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math.ST2023
The Fisher Geometry and Geodesics of the Multivariate Normals, without Differential Geometry
Brodie A. J. Lawson, Kevin Burrage, Kerrie Mengersen +1
Choosing the Fisher information as the metric tensor for a Riemannian manifold provides a powerful yet fundamental way to understand statistical distribution families. Distances al…
math.ST2015★ 4 cited
Estimates of the coverage of parameter space by Latin Hypercube and Orthogonal sampling: connections between Populations of Models and Experimental Designs
Diane Donovan, Kevin Burrage, Pamela Burrage +3
In this paper we use counting arguments to prove that the expected percentage coverage of a dimensional parameter space of size when performing trials with either Latin…