Density estimation for randomly distributed circular objects |
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| Authors: | V. R. Prayag Dr. A. P. Gore |
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| Affiliation: | (1) Department of Statistics, Modern College, 411005 Pune, India;(2) Department of Statistics, University of Poona, 411007 Pune, India |
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| Abstract: | Summary Nearest neighbour methods traditionally used to estimate density of a sessile biological population treat individuals as points. The present paper suggests distance-based density estimators which treat individuals as circles with variable areas. Distribution of distance between a sample point and thek-th (k = 1, 2, 3, …) nearest circle is derived. Maximum likelihood estimator of density is obtained from a random sample of point tok-th order distances. Assuming a skewed distribution for the circle radius, moment estimators of density and mean circle area are derived. |
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| Keywords: | Density estimation Nearest neighbour methods Random configuration |
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