Related Experiment Video
Updated: Oct 11, 2025

Establishing a Competing Risk Regression Nomogram Model for Survival Data
Published on: October 23, 2020
Highway-rail grade crossings accident prediction using Zero Inflated Negative Binomial and Empirical Bayes method
Jacob Mathew1, Rahim F Benekohal1
1Newmark Civil Engineering Lab, 205 N Mathews Ave., University of Illinois at Urbana-Champaign, Illinois 61820, United States.
The ZINEBS model improves railroad crossing accident prediction by using separate equations for different warning devices, unlike the Federal Railroad Administration
Area of Science:
- Transportation Safety
- Statistical Modeling
- Road Safety Engineering
Background:
- The Federal Railroad Administration (FRA) developed a new accident prediction model for railroad grade crossings.
- This model utilizes a Zero Inflated Negative Binomial (ZINB) with Empirical Bayes (EB) adjustments.
- A limitation of the FRA model is its single equation for all warning devices, potentially misrepresenting field conditions.
Purpose of the Study:
- To introduce and evaluate the ZINEBS model for railroad grade crossing accident prediction.
- To address the limitations of the current FRA model by incorporating device-specific variables.
- To improve the accuracy of accident frequency predictions based on warning device types.
Main Methods:
- Development of the Zero Inflated Negative Binomial with Empirical Bayes adjustment System (ZINEBS) model.
- Implementation of three distinct equations within ZINEBS, tailored to specific warning devices (gates, flashing lights, crossbucks).
- Comparison of ZINEBS model predictions against field data and the existing FRA model.
Main Results:
- The ZINEBS model provides predictions that more closely align with field data compared to the FRA model.
- This improved accuracy was consistent across all three analyzed warning device types.
- The study highlights that device-specific variables enhance prediction accuracy.
Conclusions:
- The ZINEBS model offers a more accurate approach to predicting railroad crossing accidents than the current FRA model.
- ZINEBS complements the FRA model, particularly when specific traffic control device characteristics are crucial.
- The findings suggest that accounting for device-specific variables leads to better safety predictions.
Related Concept Videos
Determination of Expected Frequency
Hazard Rate
Hypothesis Test for Test of Independence
H0: The two variables (factors)...
Parametric Survival Analysis: Weibull and Exponential Methods
Weibull Distribution
The Weibull distribution is a flexible model used in parametric survival analysis. It can handle both increasing and decreasing hazard rates, depending on its shape parameter...
Mechanistic Models: Compartment Models in Individual and Population Analysis
Actuarial Approach
Consider the example of a high-risk surgical procedure with significant early-stage mortality. A two-year clinical study is conducted,...
