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- Faculty Publications (32)
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- All HBS Web (49)
- Faculty Publications (32)
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- Article
The Nature of Stochastic Equilibria
By: Jerry R. Green and Mukul Majumdar
This paper formulates the notion of stochastic equilibria as invariant probability distributions consistent with the behavior patterns of individuals and the disequilibrium adjustment mechanism of the economy. Conditions for existence, uniqueness, and stability of such... View Details
Green, Jerry R., and Mukul Majumdar. "The Nature of Stochastic Equilibria." Econometrica 43, no. 4 (July 1975): 647–660.
- 1987
- Chapter
Continuous-Time Stochastic Models
By: Robert C. Merton
Keywords: Mathematical Methods
Merton, Robert C. "Continuous-Time Stochastic Models." In The New Palgrave: A Dictionary of Economic Theory and Doctrine, edited by John Eatwell, Murray Milgate, and Peter Newman. London: Macmillan Press, 1987. (Revised in The New Palgrave Dictionary of Money and Finance, London: MacMillan Press, Ltd., 1992.)
- January 1972
- Article
Stochastic Growth Models
By: Robert S. Kaplan
Keywords: Growth and Development
Kaplan, Robert S. "Stochastic Growth Models." Management Science 18 (January 1972): 249–264.
- spring 1973
- Article
A Stochastic Model for Auditing
By: Robert S. Kaplan
Kaplan, Robert S. "A Stochastic Model for Auditing." Journal of Accounting Research 11 (spring 1973): 38–46.
- March 1970
- Journal Article
A Dynamic Inventory Model with Stochastic Lead Times
By: Robert S. Kaplan
Kaplan, Robert S. "A Dynamic Inventory Model with Stochastic Lead Times." Management Science 16 (March 1970): 491–507.
- February 1991
- Article
Stochastic Models of Interpurchase Time with Time-Dependent Covariates
By: Sunil Gupta
Gupta, Sunil. "Stochastic Models of Interpurchase Time with Time-Dependent Covariates." Journal of Marketing Research (JMR) 28 (February 1991): 1–15.
- December 1987
- Article
A Stochastic Three-Way Unfolding Model for Asymmetric Binary Data
By: Wayne S. DeSarbo, Donald R. Lehmann, Morris B. Holbrook, William J. Havlena and Sunil Gupta
DeSarbo, Wayne S., Donald R. Lehmann, Morris B. Holbrook, William J. Havlena, and Sunil Gupta. "A Stochastic Three-Way Unfolding Model for Asymmetric Binary Data." Applied Psychological Measurement 11 (December 1987): 397–418.
- Article
A Stochastic Programming Model for Commercial Bank Bond Portfolio Management
By: D. B. Crane
Crane, D. B. "A Stochastic Programming Model for Commercial Bank Bond Portfolio Management." Journal of Financial and Quantitative Analysis 6, no. 3 (June 1971).
- 2015
- Chapter
Optimal Process Control of Symbolic Transfer Functions
By: Christopher Griffin and Elisabeth Paulson
Transfer function modeling is a standard technique in classical Linear Time Invariant and Statistical Process Control. The work of Box and Jenkins was seminal in developing methods for identifying parameters associated with classical (r, s, k) transfer functions.... View Details
Keywords: Transfer Functions; Markov Processes; Stochastic Models; Process Control; Research; Information Technology
Griffin, Christopher, and Elisabeth Paulson. "Optimal Process Control of Symbolic Transfer Functions." In Proceedings of the 10th International Workshop on Feedback Computing. IEEE, 2015.
- November–December 2015
- Article
Active Postmarketing Drug Surveillance for Multiple Adverse Events
By: Joel Goh, Margrét V. Bjarnadóttir, Mohsen Bayati and Stefanos A. Zenios
Postmarketing drug surveillance is the process of monitoring the adverse events of pharmaceutical or medical devices after they are approved by the appropriate regulatory authorities. Historically, such surveillance was based on voluntary reports by medical... View Details
Keywords: Drug Surveillance; Health Care; Stochastic Models; Queueing; Diffusion Approximation; Brownian Motion; Health Care and Treatment; Analytics and Data Science; Analysis
Goh, Joel, Margrét V. Bjarnadóttir, Mohsen Bayati, and Stefanos A. Zenios. "Active Postmarketing Drug Surveillance for Multiple Adverse Events." Operations Research 63, no. 6 (November–December 2015): 1528–1546. (Finalist, 2012 INFORMS Health Applications Society Pierskalla Award.)
- Research Summary
Time Varying Expected Returns, Stochastic Dividend Yields, and Default Probabilities: Linking the Credit Risk and Equity Literature (with George Chacko and Jens Hilscher)
In standard structural bond pricing models, the firm defaults once the market value of assets has fallen below a threshold. Expected returns, or at least dividend yields, are assumed to be constant, which implies that any asset value movement is permanent and has the... View Details
- 1980
- Working Paper
Components of Manufacturing Inventories: A Structural Model of the Production Process
By: Alan J. Auerbach and Jerry R. Green
This paper presents a structural model of production and inventory accumulation based on the hypothesis of cost minimization. It differs from previous attempts in several respects. First, it integrates the analysis of input inventories with output inventories, treating... View Details
Auerbach, Alan J., and Jerry R. Green. "Components of Manufacturing Inventories: A Structural Model of the Production Process." NBER Working Paper Series, No. 491, June 1980.
- July–August 2011
- Article
Robust Optimization Made Easy with ROME
By: Joel Goh and Melvyn Sim
We introduce ROME, an algebraic modeling toolbox for a class of robust optimization problems. ROME serves as an intermediate layer between the modeler and optimization solver engines, allowing modelers to express robust optimization problems in a mathematically... View Details
Keywords: Robust Optimization; Algebraic Modeling Toolbox; MATLAB; Stochastic Programming; Decision Rules; Inventory Control; PERT; Project Management; Portfolio Optimization; Information Technology; Mathematical Methods; Operations
Goh, Joel, and Melvyn Sim. "Robust Optimization Made Easy with ROME." Operations Research 59, no. 4 (July–August 2011): 973–985.
- 2019
- Working Paper
Managing Churn to Maximize Profits
By: Aurelie Lemmens and Sunil Gupta
Customer defection threatens many industries, prompting companies to deploy targeted, proactive customer retention programs and offers. A conventional approach has been to target customers either based on their predicted churn probability, or their responsiveness to a... View Details
Keywords: Churn Management; Defection Prediction; Loss Function; Stochastic Gradient Boosting; Customer Relationship Management; Consumer Behavior; Profit
Lemmens, Aurelie, and Sunil Gupta. "Managing Churn to Maximize Profits." Harvard Business School Working Paper, No. 14-020, September 2013. (Revised December 2019. Forthcoming at Marketing Science.)
- September–October 2020
- Article
Managing Churn to Maximize Profits
By: Aurelie Lemmens and Sunil Gupta
Customer defection threatens many industries, prompting companies to deploy targeted, proactive customer retention programs and offers. A conventional approach has been to target customers either based on their predicted churn probability or their responsiveness to a... View Details
Keywords: Churn Management; Defection Prediction; Loss Function; Stochastic Gradient Boosting; Customer Relationship Management; Consumer Behavior; Profit
Lemmens, Aurelie, and Sunil Gupta. "Managing Churn to Maximize Profits." Marketing Science 39, no. 5 (September–October 2020): 956–973.
- Article
Analyzing Scrip Systems
By: Kris Johnson, David Simchi-Levi and Peng Sun
Scrip systems provide a nonmonetary trade economy for exchange of resources. We model a scrip system as a stochastic game and study system design issues on selection rules to match potential trade partners over time. We show the optimality of one particular rule in... View Details
Keywords: "Repeated Games"; Stochastic Trust Game; Dynamic Program; P2P Lending; Scrip Systems; Artificial Currency; Non-monetary Trade Economies; Marketplace Matching; Currency; Operations; Game Theory
Johnson, Kris, David Simchi-Levi, and Peng Sun. "Analyzing Scrip Systems." Operations Research 62, no. 3 (May–June 2014): 524–534.
- 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
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.
- Teaching
Overview
In the MBA program, Professor Fearing teaches Technology and Operations Management (TOM), a required first-year MBA course.
In January 2013 he traveled with a cohort of... View Details
In January 2013 he traveled with a cohort of... View Details
- Research Summary
Working Hard and Investing for an Early Retirement
I examine consumption, leisure, and portfolio choices made over the life-cycle using a model allowing for semi-flexible leisure and an endogenously chosen retirement date. Under a Cobb-Douglas utility specification, I present closed-form expressions for optimal... View Details
- 2014
- Working Paper
De Gustibus non est Taxandum: Heterogeneity in Preferences and Optimal Redistribution
By: Benjamin B Lockwood and Matthew Weinzierl
The prominent but unproven intuition that preference heterogeneity reduces redistribution in a standard optimal tax model is shown to hold under the plausible condition that the distribution of preferences for consumption relative to leisure rises, in terms of... View Details
Lockwood, Benjamin B., and Matthew Weinzierl. "De Gustibus non est Taxandum: Heterogeneity in Preferences and Optimal Redistribution." Harvard Business School Working Paper, No. 12-063, January 2012. (Updated September 2014. NBER Working Paper Series, No. 17784. Published in Journal of Public Economics.)