Detecting Changes in Production Frontier and Beyond

Add to your list(s) Download to your calendar using vCal

• Yining Chen (LSE)
• Friday 13 June 2025, 14:00-15:00
• MR12, Centre for Mathematical Sciences.

If you have a question about this talk, please contact Qingyuan Zhao.

In this talk, we first give a brief review of the nonparametric estimation problem of production frontier function, which concerns the maximum possible output given input levels and the efficiency of the firms. We then look at how multiple changes over time in the production frontier can be detected. By assuming that the frontier always shifts upwards over time, which is plausible thanks to the advance in technologies, we can detect changes in the frontier at the near-optimal rate under regularity conditions, irrelevant of the dimensionality of the input. This can be achieved by modifying and utilising the well-known Free Disposal Hull (FDH) or Data Envelopment Analysis (DEA) algorithm in different ways, depending on whether the shift is local or global. Finally, we discuss how the confidence intervals for both the location of the change and the frontier can be constructed. For the latter, we also illustrate how nuisance parameters in the limit distribution can be eliminated by taking advantage of the structure of the FDH , and demonstrate how this idea can be useful for other problems such as testing the shape of the frontier.

This talk is part of the Statistics series.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• Cambridge Forum of Science and Humanities
• Cambridge Language Sciences
• Cambridge talks
• Chris Davis' list
• DPMMS Lists
• DPMMS info aggregator
• DPMMS lists
• Guy Emerson's list
• Hanchen DaDaDash
• Interested Talks
• MR12, Centre for Mathematical Sciences
• Machine Learning
• School of Physical Sciences
• Statistical Laboratory info aggregator
• Statistics
• Statistics Group
• bld31
• custom
• rp587

Note that ex-directory lists are not shown.