Geodesic
Stereology of extremes; size of spheroids
Mathematica Bohemica, Tome 128 (2003) no. 4, pp. 419-438.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The prediction of size extremes in Wicksell’s corpuscle problem with oblate spheroids is considered. Three-dimensional particles are represented by their planar sections (profiles) and the problem is to predict their extremal size under the assumption of a constant shape factor. The stability of the domain of attraction of the size extremes is proved under the tail equivalence condition. A simple procedure is proposed of evaluating the normalizing constants from the tail behaviour of appropriate distribution functions and its results are employed for the estimation of the spheroid size. Examples covering families of Gamma, Pareto and Weibull distributions are provided. A short discussion of maximum likelihood estimators of the normalizing constants is also included.
DOI : 10.21136/MB.2003.134007
Classification : 60G70, 62G32, 62P30
Keywords: sample extremes; domain of attraction; normalizing constants; FGM system of distributions 
@article{10_21136_MB_2003_134007,
     author = {Hlubinka, Daniel},
     title = {Stereology of extremes; size of spheroids},
     journal = {Mathematica Bohemica},
     pages = {419--438},
     publisher = {mathdoc},
     volume = {128},
     number = {4},
     year = {2003},
     doi = {10.21136/MB.2003.134007},
     mrnumber = {2032479},
     zbl = {1053.60053},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2003.134007/}
}
TY  - JOUR
AU  - Hlubinka, Daniel
TI  - Stereology of extremes; size of spheroids
JO  - Mathematica Bohemica
PY  - 2003
SP  - 419
EP  - 438
VL  - 128
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2003.134007/
DO  - 10.21136/MB.2003.134007
LA  - en
ID  - 10_21136_MB_2003_134007
ER  - 
%0 Journal Article
%A Hlubinka, Daniel
%T Stereology of extremes; size of spheroids
%J Mathematica Bohemica
%D 2003
%P 419-438
%V 128
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2003.134007/
%R 10.21136/MB.2003.134007
%G en
%F 10_21136_MB_2003_134007
Hlubinka, Daniel. Stereology of extremes; size of spheroids. Mathematica Bohemica, Tome 128 (2003) no. 4, pp. 419-438. doi : 10.21136/MB.2003.134007. http://geodesic.mathdoc.fr/articles/10.21136/MB.2003.134007/

Cité par Sources :