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  • All HBS Web  (839)
    • News  (79)
    • Research  (641)
    • Events  (14)
    • Multimedia  (4)
  • Faculty Publications  (635)

Show Results For

  • All HBS Web  (839)
    • News  (79)
    • Research  (641)
    • Events  (14)
    • Multimedia  (4)
  • Faculty Publications  (635)
← Page 22 of 839 Results →
  • 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
Keywords: Asset Management; Investment Portfolio; Mathematical Methods
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Coval, Joshua D., and Erik Stafford. "Bayesian Estimation & Black-Litterman." Harvard Business School Background Note 208-085, November 2007.
  • Article

The Effects of the Change in the NRMP Matching Algorithm

By: A. E. Roth and Elliott Peranson
Keywords: Change; Mathematical Methods
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Roth, A. E., and Elliott Peranson. "The Effects of the Change in the NRMP Matching Algorithm." JAMA, the Journal of the American Medical Association 278, no. 9 (September 3, 1997): 729–732.
  • 2002
  • Chapter

Foundations of Strategic Equilibria

By: John Hillas and Elon Kohlberg
Keywords: Strategy; Mathematical Methods
Citation
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Hillas, John, and Elon Kohlberg. "Foundations of Strategic Equilibria." In Handbook of Game Theory, edited by Robert J. Aumann and Sergiu Hart. Elsevier Science, 2002.
  • Web

Cameron Stone | MBA

Cameron Stone Computer Science, Secondary In Mathematical Sciences Mather 2023 Cohort 5 I have an entrepreneurial spirit and itch to build. I also naturally gravitate towards leadership roles where I can be a decision-maker. So, being a... View Details
  • 01 Mar 2016
  • News

Faculty Q&A: Price Check

How did you come to focus on algorithmic pricing? In my doctoral work at MIT, I was studying optimization, probability, and machine learning, which are essentially mathematical tools that enable us to use data to make better decisions.... View Details
Keywords: Julia Hanna; Nonstore Retailers; Retail Trade
  • Profile

Mike Watitwa

to good schools, some of which were well beyond his means. He also had an unrivalled work ethic. He would wake up early in the morning and till the farm for about an hour before preparing to go to the nearby high school where he was a View Details
  • 01 Jun 2017
  • News

Ask the Expert: On the Fly

(above: photo by Getty Images/Patrick Foto) A mathematics major, Don Carty (MBA 1971) has always seen the airline business as a huge puzzle, with the equation involving inventory and pricing, cruising allocations, weather, and holiday... View Details
Keywords: Julia Hanna
  • 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).)
  • 1983
  • Chapter

Statistical Methods for Auditing and Accounting

By: Robert S. Kaplan
Keywords: Accounting; Accounting Audits; Mathematical Methods
Citation
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Kaplan, Robert S. "Statistical Methods for Auditing and Accounting." Chap. 1 in Handbook of Modern Accounting. 3rd ed. Edited by Sidney Davidson and Roman L. Weil. New York: McGraw-Hill, 1983. (Similar chapter also appeared in 2nd ed., 1977.)
  • 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.
  • 1992
  • Chapter

Thinking Coalitionally: Party Arithmetic, Process Opportunism, and Strategic Sequencing

By: James K. Sebenius and David Lax
Keywords: Alliances; Negotiation Process; Mathematical Methods; Strategy
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Sebenius, James K., and David Lax. "Thinking Coalitionally: Party Arithmetic, Process Opportunism, and Strategic Sequencing." In Negotiation Analysis, edited by H. Peyton Young, 153–193. Ann Arbor, MI: University of Michigan Press, 1992.
  • 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.)
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