| Title:
|
Decomposition in stereological unfolding problems (English) |
| Author:
|
Beneš, Viktor |
| Author:
|
Krejčíř, Pavel |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
33 |
| Issue:
|
3 |
| Year:
|
1997 |
| Pages:
|
245-258 |
| . |
| Category:
|
math |
| . |
| MSC:
|
60D05 |
| MSC:
|
60K35 |
| idZBL:
|
Zbl 0912.60025 |
| idMR:
|
MR1463607 |
| . |
| Date available:
|
2009-09-24T19:08:53Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124711 |
| . |
| Reference:
|
[1] A. Baddeley, L. M. Cruz-Orive: The Rao-Blackwell theorem in stereology and some counterexamples.Adv. in Appl. Probab. 27 (1995), 2-19. Zbl 0818.60010, MR 1315573 |
| Reference:
|
[2] V. Beneš A. M. Gokhale, M. Slámova: Unfolding the bivariate size-orientation distribution.Acta Stereol. 15, (1996), 1, 9-14. |
| Reference:
|
[3] R. Coleman: Inverse problems.J. Microsc. 153 (1989), 3, 233-248. |
| Reference:
|
[4] L. M. Cruz-Orive: Particle size-shape distributions: The general spheroid problem, I., II.J. Microsc. 107 (1976), 3, 235-253, 112 (1978), 153-167. |
| Reference:
|
[5] W. Gerlach, J. Ohser: On the accurancy of numerical solutions for some stereological problems as the Wicksell corpuscule problem.J. Biomath. 28 (1986), 7, 881-887. MR 0872774 |
| Reference:
|
[6] A. M. Gokhale: Estimation of bivariate size and orientation distribution of microcracks.Acta Metall. and Mater. 44 (1996), 2, 475-485. |
| Reference:
|
[7] I. S. Gradshtejn, I. M. Ryzhik: Tables of Integrals, Sums, Series and Products.GIFML Moscow 1963. (In Russian.) |
| Reference:
|
[8] L. M. Karlsson, L. M. Cruz-Orive: The new stereological tools in metallography: estimation of pore size and number in aluminium.J. Microscopy 165 (1992), 3, 391-415. |
| Reference:
|
[9] A. Kleinwachter, M. Zähle: Size distribution stereology for quasiellipsoids in $R^n$.Math. Oper. Stat. 17 (1986), 332-335. MR 0849742 |
| Reference:
|
[10] P. Mikusinski H. Sherwood, M. D. Taylor: Probabilistic interpretations of copulas and their convex sums.In: Advances in Probability Distributions with Given Marginals (Dall'Aglio et al, eds.), Kluwer Acad. Publ., Dordrecht 1991, pp. 95-112. MR 1215947 |
| Reference:
|
[11] J. Møller: Stereological analysis of particles of varying ellipsoidal shape.J. Appl. Probab. 25 (1988), 322-335. MR 0938196 |
| Reference:
|
[12] J. Ohser, F. Mücklich: Stereology for some classes of polyhedrons.Adv. in Appl. Probab. 27 (1995), 2, 384-96. MR 1334820 |
| Reference:
|
[13] B. W. Silvermann M. C. Jones D. W. Nychka, J. D. Wilson: A smoothed EM approach to indirect estimation problems, with particular reference to stereology and emission tomography.J. Roy. Statist. Soc. Ser. B 52 (1990), 271-324. MR 1064419 |
| Reference:
|
[14] C. van Putten, J. H. van Schuppen: Invariance properties of the conditional independence relation.Ann. Probab. 13 (1985), 3, 934-945. Zbl 0576.60002, MR 0799429 |
| Reference:
|
[15] S. D. Wicksell: The corpuscule problem. A mathematical study of a biometrical problem.Biometrika 17 (1925), 84-88. |
| . |
