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Maximum likelihood characterization of distributions
Location parameter Maximum Likelihood Es-timator Minimal necessary sample size MLE characterization Scale pa-rameter Score function.
2012/9/19
Gauss’ principle states that the maximum likelihood estimator of the parameter in a location family is the sample mean for all samples of all sample sizes if and only if the family is Gaussian. There ...
Asymptotic Efficiency of Goodness-of-fit Tests for the Power Function Distribution Based on Puri--Rubin Characterization
Power function distribution,U-statistics characterizations Bahadur efficiency
2012/9/18
We construct integral and supremum type goodness-of-fit tests for the family of power distribution functions. Test statistics are functionals of U−empirical processes and are based on the classi...