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Analysis of parameters of rail vehicles

Autorzy
Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, mixture of two normal distributions is proposed to accommodate the values of rail vehicles parameters. We also present the most commonly used maximum likelihood estimation to fit the two component mixture of normal distribution using data sets of rail vehicles.
Rocznik
Strony
32--40
Opis fizyczny
Bibliogr. 14 poz., wykr., tab.
Twórcy
autor
  • University of Technology and Life Science in Bydgoszcz, Faculty of Management Science, Fordonska 430 st, 85-789 Bydgoszcz, Poland
Bibliografia
  • [1] Dempster, A.P., Larid, N.M. and Rubin, D.B., Maximum likelihood from incomplete data via the EM algorithm, Journal Statistical Society, Series B, 39, pp. 1─38, 1977.
  • [2] Hastie, T., Tibshirani, R. and Friedman, J., The Elements of Statistical Learning: Data Mining, Inference and Prediction, Springer Verlag, 2001.
  • [3] Fruhwirth-Schnatter, S.,Finite Mixture and Markov, Switching Models, New York, Springer, Verlag 2006.
  • [4] Knopik, L., Mixture of distributions as a lifetime distribution of a technical object, Scientific Problems of Machines Operation and Maintenance, Vol.162, No2, pp.53─61, 2010.
  • [5] Knopik, L., Mixture of distributions as a lifetime distribution of a bus engine, Journal of Polish CIMAC Vol.6, No1, pp. 119─129, 2011.
  • [6] Knopik, L., Model of instantaneous failures, Scientific Problems of Machines Operation and Maintenance, Vol.163, No4, pp. 123─133, 2011.
  • [7] Knopik, L., Statistical analysis of failures, Journal of Polish CIMAC Vol.7, No.2, pp. 91─ 95, 2012.
  • [8] Lindsay, B.G., Mixture Model: Theory, Geometry and Applications, Hayward Institute of Mathematical Statistics, 1995.
  • [9] MacLachan, G. J. and Basford K. E., Mixture Model: Inference and Applications to Clustering, Marcel Dekker, New York, 1988.
  • [10] MacLachlan, G. and Peel, D., Finite Mixture Models, John Wiley and Sons, New York, 2000.
  • [11] MacLachan, G.J. and Krishan, T., The EM algorithm and extensions, John Wiley & Sons, New York, 1997.
  • [12] Teicher, H., Identifiability of mixtures, The Annals of Mathematical Statistics, vol. 32, No.1, 244-249, 1961.
  • [13] Teicher, H., Identifiability of finite mixtures, The Annals of Mathematical Statistics, vol. 34, No.4, 1265- 1269, 1963.
  • [14] Titterington, D.M., Smith A.F.M. and Makov U.E., Statistical Analysis of Finite Mixture Distribution, John Wiley and Sons, New York, 1985.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-6535b67e-6ddb-4228-978f-7ece7dd3f1b8
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