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- All HBS Web
(1,784)
- People (5)
- News (661)
- Research (976)
- Events (6)
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- Faculty Publications (289)
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- 2018
- Working Paper
Averaging Probability Forecasts: Back to the Future
By: Robert L. Winkler, Yael Grushka-Cockayne, Kenneth C. Lichtendahl Jr. and Victor Richmond R. Jose
The use and aggregation of probability forecasts in practice is on the rise. In this position piece, we explore some recent, and not so recent, developments concerning the use of probability forecasts in decision-making. Despite these advances, challenges still exist.... View Details
Keywords: Probability Forecast; Forecast Combination; Forecast Evaluation; Decision Analysis; Forecasting and Prediction; Decision Making; Analysis
Winkler, Robert L., Yael Grushka-Cockayne, Kenneth C. Lichtendahl Jr., and Victor Richmond R. Jose. "Averaging Probability Forecasts: Back to the Future." Harvard Business School Working Paper, No. 19-039, October 2018.
- Article
Is it Better to Average Probabilities or Quantiles?
By: Kenneth C. Lichtendahl, Yael Grushka-Cockayne and Robert L. Winkler
We consider two ways to aggregate expert opinions using simple averages: averaging probabilities and averaging quantiles. We examine analytical properties of these forecasts and compare their ability to harness the wisdom of the crowd. In terms of location, the two... View Details
Keywords: Probability Forecasts; Quantile Forecasts; Expert Combination; Linear Opinion Pooling; Forecasting and Prediction
Lichtendahl, Kenneth C., Yael Grushka-Cockayne, and Robert L. Winkler. "Is it Better to Average Probabilities or Quantiles?" Management Science 59, no. 7 (July 2013): 1594–1611.
- February 2021
- Technical Note
Probability Distributions
By: Michael Parzen and Paul Hamilton
This technical note introduces students to the concept of random variables, and from there the normal and binomial distributions. After a brief introduction to random variables, the note describes the standard properties of the normal distribution: a single peak, and a... View Details
Parzen, Michael, and Paul Hamilton. "Probability Distributions." Harvard Business School Technical Note 621-704, February 2021.
- August 1974
- Background Note
Describing Probability Distributions
Jackson, Barbara B. "Describing Probability Distributions." Harvard Business School Background Note 175-036, August 1974.
- August 2006
- Article
Confidence Intervals for Probabilities of Default
By: Samuel G. Hanson and Til Schuermann
In this paper we conduct a systematic comparison of confidence intervals around estimated probabilities of default (PD) using several analytical approaches as well as parametric and nonparametric bootstrap methods. We do so for two different PD estimation... View Details
Hanson, Samuel G., and Til Schuermann. "Confidence Intervals for Probabilities of Default." Journal of Banking & Finance 30, no. 8 (August 2006).
- 10 Dec 2015
- Working Paper Summaries
The Probability of Rare Disasters: Estimation and Implications
- 20 Jun 2016
- Research & Ideas
When Predicting Other People's Preferences, You're Probably Wrong
terminally ill patient, based on the patient’s previous choices—neglecting to discuss more palliative options. And if you knew nothing of Leslie John other than her guilty pleasure of watching The Bachelor, you’d probably predict that she... View Details
- 20 Jun 2016
- News
When Predicting Other People's Preferences, You're Probably Wrong
- 28 Feb 2024
- Podcast
Visualizing our Changing Climate with Probable Futures
In this first episode of our series on adaptation, host Mike Toffel sits down with Spencer Glendon and Alison Smart of Probable Futures. They discuss how Probable Futures tools are educating decision makers to better understand how their organizations will experience... View Details
- 2007
- Other Unpublished Work
Probabilities as Similarity-Weighted Frequencies in Presence of Irrelevant Observations
By: Jacob Dov Leshno
A decision maker is asked to express her beliefs by assigning probabilities to certain possible states. We focus on the relationship between her database and her beliefs. BGSS\cite{BGSS} show that if beliefs given a union of two databases are a convex combination of... View Details
- May 1974 (Revised December 1974)
- Background Note
Assessing Probability Distributions for Uncertain Quantities
Jackson, Barbara B. "Assessing Probability Distributions for Uncertain Quantities." Harvard Business School Background Note 174-193, May 1974. (Revised December 1974.)
- 2015
- Working Paper
The Probability of Rare Disasters: Estimation and Implications
By: Emil Siriwardane
I analyze a rare disasters economy that yields a measure of the risk neutral probability of a macroeconomic disaster, p*t. A large panel of options data provides strong evidence that p*t is the single factor driving option-implied jump risk measures in the cross... View Details
Siriwardane, Emil. "The Probability of Rare Disasters: Estimation and Implications." Harvard Business School Working Paper, No. 16-061, November 2015.
- 09 Aug 2017
- Sharpening Your Skills
Productivity Tips You Probably Haven't Considered Before
Source: rawpixel Hit a wall trying to increase your productivity? Recent research by Harvard Business School professors might help. The following articles address some basic questions: Should we deal with easy tasks first? Do employees know better than management about... View Details
Keywords: by Sean Silverthorne
- 22 Jun 2017
- News
The Talent Pool Your Company Probably Overlooks
- Article
Bringing Probability Judgments into Policy Debates via Forecasting Tournaments
By: Philip E. Tetlock, Barbara A. Mellers and J. Peter Scoblic
Political debates often suffer from vague-verbiage predictions that make it difficult to assess accuracy and improve policy. A tournament sponsored by the U.S. intelligence community revealed ways in which forecasters can better use probability estimates to make... View Details
Keywords: Tournaments; Politics; Depolarization; Knowledge Creation; Forecasting and Prediction; Government and Politics
Tetlock, Philip E., Barbara A. Mellers, and J. Peter Scoblic. "Bringing Probability Judgments into Policy Debates via Forecasting Tournaments." Science 355, no. 6324 (February 3, 2017): 481–483.
- 02 Nov 2021
- News
Why COVID-19 Probably Killed More People Than We Realize
- Teaching
Overview
Graduate student instructor, Introduction to Statistics, 2002
Reader, Introduction to Time Series, 2003
Reader, Introductory Probability Theory, 2001 View Details
Reader, Introduction to Time Series, 2003
Reader, Introductory Probability Theory, 2001 View Details
- Article
Third-Party Punishment as a Costly Signal of High Continuation Probabilities in Repeated Games
By: Jillian J. Jordan and David G. Rand
Why do individuals pay costs to punish selfish behavior, even as third-party observers? A large body of research suggests that reputation plays an important role in motivating such third-party punishment (TPP). Here we focus on a recently proposed reputation-based... View Details
Jordan, Jillian J., and David G. Rand. "Third-Party Punishment as a Costly Signal of High Continuation Probabilities in Repeated Games." Journal of Theoretical Biology 421 (May 21, 2017): 189–202.
- 23 Mar 2022
- News