Population Size Estimation Using Zero-Truncated Poisson Regression with Measurement Error
| العنوان: | Population Size Estimation Using Zero-Truncated Poisson Regression with Measurement Error |
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| المؤلفون: | Wen-Han Hwang, Jakub Stoklosa, Ching-Yun Wang |
| المصدر: | J Agric Biol Environ Stat |
| بيانات النشر: | Springer Science and Business Media LLC, 2022. |
| سنة النشر: | 2022 |
| مصطلحات موضوعية: | Statistics and Probability, Applied Mathematics, Statistics, Probability and Uncertainty, General Agricultural and Biological Sciences, Agricultural and Biological Sciences (miscellaneous), Article, General Environmental Science |
| الوصف: | Population size estimation is an important research field in biological sciences. In practice, covariates are often measured upon capture on individuals sampled from the population. However, some biological measurements, such as body weight may vary over time within a subject’s capture history. This can be treated as a population size estimation problem in the presence of covariate measurement error. We show that if the unobserved true covariate and measurement error are both normally distributed, then a naïve estimator without taking into account measurement error will under-estimate the population size. We then develop new methods to correct for the effect of measurement errors. In particular, we present a conditional score and a nonparametric corrected score approach that are both consistent for population size estimation. Importantly, the proposed approaches do not require the distribution assumption on the true covariates, furthermore the latter does not require normality assumptions on the measurement errors. This is highly relevant in biological applications, as the distribution of covariates is often non-normal or unknown. We investigate finite sample performance of the new estimators via extensive simulated studies. The methods are applied to real data from a capture–recapture study. |
| تدمد: | 1537-2693 1085-7117 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f3132d6cba7d45b58413059e9a3180e8 https://doi.org/10.1007/s13253-021-00481-z |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....f3132d6cba7d45b58413059e9a3180e8 |
| قاعدة البيانات: | OpenAIRE |
Find this article in full text from Springer Verlag. | تدمد: | 15372693 10857117 |
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