Estimating Hot Numbers and Testing Uniformity for the Lottery
Journal of the American Statistical Association(1993)
摘要
We consider the problem of estimating probabilities for the different numbers in a lottery when the winning numbers are selected sequentially without replacement. Numerical methods are developed to compute maximum likelihood estimates of the probabilities and their variance-covariance matrix based on observed outcomes. The generalized likelihood ratio statistic –2 ln(λ) for testing equiprobable numbers is also given. The methods are applied to a data set from the Lotto America lottery. The properties of the procedure are studied by simulation.
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关键词
LIKELIHOOD RATIO TEST,MAXIMUM LIKELIHOOD ESTIMATORS,SAMPLING WITHOUT REPLACEMENT
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