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Estimation of True Quantiles from Quantitative Data Obfuscated with Additive Noise Cover

Estimation of True Quantiles from Quantitative Data Obfuscated with Additive Noise

By: Debolina Ghatak and  Bimal Roy  
Open Access
|Sep 2018

Abstract

Privacy protection and data security have recently received a substantial amount of attention due to the increasing need to protect various sensitive information like credit card data and medical data. There are various ways to protect data. Here, we address ways that may as well retain its statistical uses to some extent. One such way is to mask a data with additive or multiplicative noise and revert to certain desired parameters of the original distribution from the knowledge of the noise distribution and masked data. In this article, we discuss the estimation of any desired quantile of a quantitative data set masked with additive noise. We also propose a method to choose appropriate parameters for the noise distribution and discuss advantages of this method over some existing methods.

Language: English
Page range: 671 - 694
Submitted on: Mar 1, 2016
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Accepted on: Oct 1, 2017
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Published on: Sep 1, 2018
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2018 Debolina Ghatak, Bimal Roy, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.