IEEE Transactions on Information Theory · 1989 · 189 citations · 10 references
Natural SciencesMathematicsProbability TheoryStatistical ComputingStatisticsEntropyInferential StatisticsMultivariate AnalysisMultivariate StatisticsOrder StatisticsProbability DistributionsAsymptotic AnalysisAsymptotic Distribution TheoryAsymptotic TheoryEntropy EstimationMinimum Variance Unbiased EstimationMultivariate DistributionsMultivariate EntropyMultivariate Order Statistics
Entropy expressions for several continuous multivariate distributions are derived. Point estimation of entropy for the multinormal distribution and for the distribution of order statistics from D.G. Weinman's (Ph.D dissertation, Ariz. State Univ., Tempe, AZ, 1966) exponential distribution is considered. The asymptotic distribution of the uniformly minimum variance unbiased estimator for multinormal entropy is obtained. Simulation results on convergence of the means and variances of these estimators are provided.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Linear Statistical Inference and Its Applications.
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