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Show Results For
- All HBS Web
(836)
- News (79)
- Research (640)
- Events (13)
- Multimedia (4)
- Faculty Publications (633)
- November 2007
- Background Note
Bayesian Estimation & Black-Litterman
By: Joshua D. Coval and Erik Stafford
Describes a practical method for asset allocation that is more robust to estimation errors than the traditional implementation of mean-variance optimization with sample means and covariances. The Bayesian inspired Black-Litterman model is described after introducing... View Details
Coval, Joshua D., and Erik Stafford. "Bayesian Estimation & Black-Litterman." Harvard Business School Background Note 208-085, November 2007.
- 01 Sep 2004
- News
Lisa Churchville (MBA 1979)
described her as a middle-aged woman. Middle age is a much different proposition these days. And far more mathematically accurate — there are probably as many years left as lived. Looking back, thanks to social change, the baby boomer... View Details
- 2023
- Working Paper
An Experimental Design for Anytime-Valid Causal Inference on Multi-Armed Bandits
By: Biyonka Liang and Iavor I. Bojinov
Typically, multi-armed bandit (MAB) experiments are analyzed at the end of the study and thus require the analyst to specify a fixed sample size in advance. However, in many online learning applications, it is advantageous to continuously produce inference on the... View Details
Liang, Biyonka, and Iavor I. Bojinov. "An Experimental Design for Anytime-Valid Causal Inference on Multi-Armed Bandits." Harvard Business School Working Paper, No. 24-057, March 2024.
- October 1, 2021
- Article
An Evaluation of Cross-efficiency Methods: With an Application to Warehouse Performance.
By: B.M. Balk, M.R. De Koster, Christian Kaps and J.L. Zofio
Cross-efficiency measurement is an extension of Data Envelopment Analysis that allows for tie-breaking ranking of the Decision Making Units (DMUs) using all the peer evaluations. In this article we examine the theory of cross-efficiency measurement by comparing a... View Details
Keywords: Efficiency Analysis; Performance Benchmarking; Warehousing; Analytics and Data Science; Performance Evaluation; Measurement and Metrics; Mathematical Methods
Balk, B.M., M.R. De Koster, Christian Kaps, and J.L. Zofio. "An Evaluation of Cross-efficiency Methods: With an Application to Warehouse Performance." Art. 126261. Applied Mathematics and Computation 406 (October 1, 2021).
- 2022
- Working Paper
The Disagreement Problem in Explainable Machine Learning: A Practitioner's Perspective
By: Satyapriya Krishna, Tessa Han, Alex Gu, Javin Pombra, Shahin Jabbari, Steven Wu and Himabindu Lakkaraju
As various post hoc explanation methods are increasingly being leveraged to explain complex models in high-stakes settings, it becomes critical to develop a deeper understanding of if and when the explanations output by these methods disagree with each other, and how... View Details
Krishna, Satyapriya, Tessa Han, Alex Gu, Javin Pombra, Shahin Jabbari, Steven Wu, and Himabindu Lakkaraju. "The Disagreement Problem in Explainable Machine Learning: A Practitioner's Perspective." Working Paper, 2022.
- 2023
- Article
Probabilistically Robust Recourse: Navigating the Trade-offs between Costs and Robustness in Algorithmic Recourse
By: Martin Pawelczyk, Teresa Datta, Johannes van-den-Heuvel, Gjergji Kasneci and Himabindu Lakkaraju
As machine learning models are increasingly being employed to make consequential decisions in real-world settings, it becomes critical to ensure that individuals who are adversely impacted (e.g., loan denied) by the predictions of these models are provided with a means... View Details
Pawelczyk, Martin, Teresa Datta, Johannes van-den-Heuvel, Gjergji Kasneci, and Himabindu Lakkaraju. "Probabilistically Robust Recourse: Navigating the Trade-offs between Costs and Robustness in Algorithmic Recourse." Proceedings of the International Conference on Learning Representations (ICLR) (2023).
- November–December 2018
- Article
Online Network Revenue Management Using Thompson Sampling
By: Kris J. Ferreira, David Simchi-Levi and He Wang
We consider a network revenue management problem where an online retailer aims to maximize revenue from multiple products with limited inventory constraints. As common in practice, the retailer does not know the consumer's purchase probability at each price and must... View Details
Keywords: Online Marketing; Revenue Management; Revenue; Management; Marketing; Internet and the Web; Price; Mathematical Methods
Ferreira, Kris J., David Simchi-Levi, and He Wang. "Online Network Revenue Management Using Thompson Sampling." Operations Research 66, no. 6 (November–December 2018): 1586–1602.
- Winter 2017
- Article
Why Big Data Isn't Enough
By: Sen Chai and Willy C. Shih
There is a growing belief that sophisticated algorithms can explore huge databases and find relationships independent of any preconceived hypotheses. But in businesses that involve scientific research and technological innovation, this approach is misguided and... View Details
Keywords: Big Data; Science-based; Science; Scientific Research; Data Analytics; Data Science; Data-driven Management; Data Scientists; Technological Innovation; Analytics and Data Science; Mathematical Methods; Theory
Chai, Sen, and Willy C. Shih. "Why Big Data Isn't Enough." Art. 58227. MIT Sloan Management Review 58, no. 2 (Winter 2017): 57–61.
- May 2011
- Teaching Note
Baria Planning Solutions, Inc.: Fixing the Sales Process (Brief Case)
By: Steven C. Wheelwright and William Schmidt
Teaching Note for 4568. View Details
- May 1993
- Case
Patient Transfusion Services Lab of Central Blood Bank
By: James L. Heskett
The vice president of the Lab and Clinical Services at Central Blood Bank is faced with the challenge of convincing a hospital to use economical shared patient transfusion testing services. View Details
Keywords: Health Care and Treatment; Quality; Service Operations; Mathematical Methods; Customer Satisfaction; Health Industry
Heskett, James L. "Patient Transfusion Services Lab of Central Blood Bank." Harvard Business School Case 693-091, May 1993.
- 12 Mar 2008
- Working Paper Summaries
Allocating Marketing Resources
Keywords: by Sunil Gupta & Thomas J. Steenburgh
- May 2011
- Article
Race at the Top: How Companies Shape the Inclusion of African Americans on Their Boards in Response to Institutional Pressures
By: Clayton S. Rose and William T. Bielby
Drawing on institutionalist theory, we conceptualize the racial composition of the boards of directors of large American companies as shaped in response to social and political norms. We use new longitudinal and cross-sectional data to test hypotheses about factors... View Details
Keywords: Leadership; Governing and Advisory Boards; Race; Mathematical Methods; Government and Politics; Public Ownership; United States
Rose, Clayton S., and William T. Bielby. "Race at the Top: How Companies Shape the Inclusion of African Americans on Their Boards in Response to Institutional Pressures." Social Science Research 40, no. 3 (May 2011): 841–859.
- 2009
- Working Paper
Farsighted House Allocation
By: Bettina-Elisabeth Klaus, Flip Klijn and Markus Walzl
In this note we study von Neumann-Morgenstern farsightedly stable sets for Shapley and Scarf (1974) housing markets. Kawasaki (2008) shows that the set of competitive allocations coincides with the unique von Neumann-Morgenstern stable set based on a farsighted version... View Details
Keywords: Microeconomics; Housing; Resource Allocation; Mathematical Methods; Competitive Strategy; Equality and Inequality
Klaus, Bettina-Elisabeth, Flip Klijn, and Markus Walzl. "Farsighted House Allocation." Harvard Business School Working Paper, No. 09-129, May 2009.
- 03 Dec 2024
- News
Magic Numbers
Courtesy Shalinee Sharma Courtesy Shalinee Sharma As a sixth grader in Buffalo, New York, Shalinee Sharma (MBA 2005) believed math just wasn’t her thing. There were only a few girls in the honors class at her new school, and Sharma soon realized that she was far behind... View Details
Keywords: Amy Crawford
- June 2024
- Article
Redistributive Allocation Mechanisms
By: Mohammad Akbarpour, Piotr Dworczak and Scott Duke Kominers
Many scarce public resources are allocated at below-market-clearing prices, and sometimes for free. Such "non-market" mechanisms sacrifice some surplus, yet they can potentially improve equity. We develop a model of mechanism design with redistributive concerns. Agents... View Details
Akbarpour, Mohammad, Piotr Dworczak, and Scott Duke Kominers. "Redistributive Allocation Mechanisms." Journal of Political Economy 132, no. 6 (June 2024): 1831–1875. (Authors' names are in certified random order.)
- May 2010
- Teaching Note
Flare Fragrances Company, Inc.: Analyzing Growth Opportunities (Brief Case)
By: John A. Quelch and Lisa D. Donovan
Teaching note to case #4550 View Details
- February 2010
- Supplement
Marketing Analysis Toolkit: Breakeven Analysis (CW)
By: Thomas J. Steenburgh and Jill Avery
This Excel worksheet contains sample problems, prebuilt Excel models to run breakeven analyses, and charts and graphs which help visualize the results. It is designed to accompany "Marketing Analysis Toolkit: Breakeven Analysis." View Details
- June 2008
- Article
The Market for Mergers and the Boundaries of the Firm
By: Matthew Rhodes-Kropf and David Robinson
We relate the property rights theory of the firm to empirical regularities in the market for mergers and acquisitions. We first show that high market-to-book acquirers typically do not purchase low market-to-book targets. Instead, mergers pair together firms with... View Details
Rhodes-Kropf, Matthew, and David Robinson. "The Market for Mergers and the Boundaries of the Firm." Journal of Finance 63, no. 3 (June 2008): 1169–1211.
- 2008
- Working Paper
Taste Heterogeneity, IIA, and the Similarity Critique
By: Thomas J. Steenburgh and Andrew Ainslie
The purpose of this paper is to show that allowing for taste heterogeneity does not address the similarity critique of discrete-choice models. Although IIA may technically be broken in aggregate, the mixed logit model allows neither a given individual nor the... View Details
Steenburgh, Thomas J., and Andrew Ainslie. "Taste Heterogeneity, IIA, and the Similarity Critique." Harvard Business School Working Paper, No. 09-049, September 2008.
- December 2024
- Article
Respect for Improvements and Comparative Statics in Matching Markets
One of the oldest results in the theory of two-sided matching is the entry comparative static, which shows that under the Gale–Shapley deferred acceptance algorithm, adding a new agent to one side of the market makes all the agents on the other side weakly... View Details
Kominers, Scott Duke. "Respect for Improvements and Comparative Statics in Matching Markets." Journal of Mechanism and Institution Design 9, no. 1 (December 2024): 83–104.