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.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
@article{10_4064_am_22_3_331_337,
     author = {Wolfgang K\"uhne and Peter Neumann and Dietrich Stoyan and Helmut Stoyan},
     title = {Pairs of successes in {Bernoulli} trials and a new n-estimator for the binomial distribution},
     journal = {Applicationes Mathematicae},
     pages = {331--337},
     publisher = {mathdoc},
     volume = {22},
     number = {3},
     year = {1993},
     doi = {10.4064/am-22-3-331-337},
     zbl = {0812.62027},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am-22-3-331-337/}
}
TY  - JOUR
AU  - Wolfgang Kühne
AU  - Peter Neumann
AU  - Dietrich Stoyan
AU  - Helmut Stoyan
TI  - Pairs of successes in Bernoulli trials and a new n-estimator for the binomial distribution
JO  - Applicationes Mathematicae
PY  - 1993
SP  - 331
EP  - 337
VL  - 22
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am-22-3-331-337/
DO  - 10.4064/am-22-3-331-337
LA  - en
ID  - 10_4064_am_22_3_331_337
ER  - 
%0 Journal Article
%A Wolfgang Kühne
%A Peter Neumann
%A Dietrich Stoyan
%A Helmut Stoyan
%T Pairs of successes in Bernoulli trials and a new n-estimator for the binomial distribution
%J Applicationes Mathematicae
%D 1993
%P 331-337
%V 22
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am-22-3-331-337/
%R 10.4064/am-22-3-331-337
%G en
%F 10_4064_am_22_3_331_337
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. http://geodesic.mathdoc.fr/articles/10.4064/am-22-3-331-337/

Cité par Sources :