THE VARIANCE OF THE OVERLAP OF GEOMETRICAL FIGURES WITH REFERENCE TO A BOMBING PROBLEM
成果类型：
Article
署名作者：
GARWOOD, F
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
发表日期：
1947
页码：
117
关键词：
摘要：
The general problem in the mathematical study of bombing consists of estimating the overall effect on a given objective. The problem is further restricted to calculation of the mean and variance of the portion of the objective area covered by destruction areas dropped in random fashion on a section of a plane including the objective area in its interior. For the areas considered (rectangles and circles), calculation of the mean presents no great difficulty. Methods, due to H. E. Robbins and to J. Bronowski and J. Neyman, are presented for calculating the variances. For the special case of the variance of the fraction of a fixed square covered by k circles, an empirical formula is given and shown to be in reasonable agreement with the exact values.