The log-concave maximum likelihood estimator of a density on the real line based on a sample of size n is known to attain the minimax optimal rate of convergence of O(n−4/5) with respect to, for ...
We study a likelihood ratio test for the location of the mode of a log-concave density. Our test is based on comparison of the log-likelihoods corresponding to the unconstrained maximum likelihood ...
An empirical method, designated as DMR (density-magnetic resonance) porosity, combines density and nuclear magnetic resonance porosities to improve the estimate of tight gas sand porosity. The DMR ...
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