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Updated: Jul 8, 2026

Measuring Delay Discounting in Humans Using an Adjusting Amount Task
Published on: January 9, 2016
A double-nonparametric procedure for estimating the number of delay-reported cases
Huazhen Lin1, Paul S F Yip, Richard M Huggins
1School of Mathematics, Sichuan University, Chengdu, China.
This study introduces a novel double-nonparametric method for estimating population size using reporting delay data. This approach improves accuracy and surveillance in public health systems.
Area of Science:
- Epidemiology
- Biostatistics
- Statistical Modeling
Background:
- Accurate population size estimation is crucial for public health surveillance.
- Reporting delays in data collection can significantly bias population estimates.
- Existing methods often require assumptions about incidence and delay distributions.
Purpose of the Study:
- To develop a robust method for estimating population size from data with reporting delays.
- To overcome limitations of existing methods by not requiring specification of incidence or delay distributions.
- To enhance the accuracy of public health monitoring and surveillance systems.
Main Methods:
- A double-nonparametric procedure was developed for population size estimation.
- Asymptotic results were derived to validate the proposed estimator.
- Simulation studies were conducted to compare the new method with existing procedures.
Main Results:
- The proposed double-nonparametric procedure demonstrated superior performance compared to existing methods.
- The method provides accurate population size estimates even with unspecified incidence and delay distributions.
- The estimator's asymptotic properties were theoretically established.
Conclusions:
- The developed double-nonparametric method offers a more reliable approach to population size estimation with reporting delays.
- This technique can improve the precision of monitoring and surveillance for various public health issues.
- The method was successfully applied to a suicide reporting system, demonstrating practical utility.
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