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2 results

  • Stability theorems

  • Eugene Lukacs
  • Journal:
    Advances in Applied Probability / Volume 9 / Issue 2 / June 1977
    Published online by Cambridge University Press:
    01 July 2016, pp. 336-361
    Print publication:
    June 1977

  • A stability theorem determines the extent to which the conclusions of a given theorem are affected if the assumptions of the theorem are not exactly but only approximately satisfied. The meaning of the word ‘approximately’ has to be defined exactly. The stability of decomposition theorems, of characterizations by independence and by regression properties are the primary object of the paper.

  • On an extension of a theorem of Linnik and Zinger

  • Béla Gyires
  • Journal:
    Advances in Applied Probability / Volume 7 / Issue 4 / December 1975
    Published online by Cambridge University Press:
    01 July 2016, pp. 786-800
    Print publication:
    December 1975

  • In their paper [2] Linnik and Zinger proved a theorem which has an important role in both theoretical and applied statistics. For the proof of their theorem the authors used a condition which greatly narrows down its applicability. In this paper we prove the theorem of Linnik and Zinger without this condition, and also give other extensions of it.