Unfolding spheres size distribution from linear sections with B-splines and EMDS algorithm

• Autorzy: Szkutnik Z.
• Języki publikacji: EN

Abstrakty

EN

The stereological problem of unfolding spheres size distribution from linear sections is formulated as a problem of inverse estimation of a Poisson process intensity function. A singular value expansion of the corresponding integral operator is given. The theory of recently proposed B-spline sieved quasi-maximum likelihood estimators is modified to make it applicable to the current problem. Strong L2-consistency is proved and convergence rates are given. The estimators are implemented with the recently proposed EMDS algorithm. Promising performance of this new methodology in finite samples is illustrated with a numerical example. Data grouping effects are also discussed.

Słowa kluczowe

EN

inverse problem; singular value expansion; stereology; discretization; quasi-maximum likelihood estimator

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2007
• Tom: Vol. 27, no. 1
• Strony: 151--165
• Opis fizyczny: Bibliogr. 13 poz., rys., wykr.

Twórcy

autor

Szkutnik Z.

• AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Cracow, Poland,

Bibliografia

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