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
Spatial point pattern is an important tool for describing the spatial distribution of species in eco...
Predictive density for a future observation is derived when the given data comes from circular or sp...
AbstractA general nonparametric density estimation problem is considered in which the data is genera...
Nearest neighbour methods traditionally used to estimate density of a sessile biological population ...
Distance-based methods use point-to-point distances or random-location-to-point distances in a cloud...
This paper aims to introduce an estimation algorithm for the joint densityof a circular-circular ran...
I few years ago, while I was working on kernel based density estimation on compact support distribut...
A moment-based methodology is proposed for approx- imating the distribution of the distance between ...
We propose estimating equations whose unknown parameters are the values taken by a circular density ...
We study different ways of determining the mean distance <rn> between a reference point and it...
In molecular sciences, the estimation of entropies of molecules is important for the understanding o...
A large part of non-parametric statistical techniques are in one way or another related to the geome...
We present a new mathematical formalism for analytically obtaining the probability density function,...
We provide four-parameter families of distributions on the circle which are unimodal and display the...
Many real phenomena may be modelled as random closed sets in ℝd, of different Hausdorff dimensions. ...
Spatial point pattern is an important tool for describing the spatial distribution of species in eco...
Predictive density for a future observation is derived when the given data comes from circular or sp...
AbstractA general nonparametric density estimation problem is considered in which the data is genera...
Nearest neighbour methods traditionally used to estimate density of a sessile biological population ...
Distance-based methods use point-to-point distances or random-location-to-point distances in a cloud...
This paper aims to introduce an estimation algorithm for the joint densityof a circular-circular ran...
I few years ago, while I was working on kernel based density estimation on compact support distribut...
A moment-based methodology is proposed for approx- imating the distribution of the distance between ...
We propose estimating equations whose unknown parameters are the values taken by a circular density ...
We study different ways of determining the mean distance <rn> between a reference point and it...
In molecular sciences, the estimation of entropies of molecules is important for the understanding o...
A large part of non-parametric statistical techniques are in one way or another related to the geome...
We present a new mathematical formalism for analytically obtaining the probability density function,...
We provide four-parameter families of distributions on the circle which are unimodal and display the...
Many real phenomena may be modelled as random closed sets in ℝd, of different Hausdorff dimensions. ...
Spatial point pattern is an important tool for describing the spatial distribution of species in eco...
Predictive density for a future observation is derived when the given data comes from circular or sp...
AbstractA general nonparametric density estimation problem is considered in which the data is genera...