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Comparison of Accuracy Properties of Point Estimators for the Ratio of Binomial Proportions with the Inverse-Direct Sampling Scheme
Lobachevskii Journal of Mathematics ( IF 0.8 ) Pub Date : 2020-07-29 , DOI: 10.1134/s1995080220040198 Parichart Pattarapanitchai , Thuntida Ngamkham , Kamon Budsaba , A. Volodin
中文翻译:
使用逆直接采样方案比较二项式比例的点估计器的精度属性
更新日期:2020-07-29
Lobachevskii Journal of Mathematics ( IF 0.8 ) Pub Date : 2020-07-29 , DOI: 10.1134/s1995080220040198 Parichart Pattarapanitchai , Thuntida Ngamkham , Kamon Budsaba , A. Volodin
Abstract
We continue our investigation into the estimation of the ratio of Binomial proportions. We concentrate on point estimation and its accuracy properties. A problem of the point estimation for a ratio of two proportions using data from two independent Bernoulli samples is considered. In this article we mostly discuss the case when the first sample is obtained using the Inverse sampling scheme and the second one using the Direct Binomial sampling scheme. Our goal is to show that the normal approximations, which are relatively simple, for estimates of the ratio are reliable for the construction of point estimators with reliable accuracy properties. The main criterion of our judgment is the bias and mean squared error. The main accuracy characteristics of estimators corresponding to all possible combinations of sampling schemes are investigated by the Monte-Carlo method. Mean values and mean squared errors of point estimators are collected in tables, and some recommendations for the application of each estimators are presented.中文翻译:
使用逆直接采样方案比较二项式比例的点估计器的精度属性