Dear R,
I have a covariates matrix with 10 observations, e.g.
> X <- matrix(rnorm(50), 10, 5)
> X
[,1] [,2] [,3] [,4] [,5]
[1,] 0.24857135 0.30880745 -1.44118657 1.10229027 1.0526010
[2,] 1.24316806 0.36275370 -0.40096866 -0.24387888 -1.5324384
[3,] -0.33504014 0.42996246 0.03902479 -0.84778875 -2.4754644
[4,] 0.06710229 1.01950917 -0.09325091 -0.03222811 0.4127816
[5,] -0.13619141 1.33143821 -0.79958805 2.08274102 0.6901768
[6,] -0.45060357 0.19348831 -1.23793647 -0.72440163 0.5057326
[7,] -1.20740516 0.20231086 1.15584485 0.81777770 -1.2719855
[8,] -1.81166284 -0.07913113 -0.91080581 -0.34774436 0.9552182
[9,] 0.19131383 0.14980569 -0.37458224 -0.09371273 -1.7667203
[10,] -0.85159276 -0.66679528 1.63019340 0.56920196 -2.4049600
And I define a boundary of X: The smallest "ball" that nests all the
observations of X. I wish to check if a particular point x_i
> x_i <- matrix(rnorm(5), 1, 5)
> x_i
[,1] [,2] [,3] [,4] [,5]
[1,] -0.1525543 0.4606419 -0.1011011 -1.557225 -1.035694
is inside the boundary of X or not. I know it's easy to do it with 1-D or
2-D, but I don't knot how to manage it when the dimension is large.
Can someone give a hint? Thanks in advance!
Feng
--
Feng Li
Department of Statistics
Stockholm University
106 91 Stockholm, Sweden
http://feng.li/
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