Confident estimation for density of a biological population based on line transect sampling |
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Authors: | Ren-bin Gong Yun-bei Ma Yong Zhou |
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Affiliation: | [1]Research Institute of Petroleum Exploration and Development Northwest, Gansu 730020, China [2]Academy of Mathematics and System Science. Chinese Academy of Science, Beijing 100190, China [3]Department of Statistics, Shanghai University of Finance and Economics, Shanghai 200433, China |
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Abstract: | 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. |
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Keywords: | Line transect sampling Confident interval estimation Stopping rule Bias reduction |
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