Další formáty:
BibTeX
LaTeX
RIS
@article{1067013, author = {Katina, Stanislav and Wellmann, R. and Muller, Ch.H.}, article_location = {Bratislava}, article_number = {1}, keywords = {simplicial depth; maximum depth estimator; distribution-free tests; one-sample tests; two-sample tests; shape analysis; allometry}, language = {eng}, issn = {1210-3195}, journal = {Tatra Mountains Mathematical Publications}, title = {Simplical depth estimators and tests in examples from shape analysis}, url = {http://tatra.mat.savba.sk/}, volume = {39}, year = {2008} }
TY - JOUR ID - 1067013 AU - Katina, Stanislav - Wellmann, R. - Muller, Ch.H. PY - 2008 TI - Simplical depth estimators and tests in examples from shape analysis JF - Tatra Mountains Mathematical Publications VL - 39 IS - 1 SP - 95-104 EP - 95-104 PB - Matematický ústav SAV SN - 12103195 KW - simplicial depth KW - maximum depth estimator KW - distribution-free tests KW - one-sample tests KW - two-sample tests KW - shape analysis KW - allometry UR - http://tatra.mat.savba.sk/ N2 - In this paper we present the maximum simplicial depth estimator and compare it to the ordinary least square estimator in examples from 2D and 3D shape analysis focusing on bivariate and multivariate allometrical problems from zoology and biological anthropology. We compare two types of estimators derived under different subsets of parametric space on the basis of the linear regression model, theta = (theta1, theta2)T in R2 and theta = (theta1, theta2, theta3)T in R3, where theta3 = 0. We also discuss monotonically decreasing linear regression models in special situations. In applications where outliers in x- or y-axis direction occur in the data and residuals from ordinary least-square linear regression model are not normally distributed, we recommend the use of the maximum simplicial depth estimators. ER -
KATINA, Stanislav, R. WELLMANN a Ch.H. MULLER. Simplical depth estimators and tests in examples from shape analysis. \textit{Tatra Mountains Mathematical Publications}. Bratislava: Matematický ústav SAV, 2008, roč.~39, č.~1, s.~95-104. ISSN~1210-3195.
|