Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
권호 표지

The Limits of Bivariate Q-Q Plots Based on Matching that Minimizes a Distance

  • Published : 1999.08.01
Download PDF
⟨ Previous Next ⟩

Abstract

One of the most popular graphical techniques for goodness of fit problems is the quantile-quantile plot(Q-Q plot) Easton and McCulloch(1990) suggested a way of generalizing Q-Q plots to multivariate cases bases on finding a matching between the points of the data set whose shape is being examined and a reference sample. in this paper we investigated the asymptotic behavior of the generalized Q-Q plot for bivariate cases. As a result we concluded that the standard univariate Q-Q plot and the generalized Q-Q plot have the same limit if two variables are independent.

Keywords

References

  1. Applied Statistics v.24 Probability plotting methods and order statistics Barnett, V
  2. Statistical estimates and transformed beta-variables Blom, G.
  3. Journal of the American Statistical Association v.49 Use of normal probability paper Chernoff, H.;Liberman, G.J.
  4. Annals of Mathematical Statistics v.27 The Use of generalized probability paper for continuous distributions Chernoff, H.;Liberman, G.J.
  5. Goodness-of-fit Techniques D'Agostino, R.B.;Stephens, M.A.
  6. Some recent advances in Statistics Concomitants of order statistics: Theory and applications David, H.A.;J, Tiago de Olibeira(ed.);B. Epstein(ed.)
  7. Journal of Applied Probability v.11 The asymptotic theory of concomitants of order statistics David, H.A.;Galambos, J.
  8. Journal of the American Statistical Association v.85 A multivariate generalization of quantile-quantile plots Easton, G.S.;McCulloch, J.
  9. Technometrics v.17 The probability plot correlation coefficient test for normality Filiben, J.J.
  10. Inequalities Hardy, G.H.;Littlewood, J.E.;Polya, G.
  11. Communications in Statistics - Theory and Methods v.13 Another look at plotting positions Harter, H.L.
  12. Transactions of the American Society of Civil Engineers v.77 Storage to be provided in impounding reservoirs for municipal water supply Hazen, A.
  13. Journal of the American statistical Association v.55 On the choice of plotting positions on probability paper Kimball, B.F.
  14. The Statistician v.34 Probability plotting positions and goodness of fit for the normal distribution Looney, S.W.;Gulledge, T.R.Jr.
  15. Real analysis Royden, H.L.
  16. Ingeniors Vetenskaps Akademien Handlingar v.153 The Phenomenon of rupture in solids Weibull, W.
  17. Biometrika v.55 Probability plotting methods for the analysis of data Wilk, M.B.;Gnanadedesikan, R.