Stability theorems-Reference-Cited by-同舟云学术

Stability theorems

Published:1977-06 Issue:2 Volume:9 Page:336-361
ISSN:0001-8678
Container-title:Advances in Applied Probability
language:en
Short-container-title:Advances in Applied Probability

Author:

Lukacs Eugene

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference56 articles.

1. * No English translation of these Russian papers was available at the time this paper was written.

2. Some new inequalities in probability connected with the Lévy metric;Zolotarev;Dokl. Akad. Nauk SSSR,1970

3. On the problem of stability of the decomposition of the normal law into components;Zolotarev;Teor. Verojatnost. i Primenen.,1968

4. On independent samples from a normal population (Russian);Zinger;Uspehi Mat. Nauk NS,1951

5. A stability theorem for the binomial law;Ramachandran;Sankhyā,1963

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