Optimal estimator of hypothesis probability for data mining problems with small samples
By: Andrzej Piegat and Marek Landowski
References
- Ben-Haim, Y. (2006)., Elsevier, Oxford/ Amsterdam.
- Burdzy, K. (2009)., World Scientific, Singapore.
- Burdzy, K. (2011a). Blog on the book, http://search4certainty.blogspot.com/.
- Burdzy, K. (2011b). Philosophy of probability, Website, http://www.math.washington.edu/burdzy/philosophy/.
- Carnap, R. (1952)., University Press, Chicago, IL.
- Cestnik, B. (1990). Estimating probabilities: A crucial task in machine learning,L. Aiello (Ed.),, Pitman, London, pp. 147-149.
- Cestnik, B. (1991)., Ph.D. thesis, Faculty of Computer and Information Science, University of Ljubljana, Ljubljana.
- Chernoff, H. (1952). A measure of asymptotic efficiency for test of a hypothesis based on the sum of observations,(4): 493-507.
- Cichosz, P. (2000)., Wydawnictwa Naukowo-Techniczne, Warsaw, (in Polish).
- Cios, K. and Kurgan, L. (2001). SPECT heart data set, UCI Machine Learning Repository, http://archive.ics.uci.edu/ml/datasets/spect+heart.
- De Finetti, B. (1975)., Willey, London.
- Dubois, D. and Prade, H. (1988)., Plenum Press, New York/NY, London.
- Furnkranz, J. and Flach, P.A. (2005). Roc’n’rule learning: Towards a better understanding of covering algorithms,(1): 39-77.
- Hajek, A. (2010). Interpretations of probability,E.N. Zalta, (Ed.),, http://plato.stanford.edu/entries/probability-interpret/.
- Khrennikov, A. (1999)., Brill Academic Pub., Utrecht/ Boston, MA.
- Klirr, G.J. and Yuan, B. (1996)., World Scientific, Singapore.
- Laplace, P.S. (1814, English edition 1951)., Dover Publication, New York/NY.
- Larose, D.T. (2010)., W.H. Freeman and Company, New York, NY.
- Piegat, A. (2011a). Uncertainty of probability,K.T. Atanassov, M. Baczy´nski, J. Drewniak, J. Kacprzyk, M. Krawczak, E. Schmidt, M. Wygralak and S. Zadro˙zny (Eds.), IBS PAN, Warsaw, pp. 159-173.
- Piegat, A. (2011b). Basic lecture on completeness interpretation of probability, Website, http://kmsiims.wi.zut.edu.pl/pobierz-pliki/cat view/47-publikacje.
- Polkowski, L. (2002)., Physica-Verlag, Heidelberg/New York, NY.
- Popper, K.R. (1957). The propensity interpretation of the calculus of probability and the quantum theory,S. Korner (Ed.),, Butterworth Scientific Publications, London, pp. 65-70.
- Rocchi, P. (2003)., Kluwer Academic/Plenum Publishers, New York, NY.
- Rokach, L. and Maimon, O. (2008)., Machine Perception and Artificial Intelligence, Vol. 69, World Scientific Publishing, Singapore.
- Shafer, G. (1976)., Princetown University Press, Princetown, NJ .
- Siegler, R.S. (1976). Three aspects of cognitive development,(4): 481-520.
- Siegler, R.S. (1994). Balance scale weight & distance database, UCI Machine Learning Repository, http://archive.ics.uci.edu/ml/datasets/balance+scale.
- Sulzmann, J.N. and Furnkranz, J. (2009). An empirical comparison of probability estimation techniques for probabilistic rules,J. Gama, J. Santos Costa, A.M. Jorge and P. Brazdil (Eds.),, Springer-Verlag, Heidelberg/New York, NY, pp. 317-331.
- Sulzmann, J.N. and Furnkranz, J. (2010). Probability estimation and aggregation for rule learning,, Knowledge Engineering Group, TU Darmstadt, Darmstadt.
- von Mises, R. (1957)., Macmillan, Dover/New York, NY.
- Witten, I.H. and Frank, E. (2005)., Elsevier, Amsterdam.
- Zadeh, L.A. (1965). Fuzzy sets,(3): 338-353.
- Ziarko, W. (1999). Decision making with probabilistic decision tables,N. Zhong (Ed.),, Springer-Verlag, Berlin/Heidelberg, New York, NY, pp. 463-471.
Language: English
Page range: 629 - 645
Published on: Sep 28, 2012
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
Related subjects:
© 2012 Andrzej Piegat, Marek Landowski, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.