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Stability theorems

Published online by Cambridge University Press:  01 July 2016

Eugene Lukacs
Eugene Lukacs*
Affiliation:
Bowling Green State University
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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.

Keywords

stabilityrobustnessdistributionscharacteristic functionsmetricsconstant regressiondecompositionscharacterizationsdensities
Type
Research Article
Information
Advances in Applied Probability , Volume 9 , Issue 2 , June 1977 , pp. 336 - 361
Copyright
Copyright © Applied Probability Trust 1977 

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