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  • All HBS Web  (620)
    • News  (18)
    • Research  (579)
    • Events  (3)
  • Faculty Publications  (571)

Show Results For

  • All HBS Web  (620)
    • News  (18)
    • Research  (579)
    • Events  (3)
  • Faculty Publications  (571)
← Page 16 of 620 Results →
  • January 2008 (Revised April 2008)
  • Teaching Note

Pilgrim Bank (B): Statistics Review with Data Desk

By: Frances X. Frei
Teaching Note for 602095. View Details
Keywords: Banks and Banking; Mathematical Methods; Banking Industry
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Frei, Frances X. "Pilgrim Bank (B): Statistics Review with Data Desk." Harvard Business School Teaching Note 608-096, January 2008. (Revised April 2008.)
  • September 1993 (Revised August 2011)
  • Exercise

ExtendSim® Simulation Exercises in Process Analysis (B)

By: Roy D. Shapiro
Second set of exercises meant to be used with ExtendSim, a simulation package created by Imagine That, Inc. of San Jose, California, that allows students to investigate the impact of adding buffers to simple in-line processes with uncertain processing times. View Details
Keywords: Measurement and Metrics; Operations; Production; Mathematical Methods
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Shapiro, Roy D. "ExtendSim® Simulation Exercises in Process Analysis (B)." Harvard Business School Exercise 694-040, September 1993. (Revised August 2011.)
  • 2006
  • Chapter

Interorganizational Cooperation between Not-for-profit Organizations: A Relational Analysis

By: Julie Battilana and Metin Sengul
Keywords: Nonprofit Organizations; Cooperation; Mathematical Methods
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Battilana, Julie, and Metin Sengul. "Interorganizational Cooperation between Not-for-profit Organizations: A Relational Analysis." In Relational Perspectives in Organization Studies: A Research Companion, edited by Olympia Kyriakidou and Mustafa F. Özbilgin, 197–220. Cheltenham, U.K.: Edward Elgar Publishing, 2006.
  • 01 Dec 1997
  • News

Merton's Economics Research Wins Nobel Prize

evaluation began when he was a graduate student in applied mathematics at the California Institute of Technology and intensified in the late 1960s, when he went to MIT to study economics under Nobel Laureate Paul Samuelson. At MIT, he... 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.
  • 2023
  • Article

On Minimizing the Impact of Dataset Shifts on Actionable Explanations

By: Anna P. Meyer, Dan Ley, Suraj Srinivas and Himabindu Lakkaraju
The Right to Explanation is an important regulatory principle that allows individuals to request actionable explanations for algorithmic decisions. However, several technical challenges arise when providing such actionable explanations in practice. For instance, models... View Details
Keywords: Mathematical Methods; Analytics and Data Science
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Meyer, Anna P., Dan Ley, Suraj Srinivas, and Himabindu Lakkaraju. "On Minimizing the Impact of Dataset Shifts on Actionable Explanations." Proceedings of the Conference on Uncertainty in Artificial Intelligence (UAI) 39th (2023): 1434–1444.
  • 2017
  • Working Paper

Investment Timing with Costly Search for Financing

By: Samuel Antill
I develop a dynamic model of investment timing in which firms must first choose when to search for external financing. Search is costly and the arrival of investors is uncertain, leading to delay in financing and investment. Depending on parameters, my model can... View Details
Keywords: Real Options; Search And Bargaining; Time-varying Financial Conditions; Investment; Venture Capital; Mathematical Methods
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Antill, Samuel. "Investment Timing with Costly Search for Financing." Working Paper, December 2017.
  • January 2011
  • Teaching Note

AIC Netbooks: Optimizing Product Assembly (Brief Case)

By: Steven C. Wheelwright and Sunru Yong
Teaching Note for 4245. View Details
Keywords: Performance Management; Quantitative Analysis; Manufacturing; Production Planning; Production Management; Production; Mathematical Methods; Performance Evaluation; Planning; Manufacturing Industry
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Wheelwright, Steven C., and Sunru Yong. "AIC Netbooks: Optimizing Product Assembly (Brief Case)." Harvard Business School Teaching Note 114-246, January 2011.
  • 1981
  • Chapter

Productivity Measurement at the Level of the Firm: An Application within the Service Industry

By: Hirotaka Takeuchi
Keywords: Performance Productivity; Measurement and Metrics; Mathematical Methods; Service Industry
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Takeuchi, Hirotaka. "Productivity Measurement at the Level of the Firm: An Application within the Service Industry." In Productivity Analysis at the Firm Level, edited by Ali Dogramaci and Nabil R. Adam. Martinus Nijhoff Publishers, 1981.
  • November 1989 (Revised March 1992)
  • Background Note

Concept Testing

By: Robert J. Dolan
Describes concept testing products. Presents guidelines for effective design, execution, and interpretation of test procedures. Discusses limitations of these techniques and sets out the situations for which they are appropriate. View Details
Keywords: Marketing; Mathematical Methods; Forecasting and Prediction
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Dolan, Robert J. "Concept Testing." Harvard Business School Background Note 590-063, November 1989. (Revised March 1992.)
  • 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 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.)
  • June 2008
  • Supplement

Marie Trellu-Kane at Unis-Cite

By: Michel Anteby and Julie Battilana
Video supplement to Marie Trellu-Kane at Unis-Cite (A). View Details
Keywords: Social Enterprise; Organizational Design; Mathematical Methods; Paris
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Anteby, Michel, and Julie Battilana. "Marie Trellu-Kane at Unis-Cite." Harvard Business School Video Supplement 408-709, June 2008.
  • 1996
  • Thesis

Limits on Interest Rate Rules in Macroeconomic Models Governed by Price Stickiness and Rational Expectations

By: William R. Kerr
Keywords: Interest Rates; Macroeconomics; Mathematical Methods
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Kerr, William R. "Limits on Interest Rate Rules in Macroeconomic Models Governed by Price Stickiness and Rational Expectations." Thesis, University of Virginia, 1996.
  • August 1991
  • Background Note

Industrial Market Research: Beta Test Site Management

By: Robert J. Dolan
Describes the role of BETA tests in the new product development process and presents guidelines for effective test program development. View Details
Keywords: Product Development; Mathematical Methods; Marketing
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Dolan, Robert J. "Industrial Market Research: Beta Test Site Management." Harvard Business School Background Note 592-010, August 1991.
  • July 2002
  • Article

The Economist As Engineer: Game Theory, Experimental Economics and Computation As Tools of Design Economics

By: Alvin E Roth
Keywords: Game Theory; Economics; Mathematical Methods; Design
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Roth, Alvin E. "The Economist As Engineer: Game Theory, Experimental Economics and Computation As Tools of Design Economics." Econometrica 70, no. 4 (July 2002): 1341–1378.
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