# Conditionality principle under unconstrained randomness

arXiv: https://arxiv.org/abs/2402.04859 · HTML: https://mlsanity.com/paper/2402.04859/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 7 Feb 2024.

## Built on by (most cited first, 1 of 1)

- [Universality of conformal prediction under the assumption of randomness](https://mlsanity.com/paper/2502.19254/) (2025)

## Abstract (arXiv)

A very simple example demonstrates that Fisher's application of the conditionality principle to regression ("fixed-x regression"), endorsed by Sprott and many other followers, makes prediction impossible in the context of statistical learning theory. On the other hand, relaxing the requirement of conditionality makes it possible via, e.g., conformal prediction.