- Tytuł:
- Optimal estimator of hypothesis probability for data mining problems with small samples
- Autorzy:
-
Piegat, A
Landowski, M. - Powiązania:
- https://bibliotekanauki.pl/articles/330967.pdf
- Data publikacji:
- 2012
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
estymacja prawdopodobieństwa
interpretacja częstotliwości prawdopodobieństwa
interpretacja kompletności prawdopodobieństwa
teoria niepewności
single case problem
probability estimation
frequency interpretation of probability
completeness interpretation of probability
uncertainty theory - Opis:
- The paper presents a new (to the best of the authors' knowledge) estimator of probability called the "[...] completeness estimator" along with a theoretical derivation of its optimality. The estimator is especially suitable for a small number of sample items, which is the feature of many real problems characterized by data insufficiency. The control parameter of the estimator is not assumed in an a priori, subjective way, but was determined on the basis of an optimization criterion (the least absolute errors).The estimator was compared with the universally used frequency estimator of probability and with Cestnik's m-estimator with respect to accuracy. The comparison was realized both theoretically and experimentally. The results show the superiority of the [...] completeness estimator over the frequency estimator for the probability interval ph (0.1, 0.9). The frequency estimator is better for ph [0, 0.1] and ph [0.9, 1].
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2012, 22, 3; 629-645
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł