Acta Geodaetica et Geophysica Hungarica

, Volume 34, Issue 1–2, pp 87–100 | Cite as

Error Characteristics of Mad-S (of Sample Medians) in Case of Small Samples for Some Parent Distribution Types Chosen from the Supermodels f p (x) and f a (x)

  • F. Steiner
  • B. Hajagos


The error of the sample medians is given in the paper for 14 parent distribution types (for 9 cases the results are also visualized as curves). On the basis of these results one can easily decide for every given task if the asymptotic approximation can be accepted or not. An example is also treated showing the importance of such investigation belonging to finite (or even small) samples.


asymptoticscatter Li-norm sample median semi-intersextile range supermodels fp(x) and fa(x


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Andrews D F, Bickel P J, Hampel F R, Huber P J, Rogers W H, Tukey J W 1972: Robust Estimates of Location. Princeton University Press, Princeton, New JerseyGoogle Scholar
  2. Hajagos B, Steiner F 1997: In: Optimum Methods in Statistics. F Steiner ed., Akadémiai Kiadó, BudapestGoogle Scholar
  3. Huber P J 1981: Robust Statistics. Wiley, New YorkCrossRefGoogle Scholar
  4. Steiner F 1990: Introduction to geostatistics (in Hungarian). Tankönyvkiadó, BudapestGoogle Scholar
  5. Steiner F ed. 1997: Optimum methods in statistics. Akadémiai Kiadó, BudapestGoogle Scholar
  6. Steiner F, Hajagos B 1999: Insufficiency of asymptotic results demonstrated on statistical efficiencies of the L1 norm calculated for some types of the supermodel fp(x). (present issue)Google Scholar
  7. Steiner F, Hajagos B 1999: A more sophisticated definition of the sample median. (present issue)Google Scholar
  8. Tarantola A 1987: Inverse Problem Theory. Elsevier, AmsterdamGoogle Scholar

Copyright information

© Akadémiai Kiadó 1999

Authors and Affiliations

  • F. Steiner
    • 1
  • B. Hajagos
    • 2
  1. 1.Geophysical DepartmentUniversity of MiskolcMiskolcHungary
  2. 2.Institute of MathematicsUniversity of MiskolcMiskolcHungary

Personalised recommendations