Density estimation for randomly distributed circular objects
Tóm tắt
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.
Tài liệu tham khảo
Byth K (1982) On robust distance based intensity estimators. Biometrics 38:127–135
Diggle PJ (1975) Robust density estimation using distance methods. Biometrika 62:39–48
Holgate P (1964) The efficiency of nearest neighbour estimators. Biometrics 20:647–649
Pielou EC (1960) A single mechanism to account for regular, random and aggregated populations. Journal of Ecology 48:575–584
Ripley BO (1981) Spatial statistics. John Wiley and Sons, New York
Simberloff DS (1979) Nearest neighbour assessment of spatial configurations of circles rather than points. Ecology 60(4):679–685
Simberloff DS, Dillon P, King L, Lorence D, Lowrie S, Schilling E (1978) Holes in the doughnut theory. The dispersion of ant-lions. Brenesia 14/15:13–46