Minimum norm quadratic unbiased estimation, or MINQUE, is a method for improving the variance estimates of noise components in a Gauss-Markov least-squares problem. This study treats a simple special case: estimating the two noise levels of a clock whose phase noise is the sum of white FM and random walk FM. Given prior estimates of the noise levels, perhaps from an Allan deviation plot, MINQUE calculates new estimates and their uncertainties. Although the original MINQUE calculation on N data takes O(N~2) space and O(N~3) time, it can be done sequentially in bounded space and O(N) time. The method is applied to data from a simulation and from a comparison of two hydrogen masers.
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