CONDITIONS FOR EXACT CAVALIERI ESTIMATION

Mónica Tinajero-Bravo, Guillermina Eslava-Gómez, Luis Manuel Cruz-Orive

Abstract

Exact Cavalieri estimation amounts to zero variance estimation of an integral with systematic observations along a sampling axis. A sufficient condition is given, both in the continuous and the discrete cases, for exact Cavalieri sampling. The conclusions suggest improvements on the current stereological application of fractionator-type sampling.

Keywords
Murthy-Gundersen arrangement; order statistics; smooth fractionator; symmetric population; systematic sampling; zero variance estimation

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DOI: 10.5566/ias.1073

Image Analysis & Stereology
EISSN 1854-5165 (Electronic version)
ISSN 1580-3139 (Printed version)