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Estimation of Regression Parameters from Noise Multiplied Data
Author(s) -
YanXia Lin,
Phillip G. Wise
Publication year - 2013
Publication title -
journal of privacy and confidentiality
Language(s) - English
Resource type - Journals
ISSN - 2575-8527
DOI - 10.29012/jpc.v4i2.622
Subject(s) - regression , regression analysis , statistics , multiplicative function , computer science , noise (video) , linear regression , unit (ring theory) , data mining , mathematics , artificial intelligence , mathematical analysis , image (mathematics) , mathematics education
This paper considers the scenario that all data entries in a conden- tialised unit record le are masked by multiplicative noises, regardless of whether unit records are sensitive or not and regardless of whether the masked variables are dependent or independent variables in the underlying regression analysis. A technique is introduced in this paper to show how to estimate parameters in a regression model, which is originally tted by unmasked data, based on masked data. Several simulation studies and a real-life data application are presented. AMS Subject Classication: 62D99, 62J99, 62P

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