- Tytuł:
- Pairs of successes in Bernoulli trials and a new n-estimator for the binomial distribution
- Autorzy:
-
Kühne, Wolfgang
Neumann, Peter
Stoyan, Dietrich
Stoyan, Helmut - Powiązania:
- https://bibliotekanauki.pl/articles/1340510.pdf
- Data publikacji:
- 1994
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
n-estimator
simulation
silicon wafer
Markov chain
binomial distribution - Opis:
- 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.
- Źródło:
-
Applicationes Mathematicae; 1993-1995, 22, 3; 331-337
1233-7234 - Pojawia się w:
- Applicationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł