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Confident estimation for density of a biological population based on line transect sampling
Gong, Ren-bin; Ma, Yun-bei1; Zhou, Yong1,2
2010
发表期刊ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN0168-9673
卷号26期号:1页码:79-92
摘要Line transect sampling is a very useful method in survey of wildlife population. Confident interval estimation for density D of a biological population is proposed based on a sequential design. The survey area is occupied by the population whose size is unknown. A stopping rule is proposed by a kernel-based estimator of density function of the perpendicular data at a distance. With this stopping rule, we construct several confidence intervals for D by difference procedures. Some bias reduction techniques are used to modify the confidence intervals. These intervals provide the desired coverage probability as the bandwidth in the stopping rule approaches zero. A simulation study is also given to illustrate the performance of this proposed sequential kernel procedure.
关键词Line transect sampling Confident interval estimation Stopping rule Bias reduction
DOI10.1007/s10255-009-9008-2
语种英语
资助项目National Natural Science Funds for Distinguished Young Scholar[70825004] ; National Natural Science Foundation of China[10731010] ; National Natural Science Foundation of China[10628104] ; National Natural Science Foundation of China[10721101] ; Shanghai University of Finance and Economics
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000272628300007
出版者SPRINGER HEIDELBERG
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/9840
专题应用数学研究所
通讯作者Ma, Yun-bei
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Shanghai Univ Finance & Econ, Dept Stat, Shanghai 200433, Peoples R China
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GB/T 7714
Gong, Ren-bin,Ma, Yun-bei,Zhou, Yong. Confident estimation for density of a biological population based on line transect sampling[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2010,26(1):79-92.
APA Gong, Ren-bin,Ma, Yun-bei,&Zhou, Yong.(2010).Confident estimation for density of a biological population based on line transect sampling.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,26(1),79-92.
MLA Gong, Ren-bin,et al."Confident estimation for density of a biological population based on line transect sampling".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 26.1(2010):79-92.
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