期刊名称：International Journal of Statistics and Probability
印刷版ISSN：1927-7032
电子版ISSN：1927-7040
出版年度：2021
卷号：10
期号：6
页码：5-21
语种：English
出版社：Canadian Center of Science and Education
摘要：Probability sample encounters the problems of increasing cost and nonresponse. The cost has rapidly been increasing in executing a large probability sample survey, and, for some surveys, response rate can be below the 10 percent level. Therefore, statisticians seek some alternative methods. One of them is to use a large nonprobability sample (村沛 ) supplemented by a small probability sample (漕2 ). Both samples are taken from the same population and they include common covariates, and a third sample (漕3 ) is created by combining these two samples; 漕1 can be biased and 漕2 may have large sample variance. These two problems are reduced by survey weights and combining the two samples. Although 漕2 is a small sample, it provides good properties of unbiasedness in estimation and of survey weights. With these known weights, we obtain adjusted sample weights (ASW), and create a sample model from a finite population model. We fit the sample model to obtain its parameters and generate values from the population model. Similarly, we repeat these processes for other two samples, 漕1 and 漕3 and for different statistical methods. We show reduced biases of the finite population means and reduced variances.as the combined sample size becomes large. We analyze sample data to show the reduction of these two errors.
