KMS Of Academy of mathematics and systems sciences, CAS
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 |
ISSN | 0168-9673 |
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 |
DOI | 10.1007/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 |
推荐引用方式 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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