mMdist {OSFD}

Minimax distance

Description

mMdist computes the minimax distance of a deisng in a specified region. A large uniform sample from the specified region is need to compute the minimax distance.

Usage

mMdist(X, X_space)

Arguments

X

a matrix specifying the design.

X_space

a large sample of uniform points in the space of interest.

Details

mMdist approximates the minimax distance of a set of points X by the large sample X_space in the space of interest.

Value

the minimax distance.

References

Johnson, Mark E., Leslie M. Moore, and Donald Ylvisaker. "Minimax and maximin distance designs." Journal of statistical planning and inference 26.2 (1990): 131-148.

Wang, Shangkun, Adam P. Generale, Surya R. Kalidindi, and V. Roshan Joseph. "Sequential Designs for Filling Output Spaces." Technometrics, to appear (2023).

Examples

# the minimax distance of a random Latin hypercube design
D = randomLHS(5,2)
mMdist(D,replicate(2,runif(1e5)))