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The Binomial distribution and its properties are discussed in detail including maximum likelihood estimation of the probability \(p\). Exact and approximate hypothesis tests and confidence intervals are provided for \(p\). Inverse sampling and the Negative Binomial Distribution are also considered.
KeywordsBernoulli trials Maximum likelihood estimate Likelihood-ratio test Inverse sampling Negative-Binomial distribution Exact hypothesis test for a probability Exact and approximate confidence intervals for a probability Poisson approximation to the Binomial distribution
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