2006 · 10 citations · 0 references
Natural SciencesMathematicsProbability TheoryStatistical ModelingStatisticsBayesian StatisticsParameter EstimationProbabilistic ModelingProbability DistributionsStatistical AnalysisStatistical InferenceParameter Inference
The estimation of a parameter of a model by the measurement of a random variable whose distribution depends on this parameter is one of the main tasks of statistics. In this paper the notion of the statistically dual distributions is introduced. An approach, based on the properties of the statistically dual distributions, to resolve the given task is proposed. 1.