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Publications

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  • All HBS Web  (143)
    • News  (52)
    • Research  (43)
    • Multimedia  (10)
  • Faculty Publications  (40)

Show Results For

  • All HBS Web  (143)
    • News  (52)
    • Research  (43)
    • Multimedia  (10)
  • Faculty Publications  (40)
← Page 2 of 143 Results →
  • Article

Asymptotic Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions

By: Daniel M. Kane and Scott Duke Kominers
For relatively prime positive integers and r, we consider the least common multiple L_n:=\mathop{\textrm{lcm}}(u_0,u_1,\dots, u_n) of the finite arithmetic progression \{u_k:=u_0+kr\}_{k=0}^n. We derive new lower bounds on L_n that improve upon those obtained... View Details
Keywords: Mathematical Methods
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Kane, Daniel M., and Scott Duke Kominers. "Asymptotic Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions." Canadian Mathematical Bulletin 57, no. 3 (September 2014): 551–561.
  • 10 Jul 2014
  • News

How Harvard Medical School Uses Open Innovation To Solve World-Class Scientific Problems

  • March 2022 (Revised January 2025)
  • Technical Note

Linear Regression

By: Iavor I. Bojinov, Michael Parzen and Paul Hamilton
This note provides an overview of linear regression for an introductory data science course. It begins with a discussion of correlation, and explains why correlation does not necessarily imply causation. The note then describes the method of least squares, and how to... View Details
Keywords: Data Science; Linear Regression; Mathematical Modeling; Mathematical Methods; Analytics and Data Science
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Bojinov, Iavor I., Michael Parzen, and Paul Hamilton. "Linear Regression." Harvard Business School Technical Note 622-100, March 2022. (Revised January 2025.)
  • March 2022 (Revised January 2025)
  • Technical Note

Statistical Inference

By: Iavor I. Bojinov, Michael Parzen and Paul Hamilton
This note provides an overview of statistical inference for an introductory data science course. First, the note discusses samples and populations. Next the note describes how to calculate confidence intervals for means and proportions. Then it walks through the logic... View Details
Keywords: Data Science; Statistics; Mathematical Modeling; Mathematical Methods; Analytics and Data Science
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Bojinov, Iavor I., Michael Parzen, and Paul Hamilton. "Statistical Inference." Harvard Business School Technical Note 622-099, March 2022. (Revised January 2025.)
  • January 2021
  • Case

The FIRE Savings Calculator

By: Michael Parzen and Paul Hamilton
This case follows Carol Muñoz, a member of the Financial Independence, Retire Early (FIRE) lifestyle movement. At the age of 45, Carol is considering retiring and living off the $1 million she has accumulated. Using Monte Carlo simulation, Carol forecasts the... View Details
Keywords: Analysis; Forecasting and Prediction; Financial Strategy; Investment Portfolio; Investment Return; Personal Finance; Saving; Risk and Uncertainty; Diversification; Theory; Personal Development and Career; Financial Services Industry
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Parzen, Michael, and Paul Hamilton. "The FIRE Savings Calculator." Harvard Business School Case 621-087, January 2021.
  • 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
Keywords: Analysis; Risk and Uncertainty; Theory; Analytics and Data Science
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Parzen, Michael, and Paul Hamilton. "Probability Distributions." Harvard Business School Technical Note 621-704, February 2021.
  • June 2021
  • Technical Note

Introduction to Linear Regression

By: Michael Parzen and Paul Hamilton
This technical note introduces (from an applied point of view) the theory and application of simple and multiple linear regression. The motivation for the model is introduced, as well as how to interpret the summary output with regard to prediction and statistical... View Details
Keywords: Linear Regression; Regression; Analysis; Forecasting and Prediction; Risk and Uncertainty; Theory; Compensation and Benefits; Mathematical Methods; Analytics and Data Science
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Parzen, Michael, and Paul Hamilton. "Introduction to Linear Regression." Harvard Business School Technical Note 621-086, June 2021.
  • 2009
  • Working Paper

Corrigendum to 'Resource-Monotonicity for House Allocation Problems'

By: Bettina-Elisabeth Klaus and Lars Ehlers

Ehlers and Klaus (2003) study so-called house allocation problems and claim to characterize all rules satisfying efficiency, independence of irrelevant objects, and resource-monotonicity on two preference domains (Ehlers and Klaus, 2003, Theorem 1).... View Details

Keywords: Equality and Inequality; Resource Allocation
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Klaus, Bettina-Elisabeth, and Lars Ehlers. "Corrigendum to 'Resource-Monotonicity for House Allocation Problems'." Harvard Business School Working Paper, No. 09-110, March 2009.
  • 2021
  • Article

Prisoners, Rooms, and Lightswitches

By: Daniel M. Kane and Scott Duke Kominers
We examine a new variant of the classic prisoners and lightswitches puzzle: A warden leads his n prisoners in and out of r rooms, one at a time, in some order, with each prisoner eventually visiting every room an arbitrarily large number of times. The... View Details
Keywords: Mathematical Methods
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Kane, Daniel M., and Scott Duke Kominers. "Prisoners, Rooms, and Lightswitches." Electronic Journal of Combinatorics 28, no. 1 (2021).
  • March 2015 (Revised January 2024)
  • Case

CV Ingenuity (A): How to Evaluate the Commercial Viability of New Health Care Technologies

By: Regina E. Herzlinger and Andrew Otazo
Duke Rohlen (HBS MBA ’01) hoped to win over a prominent venture capital investor for Series B financing of his firm CVI that was creating a drug-eluting balloon (DES) to treat peripheral arterial disease. As a second-mover, Duke felt he was more likely to acquire... View Details
Keywords: CV Ingenuity; CVI; Drug Eluting Balloon; DEB; Drug Eluting Stent; Angioplasty Balloon; FoxHollow; Medical Device; Medical Device Startup; Premarket Approval; PMA; Lutonix; Stellarex; LEVANT; ILLUMENATE; Clinical Trials; Peripheral Arterial Disease; PAD; Healthcare Startups; Covidien; Health Care and Treatment; Health Testing and Trials; Business Startups; Commercialization; Health Industry; Medical Devices and Supplies Industry; United States; Europe
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Herzlinger, Regina E., and Andrew Otazo. "CV Ingenuity (A): How to Evaluate the Commercial Viability of New Health Care Technologies." Harvard Business School Case 315-045, March 2015. (Revised January 2024.)
  • March 2022
  • Article

Estimating the Effectiveness of Permanent Price Reductions for Competing Products Using Multivariate Bayesian Structural Time Series Models

By: Fiammetta Menchetti and Iavor Bojinov
Researchers regularly use synthetic control methods for estimating causal effects when a sub-set of units receive a single persistent treatment, and the rest are unaffected by the change. In many applications, however, units not assigned to treatment are nevertheless... View Details
Keywords: Causal Inference; Partial Interference; Synthetic Controls; Bayesian Structural Time Series; Mathematical Methods
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Menchetti, Fiammetta, and Iavor Bojinov. "Estimating the Effectiveness of Permanent Price Reductions for Competing Products Using Multivariate Bayesian Structural Time Series Models." Annals of Applied Statistics 16, no. 1 (March 2022): 414–435.
  • Person Page

Source Code

 

torfason.igraph.utils

This is set of utility functions written while working on “Organizing the... View Details

  • 15 Mar 2024
  • News

Let's Talk: Why It's Time to Stop Avoiding Taboo Topics at Work

  • October–December 2022
  • Article

How Psychological Safety and Feeling Heard Relate to Burnout and Adaptation Amid Uncertainty

By: Michaela J. Kerrissey, Tuna Cem Hayirli, Aditi Bhanja, Nicholas Stark, James Hardy and Christopher Peabody
Background: Psychological safety—the belief that it is safe to speak up—is vital amid uncertainty, but its relationship to feeling heard is not well understood.
Purpose: The aims of this study were (a) to measure feeling heard and (b) to assess... View Details
Keywords: Burnout; Crisis; Psychological Safety; Feeling Heard; Process Adaptation; Interpersonal Communication; Well-being; Health Care and Treatment; Adaptation
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Kerrissey, Michaela J., Tuna Cem Hayirli, Aditi Bhanja, Nicholas Stark, James Hardy, and Christopher Peabody. "How Psychological Safety and Feeling Heard Relate to Burnout and Adaptation Amid Uncertainty." Health Care Management Review 47, no. 4 (October–December 2022): 308–316.
  • Web

Hiring Organizations

Employment Data Hiring Organizations Employment Data Hiring Organizations The below organizations hired an MBA graduate from the Class of 2024 or a summer intern from the Class of 2025. A B C D E F G H I J K L M N O P Q R S T U V W X Y Z... View Details
  • January 2009 (Revised June 2010)
  • Case

Cisco Systems (2001): Building and Sustaining a Customer-Centric Culture

By: Ranjay Gulati
Customer centricity has been an important part of the culture at Cisco Systems since its inception. While part of this is attributable to values put in place by the founders and retained by subsequent management, it is also closely interwoven with its organizational... View Details
Keywords: Customer Satisfaction; Organizational Design; Organizational Structure; Organizational Change and Adaptation; Change Management; Organizational Culture; Research and Development; Job Cuts and Outsourcing; Employees; Brands and Branding; Customer Relationship Management; Business Units
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Gulati, Ranjay. "Cisco Systems (2001): Building and Sustaining a Customer-Centric Culture." Harvard Business School Case 409-061, January 2009. (Revised June 2010.)
  • Web

Great American Business Leaders of the 20th Century - Leadership

Great American Business Leaders of the 20th Century Request the Data A B C D E F G H I J K L M N O P Q R S T U V W X Y Z A Robert S. Abbott Chicago Defender, 1905–1940 Benjamin Abrams Emerson Radio & Phonograph Corporation, 1922–1966... View Details
  • TeachingInterests

Data Science for Managers

  • Served as a teaching fellow; assisted MBA students with classroom coding exercises. 
  • Developed course materials, including new case studies, technical notes, and code notebooks students used to analzye case data. 
  • Developed interactive web... View Details
  • Web

Entrepreneurial Management - Faculty & Research

decades. Keywords: Technology ; Geography ; Innovation ; R D ; Technological Innovation ; Research and Development ; Employment ; Geographic Location Citation Purchase Related Kalyani, Aakash, Marcela Carvalho, Nicholas Bloom, Tarek... View Details
  • 03 Oct 2023
  • Research Event

Build the Life You Want: Arthur Brooks and Oprah Winfrey Share Happiness Tips

10 people closest to you that you see most in your life. And after each one of their names, write R or D. That does not mean Republican or Democrat. Right. That means real or deal. If you've got too many D's in there, you need to go out... View Details
Keywords: by HBS Staff
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