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政大機構典藏 > 商學院 > 統計學系 > 期刊論文 > Item 140.119/66877

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题名:	Sequential Sampling in the Search for New Shared Species
作者:	余清祥 Yue, Jack C.;Clayton, Murray K.
贡献者:	統計系
关键词:	Optimal stopping;Comparing populations;Similarity index;Discovering new species;Simulation
日期:	2012.05
上传时间:	2014-06-24 14:58:55 (UTC+8)
摘要:	In microbial sciences, as well as other disciplines, it is often valuable to sample communities in a sequential or group sequential manner, in order to determine their structure or their similarity. We develop sequential sampling procedures to accomplish this by first assuming that one observation is drawn with replacement from each population at a time. Suppose that the sampling is terminated after n pairs of observations and k shared species were discovered, and assume that we receive payoff h(k)−cn, where h(k) is non-decreasing and the sampling cost c is non-negative. Similar to Rasmussen and Starr (1979), we show that an optimal stopping rule exists if h(k+1)−h(k) is non-increasing. An analogous result holds for group sequential sampling. This leads to using an estimate of the probability of discovering new shared species as a stopping indicator for comparing two populations with respect to the similarity index. We show by simulation and real examples that this is a feasible approach which can help to reduce the sample size.
關聯:	Journal of Statistical Planning and Inference, 142(5), 1031-1039
数据类型:	article
DOI 連結:	http://dx.doi.org/10.1016/j.jspi.2011.10.006
DOI:	10.1016/j.jspi.2011.10.006
显示于类别:	[統計學系] 期刊論文

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