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  • All HBS Web  (1,918)
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    • News  (215)
    • Research  (1,370)
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  • All HBS Web  (1,918)
    • People  (2)
    • News  (215)
    • Research  (1,370)
    • Events  (15)
    • Multimedia  (13)
  • Faculty Publications  (906)
← Page 59 of 1,918 Results →
  • 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
Citation
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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.
  • 18 Sep 2019
  • Working Paper Summaries

Using Models to Persuade

Keywords: by Joshua Schwartzstein and Adi Sunderam
  • September 1993 (Revised August 2011)
  • Exercise

ExtendSim® Simulation Exercises in Process Analysis (A)

By: Roy D. Shapiro
First set of exercises meant to be used with ExtendSim, a simulation system created by Imagine That, Inc. of San Jose, California. These exercises allow students to investigate the impact of variable processing times on the performance of simple in-line processes.... View Details
Keywords: Operations; Business Processes; Performance; Mathematical Methods
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Shapiro, Roy D. "ExtendSim® Simulation Exercises in Process Analysis (A)." Harvard Business School Exercise 694-039, September 1993. (Revised August 2011.)
  • 1 Dec 1998
  • Conference Presentation

An Introduction to Mixed Models in SAS

By: William B. Simpson
Keywords: Applications and Software; Mathematical Methods
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Simpson, William B. "An Introduction to Mixed Models in SAS." Boston Area SAS Users Group, Boston, MA, December 1, 1998.
  • 01 Dec 2020
  • News

Tried and Tested

imbalanced gender dynamics around them. Now, as experimental economists, their research is helping define the complex factors that contribute to the workplace gender gap—and sparking ideas about how to mitigate it. Here, they talk about... View Details
Keywords: Jen McFarland Flint; Scientific Research and Development Services
  • 2023
  • Article

Which Models Have Perceptually-Aligned Gradients? An Explanation via Off-Manifold Robustness

By: Suraj Srinivas, Sebastian Bordt and Himabindu Lakkaraju
One of the remarkable properties of robust computer vision models is that their input-gradients are often aligned with human perception, referred to in the literature as perceptually-aligned gradients (PAGs). Despite only being trained for classification, PAGs cause... View Details
Keywords: AI and Machine Learning; Mathematical Methods
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Srinivas, Suraj, Sebastian Bordt, and Himabindu Lakkaraju. "Which Models Have Perceptually-Aligned Gradients? An Explanation via Off-Manifold Robustness." Advances in Neural Information Processing Systems (NeurIPS) (2023).
  • March 2022 (Revised January 2025)
  • 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
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Bojinov, Iavor I., Michael Parzen, and Paul Hamilton. "Statistical Inference." Harvard Business School Technical Note 622-099, March 2022. (Revised January 2025.)
  • March 2020
  • Article

Diagnosing Missing Always at Random in Multivariate Data

By: Iavor I. Bojinov, Natesh S. Pillai and Donald B. Rubin
Models for analyzing multivariate data sets with missing values require strong, often assessable, assumptions. The most common of these is that the mechanism that created the missing data is ignorable—a twofold assumption dependent on the mode of inference. The first... View Details
Keywords: Missing Data; Diagnostic Tools; Sensitivity Analysis; Hypothesis Testing; Missing At Random; Row Exchangeability; Analytics and Data Science; Mathematical Methods
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Bojinov, Iavor I., Natesh S. Pillai, and Donald B. Rubin. "Diagnosing Missing Always at Random in Multivariate Data." Biometrika 107, no. 1 (March 2020): 246–253.
  • June 2000
  • Article

On the Regulatory Application of Efficiency Measures

The last decade has witnessed a change to more powerful incentive schemes and the adoption by a large number of regulators of some form of price cap regimes. The efficiency frontiers literature tackles the problem of measuring the X factor in a price cap regime... View Details
Keywords: Performance Productivity; Mathematical Methods; Performance Efficiency
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Ruzzier, Christian Alejandro. "On the Regulatory Application of Efficiency Measures." Utilities Policy 9, no. 2 (June 2000): 81–92. (with M. Rossi.)
  • August 2001 (Revised July 2008)
  • Technical Note

A Technical Note and Discussion on Real Estate Valuation (IBET): Back of the Envelope (BOE) on Bonhomme Place: A Case within a Case

By: Arthur I Segel
Discusses real estate valuation. Reviews "back of the envelope" valuation; real estate appraisal methods, including the income method; market comparables and replacement costs; and more complex computer modeling. Also discusses other variables that could influence... View Details
Keywords: Investment Funds; Mathematical Methods; Valuation; Real Estate Industry
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Segel, Arthur I. "A Technical Note and Discussion on Real Estate Valuation (IBET): Back of the Envelope (BOE) on Bonhomme Place: A Case within a Case." Harvard Business School Technical Note 802-025, August 2001. (Revised July 2008.)
  • 1980
  • Chapter

Tests of Capital Market Theory and Implications of the Evidence

By: Michael Jensen
Keywords: Capital Markets; Mathematical Methods
Citation
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Jensen, Michael. "Tests of Capital Market Theory and Implications of the Evidence." In Handbook of Financial Economics, edited by J. L. Bicksler. North-Holland Publishing Company, 1980. (Originally published in Is Financial Analysis Useless? Proceedings of a Seminar on the Efficient Market and Random Walk Hypotheses (The Financial Analysts Research Foundation, 1975).)
  • Article

Value of Information with Sequential Futures Markets

By: Jerry R. Green
The effects of an improvement in information on the efficiency of risk-bearing are studied under various systems of incomplete markets. With sequential futures markets for uncontingent delivery, the welfare effects are indeterminate in sign, except under special... View Details
Keywords: Information; Financial Markets; Mathematical Methods
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Green, Jerry R. "Value of Information with Sequential Futures Markets." Econometrica 49, no. 2 (March 1981): 335–358.
  • March 2010
  • Article

Matching with Preferences over Colleagues Solves Classical Matching

By: Scott Duke Kominers
In this note, we demonstrate that the problem of "many-to-one matching with (strict) preferences over colleagues" is actually more difficult than the classical many-to-one matching problem, "matching without preferences over colleagues." We give an explicit reduction... View Details
Keywords: Two-Sided Platforms; Balance and Stability; Mathematical Methods
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Kominers, Scott Duke. "Matching with Preferences over Colleagues Solves Classical Matching." Games and Economic Behavior 68, no. 2 (March 2010): 773–780.
  • 14 May 2014
  • News

(Re)moving the Needle

You wouldn't think that the lowly, annoying mosquito would have anything to teach researchers working on the cutting edge of drug delivery methodology, but you would be wrong. Have you ever noticed that you don't become aware of a... View Details
Keywords: Robert S. Benchley; medical technology; Scientific Research and Development Services
  • Other Unpublished Work

A Technique to Estimate Retail Demand and Lost Sales

By: A. Raman and Giulio Zotteri
Keywords: Mathematical Methods; Demand and Consumers; Sales; Retail Industry
Citation
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Raman, A., and Giulio Zotteri. "A Technique to Estimate Retail Demand and Lost Sales."
  • 2018
  • Working Paper

Full Substitutability

By: John William Hatfield, Scott Duke Kominers, Alexandru Nichifor, Michael Ostrovsky and Alexander Westkamp
Various forms of substitutability are essential for establishing the existence of equilibria and other useful properties in diverse settings such as matching, auctions, and exchange economies with indivisible goods. We extend earlier models’ definitions of... View Details
Keywords: Substitutability; Mathematical Methods; Auctions; Market Design
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Hatfield, John William, Scott Duke Kominers, Alexandru Nichifor, Michael Ostrovsky, and Alexander Westkamp. "Full Substitutability." Harvard Business School Working Paper, No. 19-016.
  • Article

Testing Substitutability

By: John William Hatfield, Nicole Immorlica and Scott Duke Kominers
We provide an algorithm for testing the substitutability of a length-N preference relation over a set of contracts X in time O(|X|3⋅N3). Access to the preference relation is essential for this result: We show that a substitutability-testing algorithm with access only... View Details
Keywords: Substitutability; Matching; Communication Complexity; Preference Elicitation; Marketplace Matching; Communication; Mathematical Methods; Economics
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Hatfield, John William, Nicole Immorlica, and Scott Duke Kominers. "Testing Substitutability." Games and Economic Behavior 75, no. 2 (July 2012): 639–645.
  • 1980
  • Chapter

Network Analysis on Organization

By: Michael Tushman
Keywords: Organizational Design; Networks; Mathematical Methods
Citation
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Tushman, Michael. "Network Analysis on Organization." In Organizational Assessment: Perspectives on the Measurement of Organizational Behavior and the Quality of Working Life, edited by Edward Lawler. New York: John Wiley & Sons, 1980.
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