# ericstalbot

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 Oct28 awarded Popular Question Feb7 accepted Estimating the number of times each of four pairs of dice was thrown Jan25 awarded Citizen Patrol Aug22 awarded Scholar Aug22 accepted What is the normal approximation of the multinomial distribution? Aug17 comment What is the normal approximation of the multinomial distribution? I guess my statistical sophistication is not enough to connect the dots in this answer. If I have the sample size n and the probabilities P, how do I calculate the mean vector and the covariance matrix of the multivariate normal distribution? Aug17 asked What is the normal approximation of the multinomial distribution? Jun29 awarded Supporter Jun28 comment Estimating the number of times each of four pairs of dice was thrown @MichaelChernick I think it turns out that we don't need to know $N$ or $n_9$ at all. See my answer. Jun28 answered Estimating the number of times each of four pairs of dice was thrown Jun27 awarded Quorum Jun27 comment Estimating the number of times each of four pairs of dice was thrown Very good response, but I'm still wondering if there might be way to estimate N. A conceptual example: suppose p is close to one. Suppose also that I got response 1 one time, and responses 2-8 zero times. Having this result would be very unlikely if N were very large, so we can conclude that N is probably not very large. Is there a way to estimate the N that maximizes the probability of the results n1-n8? Jun27 awarded Student Jun27 asked Estimating the number of times each of four pairs of dice was thrown