Optimizing Individual-Level Models for Group-Level Predictions.
Part 2 — The Median of a Sum of Independent Identically Distributed

Introduction In Part 1 — An Analysis of Bias I explored bias in group-level predictions coming from individual-level models. There I used the following theorem by Peter Hall (“On the Limiting Behaviour of the Mode and Median of a Sum of Independent Variables”¹): But why is that true? I found Hall’s paper to be somewhat difficult to read more…