CONDITIONS FOR EXACT CAVALIERI 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.

Keywords

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