Qm
Statistics

MLE for the fraction of high ratings

maximum-likelihoodmultinomiallagrange-multiplier

Customer reviews are bucketed as low, mid, or high, treated as independent draws with fixed probabilities summing to 1. Out of 300 reviews the counts are 40 low, 110 mid, 150 high.

What is the maximum likelihood estimate of the probability of a high rating?

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Choosing and Fitting a Distribution FamilyThe Exponential FamilyExponential Family DistributionsGeneralized Linear ModelsThe Heckman Selection Correction

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