首页   按字顺浏览 期刊浏览 卷期浏览 Mean Streets: The Median of a Size-Biased Sample and the Population Mean
Mean Streets: The Median of a Size-Biased Sample and the Population Mean

 

作者: Woollcott Smith,   Milton Parnes,  

 

期刊: The American Statistician  (Taylor Available online 1994)
卷期: Volume 48, issue 2  

页码: 106-110

 

ISSN:0003-1305

 

年代: 1994

 

DOI:10.1080/00031305.1994.10476034

 

出版商: Taylor & Francis Group

 

关键词: Point processes;Sampled Poisson process;Weighted distributions

 

数据来源: Taylor

 

摘要:

In a size-biased or weighted sample, the probability that a unit is sampled depends on a property of the sampling unit. Cars sampled by an observer traveling at a fixed velocity, v0, can be modeled as a size-biased sample because a car with a large absolute difference between its velocity and v0, is more likely to be sampled. A consistent estimator of the population mean velocity is found that depends solely on counts of the number of cars the observer passes and the number of cars that pass the observer. This estimator has the unusual property that when counts of passed and passing cars are equal, the sample median velocity and the estimated population mean velocity are both the observer's velocity, v0.

 

点击下载:  PDF (520KB)



返 回