---
title: Nonparametric Bounds for the Risk Function.
description: >-
  Explore this publication on real-world evidence: Nonparametric Bounds for the
  Risk Function..
date: '2019-01-01'
category: Publications
tags:
  - M Alan Brookhart
  - University of North Carolina at Chapel Hill
  - Approval & Commercialization
  - 'Yes'
  - Oral Presentation
  - R&D
canonical_url: >-
  https://www.headwaterscience.com/resources/publications/author-m-alan-brookhart/nonparametric-bounds-for-the-risk-function/
source: Headwater
license: © 2026 Headwater. All rights reserved.
slug: nonparametric-bounds-for-the-risk-function
id: 4Z6pJRMYfWfYFw8NGBkiAD
contentType: article
---

## Challenge

Nonparametric bounds for risk functions—which characterize the range of causal effects consistent with observed data under partial identification—had not been derived in a form accessible for applied epidemiologic use.

## Solution

Target RWE researchers and UNC collaborators derived and published nonparametric bounds for the risk function, providing an accessible framework for epidemiologists to quantify the range of causal risk differences consistent with observed data.

## Use Cases/Links

[Read the publication](https://doi.org/10.1093/aje/kwz013)