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A NOTE ON THE GAMMA DISTRIBUTION
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1958
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Good Statistical EstimatorsEngineeringMathematical StatisticEarth ScienceTerrestrial Gamma-ray FlashesParameterizationAtmospheric ScienceEstimation TheoryStatisticsMeteorologyDensity EstimationGeneral PropertiesRadiation MeasurementCosmic RayProbability TheoryGamma DistributionThe Gamma DistributionStatistical InferencePoisson Boundary
The general properties of the gamma distribution, which has several applications in meteorology, are discussed. A short review of the general properties of good statistical estimators is given. This is applied to the gamma distribution to show that the maximum likelihood estimators are jointly sufficient. A new, simple approximation of the likelihood solutions is given, and the efficiency of the fitting procedure is computed.