Density estimation for randomly distributed circular objects

Prayag, V. R. ; Gore, A. P. (1990) Density estimation for randomly distributed circular objects Metrika, 37 (1). pp. 63-69. ISSN 0026-1335

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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 the k-th (k = 1, 2, 3,...) nearest circle is derived. Maximum likelihood estimator of density is obtained from a random sample of point to k-th order distances. Assuming a skewed distribution for the circle radius, moment estimators of density and mean circle area are derived.

Item Type:Article
Source:Copyright of this article belongs to Springer.
Keywords:Density Estimation; Nearest Neighbour Methods; Random Configuration
ID Code:69959
Deposited On:14 Nov 2011 09:13
Last Modified:14 Nov 2011 09:13

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