Geodesic
Pairs of successes in Bernoulli trials and a new n-estimator for the binomial distribution
Applicationes Mathematicae, Tome 22 (1993) no. 3, pp. 331-337 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 estimators cannot be used. The quality of the new estimator is analysed and, for k > 1, compared with that of a classical n-estimator. The theoretical basis for this is the distribution of the number of success pairs in Bernoulli trials, which can be determined by an elementary Markov chain argument.
DOI : 10.4064/am-22-3-331-337
Keywords: n-estimator, simulation, silicon wafer, Markov chain, binomial distribution

Wolfgang Kühne 1 ; Peter Neumann 1 ; Dietrich Stoyan 1 ; Helmut Stoyan 1

1 
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Wolfgang Kühne; Peter Neumann; Dietrich Stoyan; Helmut Stoyan. Pairs of successes in Bernoulli trials and a new n-estimator for the binomial distribution. Applicationes Mathematicae, Tome 22 (1993) no. 3, pp. 331-337. doi: 10.4064/am-22-3-331-337

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