Mathematical Methods; Real Estate Industry
Citation
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Segel, Arthur I., and Dwight Angelini. "Wells REIT II." Harvard Business School Case 205-019, October 2004. (Revised May 2006.)
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