Latinized Partially Stratified Sampling

Generate random samples of an nD random vector using Latinized Partially Stratified Sampling

The LPSS code generates n-dimensional uniform samples on [0,1] according to the latinized partially stratified sampling methodology. The method serves to generalize the Latin hypercube sampling method such that stratification occurs on subdomains of user-prescribed dimension. The method is described in detail in:
Shields, M.D. and Zhang, J. (2016). "The generalization of Latin hypercube sampling." Reliability Engineering and System Safety. 148: 96-108.
A simple demonstration is provided that shows graphically how a five dimensional sample can be constructed according to stratification on two 2-dimensional subdomains and one 1-dimensional subdomain.

Code for application to a 6-dimensional plate buckling problem presented by Shields and Zhang is also provided.