ASAL BİLEŞENLER ANALİZİNE BOOTSTRAP YAKLAŞIMI

Bu çalışmada, bootstrap yöntemlerin asal bileşenler analizine uygulanma sürecini sunduk. Hipotetik bir veri ile asal bileşenler analizinde başvurulan bazı güven aralıklarının bootstrap yöntemlerle nasıl gerçekleştirilebileceğini gösterdik. Makaledeki tüm bootstrap süreçleri Mathematica dilinde yazdığımız bir programla gerçekleştirdik.

___

  • Aktükün, L.A. (2002), Bootstrap Yöntemler ve Doğrusal Regresyon Modellerine Uygulanması,
  • İstanbul Üniversitesi, Sosyal Bilimler Enstitüsü, İstanbul. Anderson, T.W. (1958), An Introduction to Multivariate Analysis, Wiley, NewYork.
  • Anderson, T.W. (1963), "Asymptotic theory for principal components", Annals of Mathematical Statistics, 34, 122-148.
  • Bartlett, M.S. (1950), "Test of significance in factor analysis", British Journal of Psychology, 3, 77-78.
  • Beran, R., Srivastava, M.S., (1985), "Bootstrap tests and confidence regions for functions of covariance matrix", Ann. Statist., 13, 95-115.
  • Beran, R., Ducharme, G.R. (1991), Asymptotic Theory for Bootstrap Methods in Statistics, Les
  • Publications Centre de Recherches Mathematiques, Université de Montréal, Montréal. Davison, A.C., Hinkley, D.V. (1997), Bootstrap Methods and Their Application, Cambridge,
  • Cambridge University Press. Efron, B. (1979), "Bootstrap Methods: Another look at the Jackknife", Ann. Statist., Vol.7, s.1-26.
  • Efron, B., Tibshirani, R.J. (1993), An Introduction to The Bootstrap, USA, Chapman&Hall.
  • Freedman, D.A. (1981), "Bootstrapping regression models.", Ann. Statist., Vol.9, s.1218-1228.
  • Hall, P. (1992), The Bootstrap and Edgeworth Expension, New York, Springer.
  • Jobson, J.D. (1994), Applied Multivariate Data Analysis : Volume II: Categorical and Multivariate
  • Methods, Springer, NewYork. Mammen, E. (1992), When Does Bootstrap Work? Asymptotic Results and Simulations, Volume 77 of Lecture Notes in Statistics, New York, Springer.
  • Morrison, D.F. (1976), Multivariate Statistical Methods, Second Ed., McGraw-Hill, NewYork.
  • Shao, J., Tu, D. (1995), The Jackknife and Bootstrap, New York, Springer.
  • Wu, F.J. (1986), "Jackknife, bootstrap and other resampling methods in regression analysis (With discussions)", Ann. Statist., Vol.14, s.1261-1350.
  • Ek 1. Çok Değişkenli Normal Dağılımdan Türetilen Hipotetik Veri x1 2324 4832 9279 3259 2607 9219 2343 4531 9761 6812 4669 0778 3292 1901 2698 9659 248 1117 5081