CONDITIONS FOR EXACT CAVALIERI ESTIMATION

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

doi:10.5566/ias.1073

Authors

Mónica Tinajero-Bravo National Autonomous University of Mexico (UNAM)
Guillermina Eslava-Gómez National Autonomous University of Mexico (UNAM)
Luis Manuel Cruz-Orive University of Cantabria (E-Santander)

DOI:

https://doi.org/10.5566/ias.1073

Keywords:

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

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.

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