Abstract
A problem in the earth sciences is to reduce a sequence of observation vectors X1, X2, …, XN to a set of internally homogeneous segments or zones. This paper uses the model that the observation vectors in the ith zone are a random sample from the multivariate normal N(ξi, Σi) distribution. It is demonstrated that the maximum likelihood estimates of the boundaries between zones may be determined by dynamic programming, and a FORTRAN algorithm to perform this estimation is given.
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