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Pairs of successes in Bernoulli trials and a new n-estimator for the binomial distribution

Wolfgang KühnePeter NeumannDietrich StoyanHelmut Stoyan — 1994

Applicationes Mathematicae

The problem of estimating the number, n, of trials, given a sequence of k independent success counts obtained by replicating the n-trial experiment is reconsidered in this paper. In contrast to existing methods it is assumed here that more information than usual is available: not only the numbers of successes are given but also the number of pairs of consecutive successes. This assumption is realistic in a class of problems of spatial statistics. There typically k = 1, in which case the classical...

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