Kaplan-Meier estimators of distance distributions for spatial point processes
نویسندگان
چکیده
منابع مشابه
Kaplan-meier Estimators of Interpoint Distance Distributions for Spatial Point Processes
When a spatial point process is observed through a bounded window, edge eeects hamper the estimation of characteristics such as the empty space function F , the nearest neighbour distance distribution G, and the second order moment function K. Here we propose and study product-limit type estimators of F; G and K based on the analogy with censored survival data: the distance from a xed point to ...
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The linear contact distribution function is shown to be continuously diieren-tiable for any stationary random closed set, which implies the existence of a continuous density and hazard rate. Moreover, it is proved that the density is monotone decreasing. When the linear contact distribution function is estimated from observations in a bounded window, the distance to the set of interest from a x...
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The Kaplan–Meier estimator is a nonparametric estimator which may be used to estimate the survival distribution function from censored data. The estimator may be obtained as the limiting case of the classical actuarial (life table) estimator, and it seems to have been first proposed by Böhmer [2]. It was, however, lost sight of by later researchers and not investigated further until the importa...
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A class of statistics based on the integrated weighted difference in Kaplan-Meier estimators is introduced for the two-sample censored data problem. With positive weight functions these statistics are intuitive for and sensitive against the alternative of stochastic ordering. The standard weighted log-rank statistics are not always sensitive against this alternative, particularly if the hazard ...
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The minimum averaged mean squared error nonparametric adaptive weights use data from m possibly different populations to infer about one population of interest. The definition of these weights is based on the properties of the empirical distribution function. We use the Kaplan-Meier estimate to let the weights accommodate right-censored data and use them to define the weighted Kaplan-Meier esti...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 1997
ISSN: 0090-5364
DOI: 10.1214/aos/1034276629