| Abstract: | A general mathematical theory of line transects is developed which supplies a framework for nonparametric density estimation based on either right angle or sighting distances. The probability of observing a point given its right angle distance (y) from the line is generalized to an arbitrary function g(y). Given only that g(0) = 1, it is shown there are nonparametric approaches to density estimation using the observed right angle distances. The model is then generalized to include sighting distances (r). Let f(y I r) be the conditional distribution of right angle distance given sighting distance. It is shown that nonparametric estimation based only on sighting distances requires we know the transformation of r given by f(0 I r). |
| Genre: | Article |
| ProdID: | 5220997 |
| Citation Author: | Burnham, K.P.; Anderson, D.R. |
| Citation Contributing Office: | Patuxent Wildlife Research Center |
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| Citation End Page: | 336 |
| Citation Issue: | 2 |
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| Citation Language: | English |
| Citation Larger Work Title: | Biometrics |
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| Citation Number Of Pages: | 12 |
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| Citation Phsyical Description: | 325-336 |
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| Citation Search Results Text: | Mathematical models for non-parametric inferences from line transect data; 1976; Article; Journal; Biometrics; Burnham, K.P.; Anderson, D.R. |
| Citation Start Page: | 325 |
| Citation Volume: | 32 |
| Citation Year: | 1976 |
| Type: | citation/reference |
| Text: | Mathematical models for non-parametric inferences from line transect data; 1976; Article; Journal; Biometrics; Burnham, K.P.; Anderson, D.R. |
| URL (THUMBNAIL): | http://pubs.er.usgs.gov/thumbnails/outside_thumb.jpg |
| URL (DOCUMENT): | http://www.jstor.org/stable/2529501 |
| Date Other: | Wed, 16 Jun 2010 12:19 -0500 |
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