• 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)



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


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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How to Cite

Tinajero-Bravo, M., Eslava-Gómez, G., & Cruz-Orive, L. M. (2014). CONDITIONS FOR EXACT CAVALIERI ESTIMATION. Image Analysis and Stereology, 33(3), 219–224.



Original Research Paper