- Tytuł:
- Nonparametric bootstrap confidence bands for unfolding sphere size distributions
- Autorzy:
- Wojdyła, Jakub
- Powiązania:
- https://bibliotekanauki.pl/articles/2049017.pdf
- Data publikacji:
- 2021
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
bootstrap
confidence bands
inverse problem
nonparametric density estimation
Wicksell’s problem - Opis:
- The stereological inverse problem of unfolding the distribution of spheres radii from measured planar sections radii, known as the Wicksell’s corpuscle problem, is considered. The construction of uniform confidence bands based on the smoothed bootstrap in the Wicksell’s problem is presented. Theoretical results on the consistency of the proposed bootstrap procedure are given, where the consistency of the bands means that the coverage probability converges to the nominal level. The finite-sample performance of the proposed method is studied via Monte Carlo simulations and compared with the asymptotic (non-bootstrap) solution described in literature.
- Źródło:
-
Opuscula Mathematica; 2021, 41, 5; 725-740
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł