Testing of Poisson mean with under-reported counts

IF 0.6 4区 数学 Q4 STATISTICS & PROBABILITY
Debjit Sengupta, Surupa Roy, Tathagata Banerjee
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引用次数: 0

Abstract

For modelling unbounded count data, Poisson distribution is a natural choice. However, count data arising in various fields of scientific research are often under-reported. In such situations, inference carried out on the basis of Poisson model will result in biased parameter estimates and suboptimal tests. A modified Poisson model is developed to accommodate the possible undercount. For model-identifiability a double sampling scheme of data collection has been adopted. The focus of this paper is to develop asymptotically optimal tests for the Poisson mean in presence of undercount. Simulation study is conducted to compare the performance of the tests with respect to level and power and also to investigate the impact of ignoring undercount on each of the tests. The findings are validated using real life data.
漏报计数的泊松平均值检验
对于无界计数数据的建模,泊松分布是一个自然的选择。然而,在科学研究的各个领域中产生的计数数据往往被低估。在这种情况下,基于泊松模型进行的推理将导致参数估计有偏差和次优测试。一个改进的泊松模型被开发以适应可能的低估。为了保证模型的可识别性,采用了双采样的数据采集方案。本文的重点是发展在计数不足的情况下泊松均值的渐近最优检验。进行模拟研究,比较测试在水平和功率方面的性能,并研究忽略漏计数对每个测试的影响。这些发现得到了现实生活数据的验证。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
1.60
自引率
10.00%
发文量
30
审稿时长
>12 weeks
期刊介绍: The Brazilian Journal of Probability and Statistics aims to publish high quality research papers in applied probability, applied statistics, computational statistics, mathematical statistics, probability theory and stochastic processes. More specifically, the following types of contributions will be considered: (i) Original articles dealing with methodological developments, comparison of competing techniques or their computational aspects. (ii) Original articles developing theoretical results. (iii) Articles that contain novel applications of existing methodologies to practical problems. For these papers the focus is in the importance and originality of the applied problem, as well as, applications of the best available methodologies to solve it. (iv) Survey articles containing a thorough coverage of topics of broad interest to probability and statistics. The journal will occasionally publish book reviews, invited papers and essays on the teaching of statistics.
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